| Journal: | Computational & applied mathematics |
| Database: | PERIÓDICA |
| System number: | 000310630 |
| ISSN: | 0101-8205 |
| Authors: | Eberle, María Gabriela1 Maciel, Maria Cristina |
| Institutions: | 1Universidad Nacional del Sur, Departamento de Matemáticas, Bahía Blanca, Buenos Aires. Argentina |
| Year: | 2003 |
| Volumen: | 22 |
| Number: | 1 |
| Pages: | 1-18 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, analítico |
| English abstract | The constrained least-squares n × n-matrix problem where the feasibility set is the subspace of the Toeplitz matrices is analyzed. The general, the upper and lower triangular cases are solved by making use of the singular value decomposition. For the symmetric case, an algorithm based on the alternate projection method is proposed. The implementation does not require the calculation of the eigenvalue of a matrix and still guarantees convergence. Encouraging preliminary results are discussed |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Análisis numérico, Mínimos cuadrados, Matrices, Matriz de Toeplitz, Descomposición singular, Sistemas de ecuaciones |
| Keyword: | Mathematics, Applied mathematics, Numerical analysis, Least squares, Matrices, Toeplitz matrix, Singular value decomposition, Equations systems |
| Full text: | Texto completo (Ver HTML) |
