| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600906 | Linear Algebra and its Applications | 2012 | 11 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
