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The study of the properties of real and complex matrices that are more close to analysis and operator theory. For instance: the properties of positive definite matrices, matrix inequalities, perturbation analysis, matrix functions, inequalities between eigenvectors and singular values, majorization.

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Derivative of pseudoinverse with respect to original matrix

I have been trying to find an analytical expression for the following: $\frac{\partial {X^{+}}}{\partial {X}}$ In my case, $X$ has a constant rank. I've found the formula for differentiating a pseud …
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