List questions from nonnegative-matrices

Published on 25 Mar 2026 - 7:47

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Change of basis to a nonnegative matrix

Published on 25 Mar 2026 - 7:43

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Maximum element of Perron vector

Published on 01 Apr 2026 - 11:23

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

Published on 25 Mar 2026 - 7:43

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

Published on 08 Apr 2026 - 18:18

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

Published on 09 Apr 2026 - 1:33

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Nonnegative orthogonal matrices

Published on 13 Apr 2026 - 20:40

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Determinant for the element-wise derivative of a matrix

Published on 25 Mar 2026 - 7:43

186

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

Published on 25 Mar 2026 - 6:00

72

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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 25 Mar 2026 - 6:04

79

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Proof of Perron Frobenius Theorem

Published on 25 Mar 2026 - 6:04

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

Published on 25 Mar 2026 - 6:03

151

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

Published on 25 Mar 2026 - 6:04

129

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

Published on 25 Mar 2026 - 7:43

197

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

Published on 25 Mar 2026 - 6:03

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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