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How to prove this variation-of-constants formula?

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#matrices #ordinary-differential-equations #matrix-equations #matrix-analysis
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Operator Monotony of composed maps

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#functional-analysis #analysis #operator-theory #matrix-analysis
32
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On estimating $\exp(-iHt)$ when $H$ is perturbed

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#linear-algebra #quantum-mechanics #perturbation-theory #matrix-analysis
80
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Dense subset of $GL(n)$ and existence of elements with some properties.

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#functional-analysis #operator-theory #functional-inequalities #matrix-analysis
36
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Simplifying Summation of Outer Products

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#linear-algebra #matrix-analysis
69
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How to show this matrix limit?

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#limits #matrix-calculus #matrix-analysis
43
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Is the form $P_{1}(P_{1} + P_{2})^{-1}$ a contraction elementwisely where both $P_{1}$ and $P_{2}$ are positive definite

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#matrix-norms #matrix-analysis
26
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The lower bound of operator norm

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#linear-algebra #normed-spaces #matrix-analysis
20
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Generalization of Sylvester's law of inertia to the case of rectangle matrix

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#linear-algebra #matrices #matrix-rank #matrix-analysis
81
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On the logarithm of a matrix

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#linear-algebra #matrices #logarithms #matrix-analysis
31
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Finding the eigenvalues of a tridiagonal block matrix of special form

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#linear-algebra #tensor-products #numerical-linear-algebra #matrix-decomposition #matrix-analysis
23
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Does every positive semidefinite hankel matrix obeys one Vandermonde decomposition?

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#linear-algebra #matrices #matrix-analysis #hankel-matrices
647
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Why Is the $ {L}_{2,1} $ Mixed Norm Non Smooth?

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#matrices #analysis #normed-spaces #matrix-norms #matrix-analysis
1.3k
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Derivative of Schatten $p$-norm

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#matrices #derivatives #matrix-calculus #matrix-norms #matrix-analysis
27.6k
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Why is the matrix norm $||A||_1$ maximum absolute column sum of the matrix?

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#linear-algebra #matrices #normed-spaces #matrix-norms #matrix-analysis

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