Simplifying output involving symbolic variables

Question

Aleem Andrew 2021-1-7

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/711003-simplifying-output-involving-symbolic-variables

评论： Star Strider 2021-1-7

The eigenvalue and eigenvector expressions generated by the following code are expressions that are not fully simplified. Can someone please explain how they can be further simplified?

    syms m k g l wp ws
    
    mm = [m 0; 0 m];  
    kms = [ws^2+wp^2 -wp^2; -wp^2 wp^2]
    
    [evec,eval] = eig(kms) 

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Answer 1

Star Strider 2021-1-7

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/711003-simplifying-output-involving-symbolic-variables#answer_592983

在 MATLAB Online 中打开

Try this:

evec = simplify(evec, 'Steps',500)
eval = simplify(eval, 'Steps',500)

producing:

evec =
[((4*wp^4 + ws^4)^(1/2) - ws^2)/(2*wp^2), -((4*wp^4 + ws^4)^(1/2) + ws^2)/(2*wp^2)]
[                                      1,                                        1]
 
eval =
[wp^2 - (4*wp^4 + ws^4)^(1/2)/2 + ws^2/2,                                       0]
[                                      0, (4*wp^4 + ws^4)^(1/2)/2 + wp^2 + ws^2/2]

or:

.