Sign-nonsingular matrices and orthogonal sign-patterns (Q2715963)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Sign-nonsingular matrices and orthogonal sign-patterns |
scientific article; zbMATH DE number 1600934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sign-nonsingular matrices and orthogonal sign-patterns |
scientific article; zbMATH DE number 1600934 |
Statements
30 May 2001
0 references
orthogonal matrix
0 references
sign pattern
0 references
nonsingular matrix
0 references
0.9542626
0 references
0.9504111
0 references
0.9471266
0 references
0.9415133
0 references
0 references
0.9289037
0 references
0 references
0.92821026
0 references
0.9245877
0 references
Sign-nonsingular matrices and orthogonal sign-patterns (English)
0 references
A sign-pattern of a (real) matrix \(A\) is the \((0,+1,-1)\)-matrix that is obtained from \(A\) in such a way that positive entries are replaced by \(1\), and negative entries by \(-1\). A square sign-pattern is said to be sign-nonsingular if any matrix with this sign-pattern is non-singular. The authors characterize the sign-nonsingular sign-patterns that can be realized by an orthogonal matrix. There are two such basic sign-patterns (of orders \(2\) and \(4\)), and the other ones can be obtained by a recursive construction. NEWLINENEWLINENEWLINE(Pages 294 and 295 are swapped).
0 references
