Exponentiation of Matrix Columns by different Powers

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John
John 2015-7-6
回答： James Tursa 2015-7-6
Given an MxN matrix A and a 1xN vector b, is there a concise way to raise each column of A to a corresponding power of the vector b? For example, if N = 4, the resulting matrix C would be computed as:
C = [A(:,1)^b(1) A(:,2)^b(2) A(:,3)^b(3) A(:,4)^b(4)];
However, when N becomes large, explicitly writing this formula is not feasible. Is there a way to write this without the use of a loop? Thank you for any feedback.

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采纳的回答

Brendan Hamm
Brendan Hamm 2015-7-6
repmat can be used to create a matrix bExp of the same size as A where the rows are repeated.
bExp = repmat(b,size(A,1),1); % Expand b to be the size of A (assuming width are same)
C = A.^bExp;

更多回答（1 个）

James Tursa
James Tursa 2015-7-6
C = bsxfun(@power,A,b);

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