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Your search keyword '"Hermitian matrix"' showing total 2 results
Start Over Descriptor "Hermitian matrix" Search Limiters Academic (Peer-Reviewed) Journals Search Limiters Peer Reviewed Publication Year Range This year Journal linear algebra & its applications
2 results on '"Hermitian matrix"'

1. Isotropy groups of the action of orthogonal *congruence on Hermitian matrices.

Author

Starčič, Tadej

Subjects
*TOEPLITZ matrices, *ISOTROPY subgroups, *COMPLEX matrices, *EQUATIONS
Abstract

We present a procedure which enables the computation and the description of structures of isotropy subgroups of the group of complex orthogonal matrices with respect to the action of *congruence on Hermitian matrices. A key ingredient in our proof is an algorithm giving solutions of a certain rectangular block (complex-alternating) upper triangular Toeplitz matrix equation. [ABSTRACT FROM AUTHOR]

Published
2024
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2. The Cayley transform of prevalent matrix classes.

Author

Mondal, Samir, Sivakumar, K.C., and Tsatsomeros, Michael

Subjects
*CAYLEY graphs, *MATRICES (Mathematics)
Abstract

The Cayley transform of a matrix A , C (A) = (I + A) − 1 (I − A) , has been investigated in the contexts of skew-symmetry, eigenvalue mapping and as a factorization technique for several matrix positivity classes. Here, we extend the discussion to Cayley transforms of almost skew-Hermitian matrices, positive definite matrices, semipositive matrices, as well as subclasses of the M -matrices, H -matrices and their inverses. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
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