# Not all GKK τ-matrices are stable

@article{Holtz1999NotAG,
title={Not all GKK $\tau$-matrices are stable},
author={Olga Holtz},
journal={Linear Algebra and its Applications},
year={1999},
volume={291},
pages={235-244}
}
• Olga Holtz
• Published 15 April 1999
• Mathematics
• Linear Algebra and its Applications
7 Citations

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Spectral properties of sign symmetric matrices are studied.A criterion for sign symmetry of shifted basic circulant permutation matrices is proven, and is then used to answer the question which

### A Bibliography of Publications in Linear Algebra and its Applications: 1980{1989

(AB) = B− mrA − lr [WHG79]. (k) [Cha79]. (k, n) [MT79]. 0 [JGK79]. 0− 1 [HP78]. 2 [Sto79]. 2× 2 [Est79]. 3× 3 [AYP79]. A [Nic79]. AB +BA [Nic79]. AX − Y B = C [BK79a]. AX = B [PM79]. AXC = B [PM79].

### Set-theoretic defining equations of the variety of principal minors of symmetric matrices

The variety of principal minors of $n\times n$ symmetric matrices, denoted $Z_{n}$, is invariant under the action of a group $G\subset \GL(2^{n})$ isomorphic to $\G$. We describe an irreducible

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The subject of Chapter 1 is GKK $\tau$-matrices and related topics. Chapter 2 is devoted to boundedly invertible collections of matrices, with applications to operator norms and spline approximation.

### in Linear Algebra and its Applications : 1990 – 1999

(J.J ′) [?]. (λ,G) [?]. (p, q) [?]. ( AB C0) [?]. (u, i) [?]. ∗ [?, ?]. −1− 2 [?]. 0 [?]. {0, 12 , 1} [?]. 0,±1 [?]. 1 [?, ?, ?, ?]. 2 [?, ?, ?, ?, ?, ?, ?]. 2K [?]. 2× 2 [?, ?, ?, ?, ?, ?]. 3 [?].

### R A ] 5 S ep 2 00 1 Open problems on GKK τ-matrices

• Computer Science
• 2001
Several open problems on GKK τ -matrices raised by examples showing that some such matrices are unstable are proposed.

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