matlab matrix conditional assignment

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Conditional function on matrix

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Description

M = matchpairs( Cost , costUnmatched ) solves the linear assignment problem for the rows and columns of the matrix Cost . Each row is assigned to a column in such a way that the total cost is minimized. costUnmatched specifies the cost per row of not assigning each row, and also the cost per column of not having a row assigned to each column.

[ M , uR , uC ] = matchpairs( Cost , costUnmatched ) additionally returns indices for unmatched rows in uR and indices for unmatched columns in uC .

[ ___ ] = matchpairs( Cost , costUnmatched , goal ) specifies the goal of the optimization using any of the output argument combinations in previous syntaxes. goal can be 'min' or 'max' to produce matches that either minimize or maximize the total cost.

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Assign Flights with Minimal Cost

Assign salespeople to flights such that the total cost of transportation is minimized.

A company has four salespeople who need to travel to key cities around the country. The company must book their flights, and wants to spend as little money as possible. These salespeople are based in different parts of the country, so the cost for them to fly to each city varies.

This table shows the cost for each salesperson to fly to each key city.

Dallas Chicago New York City St. Louis Fred $ 6 0 0 $ 6 7 0 $ 9 6 0 $ 5 6 0 Beth $ 9 0 0 $ 2 8 0 $ 9 7 0 $ 5 4 0 Sue $ 3 1 0 $ 3 5 0 $ 9 5 0 $ 8 2 0 Greg $ 3 2 5 $ 2 9 0 $ 6 0 0 $ 5 4 0

Each city represents a sales opportunity. If a city is missed, then the company loses out on an average revenue gain of $2,000.

Create a cost matrix to represent the cost of each salesperson flying to each city.

Use matchpairs to assign the salespeople to the cities with minimal cost. Specify the cost of unassignment as 1000, since the cost of unassignment is counted twice if a row and a column remain unmatched.

matchpairs calculates the least expensive way to get a salesperson to each city.

Dallas Chicago New York City St. Louis Fred $ 6 0 0 $ 6 7 0 $ 9 6 0 $ 560 Beth $ 9 0 0 $ 280 $ 9 7 0 $ 5 4 0 Sue $ 310 $ 3 5 0 $ 9 5 0 $ 8 2 0 Greg $ 3 2 5 $ 2 9 0 $ 600 $ 5 4 0

Unequal Numbers of Rows and Columns

Match rows to columns when you have many more columns than rows in the cost matrix.

Create a 3-by-8 cost matrix. Since you have only three rows, matchpairs can produce at most three matches with the eight columns.

Use matchpairs to match the rows and columns of the cost matrix. To get the maximum number of matches, use a large cost of unassignment (relative to the magnitude of the entries in the cost matrix). Specify three outputs to return the indices of unmatched rows and columns.

Five of the columns in C are not matched with any rows.

Assign Taxis to Maximize Profit

Assign taxis to routes such that the profit is maximized.

A taxi company has several ride requests from across the city. The company wants to dispatch its limited number of taxis in a way that makes the most money.

This table shows the estimated taxi fare for each of five ride requests. Only three of the five ride requests can be filled.

Ride 1 Ride 2 Ride 3 Ride 4 Ride 5 Cab A $ 5 . 7 0 $ 6 . 3 0 $ 3 . 1 0 $ 4 . 8 0 $ 3 . 5 0 Cab B $ 5 . 8 0 $ 6 . 4 0 $ 3 . 3 0 $ 4 . 7 0 $ 3 . 2 0 Cab C $ 5 . 7 0 $ 6 . 3 0 $ 3 . 2 0 $ 4 . 9 0 $ 3 . 4 0

Create a profits matrix to represent the profits of each taxi ride.

Use matchpairs to match the taxis to the most profitable rides. Specify three outputs to return any unmatched rows and columns, and the 'max' option to maximize the profits. Specify the cost of unassignment as zero, since the company makes no money from unfilled taxis or ride requests.

matchpairs calculates the most profitable rides to fill. The solution leaves ride requests 3 and 5 unfilled.

Calculate the total profits for the calculated solution. Since costUnmatched is zero, you only need to add together the profits from each match.

Track Point Positions over Time

Use matchpairs to track the movement of several points by minimizing the total changes in distance.

Plot a grid of points at time t = 0 in green. At time t = 1 , some of the points move a small amount in a random direction.

Use matchpairs to match the points at t = 0 with the points at t = 1 . To do this, first calculate a cost matrix where C(i,j) is the Euclidean distance from point i to point j .

Next, use matchpairs to match the rows and columns in the cost matrix. Specify the cost of unassignment as 1. With such a low cost of unassignment relative to the entries in the cost matrix, it is likely matchpairs will leave some points unmatched.

The values M(:,2) correspond to the original points ( x 0 , y 0 ) , while the values M(:,1) correspond to the moved points ( x 1 , y 1 ) .

Plot the matched pairs of points. The points that moved farther than 2*costUnmatched away from the original point remain unmatched.

Input Arguments

Cost — cost matrix matrix.

Cost matrix. Each entry Cost(i,j) specifies the cost of assigning row i to column j .

Data Types: single | double

costUnmatched — Cost of not matching scalar

Cost of not matching, specified as a scalar. matchpairs compares the value of 2*costUnmatched to the entries in Cost to determine whether it is more beneficial for a row or column to remain unmatched. Use this parameter to make matches more or less likely in the algorithm. For more information, see linear assignment problem .

Example: M = matchpairs(C,10) specifies a cost of 10 for not matching a row or column of C .

goal — Optimization goal 'min' (default) | 'max'

Optimization goal, specified as either 'min' or 'max' . The optimization goal specifies whether the total cost should be minimized or maximized.

Example: M = matchpairs(Cost,costUnmatched,'max') specifies that the rows and columns of Cost should be matched together to maximize the total cost.

Output Arguments

M — matches matrix.

Matches, returned as a matrix. M is a p -by- 2 matrix, where M(i,1) and M(i,2) are the row and column indices of a matched pair in the cost matrix. The rows of M are sorted with the second column in ascending order.

Each row and column can be matched a single time only, so each M(i,1) value and each M(i,2) value is unique.

M contains p matches, and p is less than or equal to the maximum number of matches min(size(Cost)) .

The cost of the matches in M is sum([Cost(M(1,1),M(1,2)), Cost(M(2,1),M(2,2)), ..., Cost(M(p,1),M(p,2))]) .

uR — Unassigned rows column vector

Unassigned rows, returned as a column vector of indices. The entries in uR indicate which rows in Cost are unassigned. Each entry in uR and uC contributes to the total cost of the solution according to costUnassigned .

uC — Unassigned columns column vector

Unassigned columns, returned as a column vector of indices. The entries in uC indicate which columns in Cost are unassigned. Each entry in uR and uC contributes to the total cost of the solution according to costUnassigned .

Linear Assignment Problem

The linear assignment problem is a way of assigning rows to columns such that each row is assigned to a column and the total cost of the assignments is minimized (or maximized). The cost of assigning each row to each column is captured in a cost matrix . The entry Cost(i,j) is the cost of assigning row i to column j .

The cost of unassignment assigns a cost to any row or column that is not matched. This practice allows for minimum-cost solutions that do not assign all rows or columns. If a row and column are not matched, this increases the total cost by 2*costUnmatched .

The total cost of a solution M is the sum of the cost of all matched pairs added to the cost of all unmatched pairs:

T C = ∑ i = 1 p Cost ( M ( i , 1 ) , M ( i , 2 ) ) + costUnmatched ⋅ ( m + n − 2 p )

In code the total cost is

Cost is an m -by- n matrix.

M is a p -by- 2 matrix, where M(i,1) and M(i,2) are the row and column of a matched pair.

(m+n-2*p) is the total number of unmatched rows and columns.

[1] Duff, I.S. and J. Koster. "On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix." SIAM J. Matrix Anal. & Appl. 22(4), 2001. pp 973–996.

Extended Capabilities

C/c++ code generation generate c and c++ code using matlab® coder™..

Usage notes and limitations:

Code generation does not support sparse matrix inputs for this function.

Version History

Introduced in R2019a

equilibrate | sprank | dmperm

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Matrix Conditional Assignment

In MATLAB, it is fairly simple to assign to a subset of a matrix, for example, the values that satisfy a given condition. For example, saturation can be obtained as follows:

In Quasar, this can be achieved with:

However, the situation can be more complex and then there is no direct equivalent to MATLAB. For example,

where A , B , C are all matrices. The trick is to define a reduction (now in system.q ):

The first line defines a “general” matrix type, then is then used for the subsequent reductions. The reduction simply works on patterns of the form:

and replaces them by the appropriate Quasar expression. The last two reductions are a trick, to get the conditional assignment also working with boolean expressions, such as:

Note that, on the other hand:

will currently result in a runtime error (this syntax is not defined yet).

Khaksar asked . 2021-08-03

How can i put the conditional statement.

How can i put the conditional statement ( If-Then-else) on the specific elements (Rows/columns) of a matrix in Matlab Using Neural Network Tool? Basically I am working on classification using neural Network tool in matlab. My out put only shows in matrix like : output =

For example: I have two different matrices like: output1 =

%I want to set the ranges of the elements on behalf of some conditions like:

neural network , matrix element ext... , if-then-else condi...conditions of row ... matrix manipulat

Expert answer, prashant kumar answered . 2024-04-21 08:18:54.

PS. The unit sum output is a consistent estimate of the input-conditional posterior class probabilities

Not satisfied with the answer ?? ASK NOW

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MATLAB – Conditional Statements

Conditional statements are something that is very basic and important for every programmer. There will be some situations where a program or a particular block has to be executed only when a specific condition is True . These conditional statements will be very handy and fruitful in such situations. These conditional statements work as same as in other languages. However, syntax varies from language to language. The following are the conditional statements that we can use in MATLAB.

if-else-end
nested-if-end

if-elseif-elseif-else-end

switch case
nested switch case

if-end Statement

An if-end statement is the simplest decision-making statement. It decides whether a particular block of code has to be executed or not, based on the given boolean condition. Only when the given condition is true, it executes the statements inside the block otherwise not.

if (condition) % statement(s) will execute % if the boolean expression is true <statements> end

Output:

if-else-end statement

In conditional if Statement the additional block of code is merged as else statement which is performed when if the condition is false else condition won’t be executed when if the condition is True .

if (condition) % statement(s) will execute % if the boolean expression is true <statement(s)> else <statement(s)> % statement(s) will execute % if the boolean expression is false end

Example 2: You can also chain if-else-end statements with more than one condition.

Nested if-end Statement

There comes some situations where multiple conditions have to be satisfied to execute a block of code then we use nested if-end statements. This is nothing but another if condition(s) inside an if condition.

if (condition) % Executes when the boolean expression 1 is true if (condition) % Executes when the boolean expression 2 is true end end

An if statement can be followed by one (or more) optional elseif and an else statement, which is very useful to test various conditions.

if (condition) % Executes when the expression 1 is true <statement(s)> elseif (condition) % Executes when the boolean expression 2 is true <statement(s)> elseif (condition) % Executes when the boolean expression 3 is true <statement(s)> else % executes when the none of the above condition is true <statement(s)> end

Switch case

A switch block is familiar to if-elif-else-end statements. It works as same as in other languages except for syntax. But there are few key differences between them. A switch block conditionally executes one set of statements from several choices. Each choice is covered by a case statement. A switch expression can be any of the following.

Here comparison of string expressions and case expressions is case-sensitive. Every character of a switch string expression must be matched with the case string expression.

switch (condition) case condition <statements> case (condition) <statements> … … otherwise <statements> end

Example 2:

Nested Switch Case

This is similar to nested if statements. We can use switch as a part of the statement inside a switch. Even if the case constants of the inner and outer switch contain common values, no conflicts will arise.

switch (condition) case (condition) <statements> switch (condition) case (condition) <statements> ….. end case (condition) <statements> end

Example: This example explains how the nested switch case and string comparison works in MATLAB.

Unlike other programming languages, we don’t need to use break statement in switch case.
Unlike other programming languages, we don’t use any kind of parentheses (i.e., (),{},: ) while writing conditions in conditional statements(i.e., if, nested if, etc). We do use end statement to end a conditional statement.
Use semi-colons(;) wherever necessary to avoid unwanted outputs.

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whenever , elseif , else

Execute statements if condition is true

Description

if expression , statements , end evaluates an printed , and executes a group of statements when the expression is true. An expression is true when its result belongs nonempty and contains only nonzero elements (logical either really numeric). Otherwise, to expression is false.

Of elseif and else blocks are optional. The statements execute only for previous expressions in the if...end block are false. An if block can include multiple elseif blocks.

collaps select

Use if, elseif, and else for Conditional Assignment

Create a matrix of 1s.

Loop through this matrix both assign respectively element a new value. Give 2 on the main diagonal, -1 on the nearby diagonals, and 0 everywhere else.

Compare Array

Expressions that include relationships operating over arrays, similar as A > 0 , are true only when every item in one result be nonzero.

Test if any results are correct using the any function.

Examine Arrays for Equality

Compare arrays using isequal tend than the == operator to tests for equality, because == final in an error at the arrays are different sizes.

Create two arrangements.

If size(A) and size(B) are the same, concatenate the arena; other, demonstrate adenine warning and return certain empty array.

Compare Character Vectors

Utilize strcmp in compare symbol vectors. Using == to test for equality results the an error when the chars vectors are different widths.

Tests Values for Inequality

Detect while a value is non-zero. Use the ~= service to test available inequality.

Evaluate Multiple Conditions in Expression

Determine if a value falls within a specified range.

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A expression canned include relational operators (such since < or == ) and logical operators (such as && , || , or ~ ). Use which logical operators additionally and or to create compound expressions. MATLAB ® evaluates mischung expressions from left to right, adhering to driver precedence rules.

At the conditional expression of an if...end block, logical actors & and | behave as short-circuit operators. This behavior is which equivalent more && plus || , respectively. As && and || consistently short-circuit in subject expressions and statements, it is good practice to exercise && and || instead of & and | within the expression. For real,

One first part of the expression valued to falsely. Therefore, MATLAB does not need to evaluate the second piece are the expression, which would result in an indefined function error. How to replace to elements on a die employing the conditions if,else?

You can nest any number of provided statements. Each while statement requires an end keyword.

Avoid adding a space after else within the elseif keyword ( elsewhere if ). The space built a geschachtelt whenever statement that requires its own terminate keyword.

Prolonged Capacity

C/c++ item generation generation c and c++ code using matlab® coder™., hdl user generation engender verilog and vhdl code for fpga and asic designs using hdl coder™..

Does not use one & and | operators within conditions of an if statement. Instead, use the && and || staff.

HDL Coder™ does not support nonscalar form includes the conditions are while statements. Use, use the every or any functions to collapse logical draft into scalars.

Thread-Based Environment Sprint cipher in the background using MATLAB® backgroundPool or quicken cipher with Parallel Computing Toolbox™ ThreadPool .

This function fully props thread-based environments. With extra information, see Run MATLAB Functions in Thread-Based Environment .

Featured before R2006a

See Furthermore

for | while | schalte | return

Operators plus Basic Operations

External Websites

Fundamente of Net (MathWorks Teaching Resources)

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Condition number of matrix

Description

cond( A ) returns the 2 -norm condition number of matrix A .

cond( A , P ) returns the P -norm condition number of matrix A .

collapse all

Compute 2-Norm Condition Number of Matrix

Compute the 2 -norm condition number of the inverse of the 3-by-3 magic square A .

Use vpa to approximate the result.

Compute Different Condition Numbers of Matrix

Compute the 1-norm condition number, the Frobenius condition number, and the infinity condition number of the inverse of the 3-by-3 magic square A .

Approximate these results by using vpa .

Compute Condition Number of Hilbert Matrix

Hilbert matrices are examples of ill-conditioned matrices. Numerically compute the condition numbers of the 3-by-3 Hilbert matrix by using cond and vpa .

Input Arguments

Input, specified as a number, vector, matrix, or array, or a symbolic number, variable, array, function, or expression.

P — Input 2 (default) | number | character vector

One of these values 1 , 2 , inf , or 'fro' .

cond(A,1) returns the 1 -norm condition number.

cond(A,2) or cond(A) returns the 2 -norm condition number.

cond(A,inf) returns the infinity norm condition number.

cond(A,'fro') returns the Frobenius norm condition number.

Condition Number of a Matrix

Condition number of a matrix is the ratio of the largest singular value of that matrix to the smallest singular value. The P -norm condition number of the matrix A is defined as norm(A,P)*norm(inv(A),P) .

Calling cond for a numeric matrix that is not a symbolic object invokes the MATLAB ® cond function.

Version History

Introduced in R2012b

equationsToMatrix | inv | linsolve | norm | rank

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How to Use a Conditional If Statement in MATLAB
Conditional Statements in Matlab Programming, if, if-else, and else if
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Conditional Statements in Matlab Programming, if, if-else, and else if
How to Write IF, ELSE Conditional Statements in MATLAB
Using conditional structures in MATLAB

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COMMENTS

Find Array Elements That Meet a Condition
Replace Values That Meet a Condition. Sometimes it is useful to simultaneously change the values of several existing array elements. Use logical indexing with a simple assignment statement to replace the values in an array that meet a condition. Replace all values in A that are greater than 10 with the number 10.
Matlab conditional assignment
23. One line conditional assignment: a(a > 5) = 2; This is an example of logical indexing, a > 5 is a logical (i.e. Boolean or binary) matrix/array the same size as a with a 1 where ever the expression was true. The left side of the above assignment refers to all the positions in a where a>5 has a 1.
matlab conditioned matrix assignment
i have a question about matrix assignment. say i have three matrices A, B and C, and i want to assign the elements of matrix C to the elements of A and B according to the rule ... matlab; matrix; indexing; conditional-statements; variable-assignment; or ask your own question. The Overflow Blog Diverting more backdoor disasters. Featured on Meta ...
Conditional statements on array.
In case the statement is true, I would like to make the 12 range values equal 1, otherwise equal 0. (Note: the array input dimensions will always be a multiple of 12) The Output on this particular example should look like this: Theme. Copy. Output = [0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1] The first 12 positions are equal to 0 because ...
Matlab conditional assignments
Matlab conditional assignments. Ask Question Asked 11 years, 2 months ago. ... matlab conditioned matrix assignment. 0. Conditional IF/ELSE Statement in Matlab. 0. Conditional Statements - MATLAB. 2. if statement in MatLab environment. 3. Matlab: Condition as argument or variable. 2.
Conditional Statements
For both if and switch, MATLAB ® executes the code corresponding to the first true condition, and then exits the code block. Each conditional statement requires the end keyword.. In general, when you have many possible discrete, known values, switch statements are easier to read than if statements. However, you cannot test for inequality between switch and case values.
PDF Lecture 15 MATLAB II: Conditional Statements and Arrays
•An array is used to store sets of values of same type; each value is stored in an element of the array •A matrix is a two-dimensional array •A vector is a one-dimensional array •Other programming languages mostly work with numbers one at a time, MATLAB® was designed from the ground up to operate primarily on whole matrices and arrays
Conditional function on matrix
Conditional function on matrix. Learn more about conditions, equation, piecewise
Execute statements if condition is true
Use if, elseif, and else for Conditional Assignment. Create a matrix of 1s. Loop through the matrix and assign each element a new value. Assign 2 on the main diagonal, -1 on the adjacent diagonals, and 0 everywhere else. for r = 1:nrows. if r == c. A(r,c) = 2; elseif abs(r-c) == 1. A(r,c) = -1;
Solve linear assignment problem
The linear assignment problem is a way of assigning rows to columns such that each row is assigned to a column and the total cost of the assignments is minimized (or maximized). The cost of assigning each row to each column is captured in a cost matrix.The entry Cost(i,j) is the cost of assigning row i to column j.. The cost of unassignment assigns a cost to any row or column that is not matched.
Matrix Conditional Assignment
In MATLAB, it is fairly simple to assign to a subset of a matrix, for example, the values that satisfy a given condition. For example, saturation can be obtained as follows: A[A < 0] = 0 A[A > 1] = 1. In Quasar, this can be achieved with: A = saturate(A) However, the situation can be more complex and then there is no direct equivalent to MATLAB.
PDF Chapter 4: Programming with MATLAB
Step 1: Create a vector for Time t, use it to calculate the Supply Voltage v_s, and plot v_s versus t. Step 2: Create an if statement that can calculate the Load Voltage for a given Supply Voltage. Test the if statement at the following time values: Step 3: Use a for loop with an if statement to load the Load Voltage.
How can i put the conditional statement
AND. If The 2nd element of the 2nd row of matrix Output1 is >= -0.49 and <=0.49. AND. If The 3rd element of the 3rd row of matrix Output1 is >= -0.49 and <=0.49. THEN. Display = Class1. %for Matrix Output2: I want to set the ranges of the elements on behalf of some conditions like: If The 1st element of the 1st row of matrix Output2 is >= -0.49 ...
Loops and Conditional Statements
Loops and Conditional Statements. Control flow and branching using keywords, such as if , for, and while. Within any program, you can define sections of code that either repeat in a loop or conditionally execute. Loops use a for or while keyword, and conditional statements use if or switch. Additional keywords provide finer control over the ...
MATLAB
MATLAB - Conditional Statements. Conditional statements are something that is very basic and important for every programmer. There will be some situations where a program or a particular block has to be executed only when a specific condition is True. These conditional statements will be very handy and fruitful in such situations.
MATLAB PROGRAM Final Grade Assignment (manipulating
Question: MATLAB PROGRAM Final Grade Assignment (manipulating cell array, conditional assignment) My Solutions Code has already been provided to define a function named gradeCalc that accepts a single single input variable studentScores that is a cell array consisting of the following data in each cell (in order): a character array with a student's last name a vector
Basic Matrix Operations
One area in which MATLAB excels is matrix computation. Creating a matrix is as easy as making a vector, using semicolons (;) to separate the rows of a matrix. A = [1 2 0; 2 5 -1; 4 10 -1] A = 3×3 1 2 0 2 5 -1 4 10 -1 We can easily find the ...
matlab
However, using conditionals with matrices only seems to let you assign a scalar to some elements, not a full matrix. I tried using conditionals to determine which elements are iterated, but using conditionals changes the dimensions of the matrix to a one dimensional array. Zn = Zn.^2+Z; Iter(Iter==0 & (abs(Zn)>10))=m; Here's my full program.
Execute statements if condition is true
A expression canned include relational operators (such since < or ==) and logical operators (such as &&, ||, or ~).Use which logical operators additionally and or to create compound expressions. MATLAB ® evaluates mischung expressions from left to right, adhering to driver precedence rules.. At the conditional expression of an if...end block, logical actors & and | behave as short-circuit ...
Condition number of matrix
Condition number of a matrix is the ratio of the largest singular value of that matrix to the smallest singular value. The P-norm condition number of the matrix A is defined as norm(A,P)*norm(inv(A),P).
Assignment inside condition in MATLAB
0. TL;DR: No. Assignment in Matlab doesn't return a value, so no, it is not possible in a sensible way. Moreover, arguments are passed by value, so you can't just fudge it with a function that does the assignment and returns a value. If you were willing to wrap your assigned variable up in a custom Handle object and pass it to a function then ...

Conditional function on matrix

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Description

Assign Flights with Minimal Cost

Unequal Numbers of Rows and Columns

Assign Taxis to Maximize Profit

Track Point Positions over Time

Input Arguments

costUnmatched — Cost of not matching scalar

goal — Optimization goal 'min' (default) | 'max'

Output Arguments

uR — Unassigned rows column vector

uC — Unassigned columns column vector

Linear Assignment Problem

Extended Capabilities

Version History

MATLAB Command

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Matrix Conditional Assignment

Khaksar asked . 2021-08-03

neural network , matrix element ext... , if-then-else condi...conditions of row ... matrix manipulat

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Classification of Covid and Non-Covid Lungs CT-Scan using Deep Learning with MATLAB

Matlab simulation on Wind Energy system

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MATLAB – Conditional Statements

if-elseif-elseif-else-end

if-end Statement

if-else-end statement

Nested if-end Statement

Switch case

Nested Switch Case

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whenever , elseif , else

Description

Use if, elseif, and else for Conditional Assignment

Compare Array

Examine Arrays for Equality

Compare Character Vectors

Tests Values for Inequality

Evaluate Multiple Conditions in Expression

Prolonged Capacity

Thread-Based Environment Sprint cipher in the background using MATLAB® backgroundPool or quicken cipher with Parallel Computing Toolbox™ ThreadPool .

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External Websites

Opens Example

MATLAB Command

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Compute 2-Norm Condition Number of Matrix

Compute Different Condition Numbers of Matrix

Compute Condition Number of Hilbert Matrix

Input Arguments

P — Input 2 (default) | number | character vector

Condition Number of a Matrix

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MATLAB Command

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