Asked by MathWorks Support Team
on 7 Oct 2009

The 'find' command only returns the indices of all the non-zero elements of a matrix. I would like to know how to find the indices of just the maximum (or minimum) value.

Answer by MathWorks Support Team
on 14 Mar 2019

Edited by MathWorks Support Team
on 14 Mar 2019

Accepted Answer

The "min" and "max" functions in MATLAB return the index of the minimum and maximum values, respectively, as an optional second output argument.

For example, the following code produces a row vector 'M' that contains the maximum value of each column of 'A', which is 3 for the first column and 4 for the second column. Additionally, 'I' is a row vector containing the row positions of 3 and 4, which are 2 and 2, since the maximums for both columns lie in the second row.

A = [1 2; 3 4];

[M,I] = max(A)

For more information on the 'min' and 'max' functions, see the documentation pages listed below:

To find the indices of all the locations where the maximum value (of the whole matrix) appears, you can use the "find" function.

maximum = max(max(A));

[x,y]=find(A==maximum)

Answer by Shakir Kapra
on 20 Apr 2015

Edited by Shakir Kapra
on 20 Apr 2015

[M,I] = min(A)

where M - is the min value

and I - is index of the minimum value

Similarly it works for the max

Answer by ANKUR KUMAR
on 19 Sep 2017

Use this as a function and type [x,y]=minmat(A) to get the location of the minimum of matrix. for example:

>> A=magic(5)

>> [a,b]=minmat(A)

a =

1

b =

3

Save this as a function in your base folder and use it.

function [ a,b ] = minmat( c )

as=size(c);

total_ele=numel(c);

[~,I]=min(c(:));

r=rem(I,as(1));

a=r;

b=((I-a)/as(1))+1;

if a==0

a=as(1);

b=b-1;

else

a=r;

b=b;

end

end

Jia Li
on 9 Apr 2018

Thanks! It worked very well.

amin nazari
on 17 Jul 2019

Thanks. very usefull

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Answer by Roos
on 10 May 2018

Edited by Roos
on 10 May 2018

https://www.mathworks.com/matlabcentral/answers/100813-how-do-i-find-the-indices-of-the-maximum-or-minimum-value-of-my-matrix#answer_282157

This apparently solved your question, however for future reference I would like to mention that there is an earier solution that does not involve declaring a function.

Lets continue with any matrix A. The first step is finding the minimum value of the complete matrix with:

minimum=min(min(A));

The double min is needed to first find min of all columns, then find min of all those min values. (there might be an easier way for this as well).

Finding the indices of this value can be done like this:

[x,y]=find(A=minimum);

2 lines will be easier than a complete function.

Erica Kiderman
on 15 May 2018

Thank you for your feedback. The answer above has been corrected to address your comments.

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Answer by Andrew Teixeira
on 1 Oct 2019 at 13:45

How about just:

A = magic(5);

[Amins, idx] = min(A);

[Amin, Aj] = min(Amins);

Ai = idx(Aj);

where your final matrix minima is located at [Ai, Aj]

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Answer by Konstantinos Fragkakis
on 27 Aug 2018

Edited by Konstantinos Fragkakis
on 27 Aug 2018

Function to calculate the minimum value and its indices, in a multidimensional array - In order to find the max, just replace the min(array(:)) statement with max(array(:)).

function [ minimum,index ] = minmat( array )

% Function: Calculate the minimum value and its indices in a multidimensional array

% -------- Logic description --------

% First of all, identify the Matlab convention for numbering the elements of a multi-dimensional array.

% First are all the elements for the first dimension

% Then the ones for the second and so on

% In each iteration, divide the number that identifies the minimum with the dimension under investigation

% The remainder is the Index for this dimension (check for special cases below)

% The integer is the "New number" that identifies the minimum, to be used for the next loop

% Repeat the steps as many times as the number of dimensions (e.g for a 2-by-3-by-4-by-5 table, repeat 4 times)

neldim = size(array); % Length of each dimension

ndim = length(neldim); % Number of dimensions

[minimum,I] = min(array(:));

remaining = 1; % Counter to evaluate the end of dimensions

index = []; % Initialize index

while remaining~=ndim+1 % Break after the loop for the last dimension has been evaluated

% Divide the integer with the the value of each dimension --> Identify at which group the integer belongs

r = rem(I,neldim(remaining)); % The remainder identifies the index for the dimension under evaluation

int = fix(I/neldim(remaining)); % The integer is the number that has to be used for the next iteration

if r == 0 % Compensate for being the last element of a "group" --> It index is equal to the dimension under evaluation

new_index = neldim(remaining);

else % Compensate for the number of group --> Increase by 1 (e.g if remainder 8/3 = 2 and integer = 2, it means that you are at the 2+1 group in the 2nd position)

int = int+1;

new_index = r;

end

I = int; % Adjust the new number for the division. This is the group th

index = [index new_index]; % Append the current index at the end

remaining = remaining + 1;

end

end

Ammaa AlSada
on 15 Dec 2018

find the min(or max) of the 2nd row of an unkown matrix?

how to solve it

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Answer by Juanith HL
on 8 Oct 2019 at 16:24

A = [8 2 4; 7 3 9]

[M,I] = max(A(:)) %I is the index maximun Here tu can change the function to max or min

[I_row, I_col] = ind2sub(size(A),I) %I_row is the row index and I_col is the column index

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