Is there a function that transforms a symmetric matrix into a diagonal of Eigenvalues with transforms on either side?

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Matthew Osborne 2022-7-18

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https://ww2.mathworks.cn/matlabcentral/answers/1762925-is-there-a-function-that-transforms-a-symmetric-matrix-into-a-diagonal-of-eigenvalues-with-transform

评论： Matthew Osborne 2022-7-18

I want a function that transforms a symmetric Matrix A into LDL' but not unit vectors as in the ldl(A) Matlab function but with the diagonal as Eigenvalues and the L matrices as transformation matrices to the new Eigenbasis for the system.

I'm sure this is not difficult or has been done already I just wondered why it wasn't in the help menus.

Thanks,

Matt

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回答（1 个）

Torsten 2022-7-18

在 MATLAB Online 中打开

If this is not what you want, please tell us what you want.

A = [3 7;7 4];
[V,D] = eig(A)
V = 2×2
   -0.7319    0.6815
    0.6815    0.7319
D = 2×2
   -3.5178         0
         0   10.5178
V*D*V.'
ans = 2×2
    3.0000    7.0000
    7.0000    4.0000