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Results tagged with matrix-analysis
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user 12134
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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Why $ \langle \mathcal{R}_{\Omega}\,X\,,\mathcal{R}_{\Omega}\,X\rangle \ge \langle X\,,\math...
Let $\{w_{a}\}_{a=1}^{n^2}$ be an orthonormal basis for a matrix. Assume we pick $m$ elements of this basis uniformly at random. $\Omega$ denotes the set of randomly chosen basis. With that, in matrix …
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Why $ \langle \mathcal{R}_{\Omega}\,X\,,\mathcal{R}_{\Omega}\,X\rangle \ge \langle X\,,\math...
Since I figured this out, I thought I will share it in case somebody runs into the same thing. For an orthonormal basis, this turns out to be actually easy. For general operator basis, things are deli …
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