在MATLAB中从矩阵数组创建对角矩阵 [英] Creating diagonal matrix from array of matrices in MATLAB

问题描述

我对如何从矩阵数组中创建对角矩阵感兴趣. 我在MATLAB中创建了一个矩阵数组:

I am interested how to create a diagonal matrix from an array of matrices. I created an array of matrices in MATLAB:

X<62x62x1000>它由1000个矩阵组成，尺寸为62x62

X<62x62x1000> it consists of 1000 matrices with dimensions 62x62

我想创建一个尺寸为62000x62000的矩阵，其中包含数组X沿主对角线的1000个子矩阵.

I want to create a matrix of dimensions 62000x62000 with 1000 sub matrices from array X along main diagonal.

除了M=blkdiag(X(:,:,1), X(:,:,2), X(:,:,3)...)之外，您是否有其他任何用法的线索，因为这可能要花很多篇幅.

Do you have any clue how to do this, except M=blkdiag(X(:,:,1), X(:,:,2), X(:,:,3)...) because that would be to much writing.

推荐答案

可能的解决方案

M = kron(speye(1000),ones(62));
M(logical(M)) = X(:);

使用kron创建一个62000 * 62000稀疏矩阵M，该稀疏矩阵的对角线包含1000个1的块，然后将其替换为X的元素.

With kron a 62000*62000 sparse matrix M is created that contains 1000 blocks of ones on its diagonal, then replace ones with elements of X.

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