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Evaluating Function at Matrix ?

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Omar B.
Omar B. 2020 年 1 月 26 日
コメント済み: Omar B. 2020 年 1 月 26 日
How can we evaluate the following function at matrix A?

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Walter Roberson
Walter Roberson 2020 年 1 月 26 日
F = @(x) exp(5*pi*(x-0.5)./(7*0.5)) .* (cos(5*pi*(x-0.5)./(7*0.5)) - sin(5*pi*(x-0.5)./(7*0.5)));
A = randn(11,5);
F(A)

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Walter Roberson
Walter Roberson 2020 年 1 月 26 日
The funm((),@sin) is certainly not right as you must pass a matrix as the first argument.
The rest looks doubtful, but I suppose there could be a context under which something like that was appropriate.
Note though that the formula involves x-.5 which involves subtracting .5 from every element of x, not just from the diagonal of x. If you are going to say that represents matrix exponential, then you must assume that it already has any matrix vs scalar corrections applied.
Omar B.
Omar B. 2020 年 1 月 26 日
Thank you so much.

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