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G-matrices
- 1.0367339 - ÚI 2012 RIV US eng J - Journal Article
Fiedler, Miroslav - Hall, F.J.
G-matrices.
Linear Algebra and Its Applications. Roč. 436, č. 3 (2012), s. 731-741. ISSN 0024-3795. E-ISSN 1873-1856
Institutional research plan: CEZ:AV0Z10300504
Keywords : G-matrix * Cauchy matrix * sign pattern matrix * potentially orthogonal sign pattern
Subject RIV: BA - General Mathematics
Impact factor: 0.968, year: 2012
We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D1 and D2 such that (A-1)T=D1AD2. Many special matrices are G-matrices including (generalized) Cauchy matrices and orthogonal matrices. A number of properties of G-matrices are obtained. Sign patterns of G-matrices are also investigated.
Permanent Link: http://hdl.handle.net/11104/0202055
Number of the records: 1