Results 61 to 70 of about 232 (79)

On the reduction of a matrix to triangular or diagonal form by consimilarity

open access: closedSIAM Journal on Algebraic Discrete Methods, 1986
The authors consider the transformation \(A\to SA\bar S^{-1}\) where S is nonsingular. They give a motivation for such an equivalence relation and then study the extent to which a diagonal or triangular canonical form can be obtained. This leads to natural analogs of spectral theory both for general S and for unitary S.
Yoopyo Hong, R. Horn
semanticscholar   +4 more sources

An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sitao Ling, Xuehan Cheng, T. Jiang
semanticscholar   +3 more sources

Matrix Functions Consimilar to the Identity and Singular Integral Operators

open access: closedComplex Analysis and Operator Theory, 2008
In this paper we establish the connection between singular integral operators with conjugation and matrix functions consimilar to the identity. We show that any matrix function consimilar to the identity is factorable (in some space L p ) if and only if it admits a special factorization, that we call antisymmetric, and that this antisymmetric ...
Viktor G. Kravchenko   +2 more
openalex   +2 more sources

Consimilarity of quaternions and coneigenvalues of quaternion matrices

open access: closedApplied Mathematics and Computation, 2015
Sitao Ling, Xuehan Cheng, T. Jiang
semanticscholar   +2 more sources

An algorithm for solution of the Sylvester s‐conjugate linear equation for the commutative elliptic octonions

Mathematical methods in the applied sciences, 2023
In this study, firstly, algebraic properties for commutative elliptic octonions are studied. Then the definition and theorems related to similarity, consimilarity, semisimilarity, and consemisimilarity are given.
Arzu Sürekçi, Mehmet Ali Güngör
semanticscholar   +1 more source

Home - About - Disclaimer - Privacy