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Results tagged with matrices
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user 167252
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
2
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Inverse M-matrices structure
I am trying to figure out the structure of an M-matrix (https://en.wikipedia.org/wiki/M-matrix) whose inverse has a special form: Let $A$ be an inverse M-matrix (inverse M-matrices are those matrices whose …
- 154
0
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Accepted
Inverse M-matrices structure
I got 2 counter-examples:
Let $A= \begin{pmatrix}1.1 & 0.89\\0.89 & 1.1 \end{pmatrix}$, then $A^{-1}=\begin{pmatrix} 2.6322 &-2.1297\\-2.1297 & 2.6322 \end{pmatrix}$.
Here $x=0.8, y=0.9$, so, $(0 …
- 154
-1
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1
answer
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$A\geq B\Rightarrow A^{-1}\leq B^{-1}$ entrywise for pos.def. symmetric matrices?
Suppose we assume that $A$ and $B$ are two positive definite matrices with positive entries and $A\geq B $ entry wise.
Can we say that $A^{-1}\leq B^{-1}$ entry wise? …
- 154