| 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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