When does the inverse have the same sign pattern as the transpose?

Title:

When does the inverse have the same sign pattern as the transpose?

Creator:

Eschenbach, Carolyn A., Hall, Frank J., Harrell, Deborah L., and Li, Zhongshan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3ed5622a-2f21-434f-bc25-93d1bab77035
uuid:3ed5622a-2f21-434f-bc25-93d1bab77035

Subject:

math and sign pattern

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

By a sign pattern (matrix) we mean an array whose entries are from the set $\lbrace +,-,0\rbrace $. The sign patterns $A$ for which every real matrix with sign pattern $A$ has the property that its inverse has sign pattern $A^T$ are characterized. Sign patterns $A$ for which some real matrix with sign pattern $A$ has that property are investigated. Some fundamental results as well as constructions concerning such sign pattern matrices are provided. The relation between these sign patterns and the sign patterns of orthogonal matrices is examined.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

255-275

Source:

Czechoslovak Mathematical Journal | 1999 Volume:49 | Number:2

Harvested from:

CDK

Metadata only:

false