List questions from nonnegative-matrices

Published on 01 Feb 2024 - 14:50

27

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Change of basis to a nonnegative matrix

Published on 11 Feb 2024 - 16:25

276

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Maximum element of Perron vector

Published on 16 Feb 2015 - 20:58

3k

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How to tell if a directed graph is acyclic from the adjacency matrix?

Published on 17 May 2013 - 21:18

1.5k

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An orthogonal matrix with non-negative entries is a permutation matrix

Published on 07 Mar 2026 - 3:59

3.2k

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How to convert any non-negative matrix into a doubly stochastic matrix?

Published on 07 Aug 2012 - 14:46

1.3k

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Nonnegative orthogonal matrices

Published on 06 Mar 2013 - 12:27

99

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Determinant for the element-wise derivative of a matrix

Published on 24 Sep 2020 - 9:45

185

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Conditions under which a row-stochastic Markov matrix has positive eigenvalues

Published on 03 Dec 2020 - 14:30

71

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Does there exist a singular $3\times3$ stochastic matrix $A$ such that $a_{ii}>\max(a_{ij},a_{ji})$ for all $i\ne j$?

Published on 05 Dec 2020 - 2:48

78

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Proof of Perron Frobenius Theorem

Published on 11 Dec 2020 - 7:13

44

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A non-negative matrix $A$ has an inverse if and only if $A>0$?

Published on 03 Mar 2021 - 20:11

150

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How to prove that for any matrix $A$, $A^{T}A$ and $AA^T$ are non negative?

Published on 09 Mar 2021 - 23:04

128

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Why doesn't the inverse of this matrix always exist?

Published on 10 Mar 2021 - 2:27

196

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If A and B are Hermitian Matrices, $\text{tr}(ABAB) \geq 0$.

Published on 15 Mar 2021 - 14:52

List Question

Sparse NMF multiplicative update rules with zero-rows in coefficient matrix

Change of basis to a nonnegative matrix

Maximum element of Perron vector

How to tell if a directed graph is acyclic from the adjacency matrix?

An orthogonal matrix with non-negative entries is a permutation matrix

How to convert any non-negative matrix into a doubly stochastic matrix?

Nonnegative orthogonal matrices

Determinant for the element-wise derivative of a matrix

Conditions under which a row-stochastic Markov matrix has positive eigenvalues

Does there exist a singular $3\times3$ stochastic matrix $A$ such that $a_{ii}>\max(a_{ij},a_{ji})$ for all $i\ne j$?

Proof of Perron Frobenius Theorem

A non-negative matrix $A$ has an inverse if and only if $A>0$?

How to prove that for any matrix $A$, $A^{T}A$ and $AA^T$ are non negative?

Why doesn't the inverse of this matrix always exist?

If A and B are Hermitian Matrices, $\text{tr}(ABAB) \geq 0$.

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