|
Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 4, Pages 815–824
(Mi smj1427)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
A matrix-polynomial structure in a finite-dimensional vector space
Yu. I. Kuznetsov Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
The classical interpretation of a matrix is the representation of an operator in a fixed coordinate system. Another interpretation of a symmetric matrix is the representation of a quadratic form. In this article we propose a new concept by considering the following three objects simultaneously: (i) a strongly nonsingular matrix, (ii) nonfactorable low and upper Hessenberg matrices, and (iii) two systems of special polynomials.
Received: 09.10.1999
Citation:
Yu. I. Kuznetsov, “A matrix-polynomial structure in a finite-dimensional vector space”, Sibirsk. Mat. Zh., 42:4 (2001), 815–824; Siberian Math. J., 42:4 (2001), 685–692
Linking options:
https://www.mathnet.ru/eng/smj1427 https://www.mathnet.ru/eng/smj/v42/i4/p815
|
Statistics & downloads: |
Abstract page: | 259 | Full-text PDF : | 92 |
|