Pregled bibliografske jedinice broj: 242956
A Matrix Pair of an Almost Diagonal Skew-symmetric Matrix and a Symmetric Positive definite Matrix
A Matrix Pair of an Almost Diagonal Skew-symmetric Matrix and a Symmetric Positive definite Matrix // Linear Algebra and Its Applications, 195 (1993), 82-117 (međunarodna recenzija, članak, znanstveni)
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Naslov
A Matrix Pair of an Almost Diagonal Skew-symmetric Matrix and a Symmetric Positive definite Matrix
Autori
Hari, Vjeran ; Rhee, H., Noah
Izvornik
Linear Algebra and Its Applications (0024-3795) 195
(1993);
82-117
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Almost diagonal matrices; pair of a skew-symmetric and a positive definite matrix
Sažetak
Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions. If B=I, the identity matrix, the result describes a special structure of a skew-symmetric matrix almost in Murnaghan form. We then briefly discuss how the Paardekooper method for skew-symmetric matrices asymptotically behaves in the presence of multiple eigenvalues.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
