A complete congruent class of Kraus matrices
Abstract
Let p0, p1 0 and inertia of the matrix Kr is same as that of inertia of the matrix L−r, when r≤0. In this paper, a congruence relation has been established between these matrix families using an upper triangular matrix. Motivated from this, a general characterization for symmetric matrices to be congruent using upper triangular matrix has been provided.
Fields of Study & Subjects
Matrix Theory and Algorithms
Rings
Modules
and Algebras
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Volume
- 74
- Issue
- 3
- Pages
- 276–293
- Publication date
- 15 January 2026
- Language
- EN