Authors: | Đorđević, Bogdan Dinčić, Nebojša |
Title: | Classification and approximation of solutions to sylvester matrix equation |
Journal: | Filomat |
Volume: | 33 |
Issue: | 13 |
First page: | 4261 |
Last page: | 4280 |
Issue Date: | 1-Jan-2019 |
Rank: | M22 |
ISSN: | 0354-5180 |
DOI: | 10.2298/FIL1913261D |
Abstract: | In this paper we solve Sylvester matrix equation with infinitely-many solutions and conduct their classification. If the conditions for their existence are not met, we provide a way for their approximation by least-squares minimal-norm method. |
Keywords: | Eigenvalues and eigenvectors | Frobenius norm | Jordan normal form | Least-squares solution | Matrix approximations | Matrix spectrum | Minimal-norm solution | Sylvester equation |
Publisher: | Faculty of Sciences and Mathematics, University of Niš |
Project: | Functional analysis, stochastic analysis and applications |
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