The matrix sign function
A survey of the matrix sign function is presented including some historical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures, Applications to areas such as control theory, eigendecompositions, and roots of matrices...
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| Veröffentlicht in: | IEEE transactions on automatic control 1995-08, Vol.40 (8), p.1330-1348 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| container_end_page | 1348 |
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| container_issue | 8 |
| container_start_page | 1330 |
| container_title | IEEE transactions on automatic control |
| container_volume | 40 |
| creator | Kenney, C.S. Laub, A.J. |
| description | A survey of the matrix sign function is presented including some historical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures, Applications to areas such as control theory, eigendecompositions, and roots of matrices are outlined, and some new theoretical results are also given.< > |
| doi_str_mv | 10.1109/9.402226 |
| format | Article |
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| identifier | ISSN: 0018-9286 |
| ispartof | IEEE transactions on automatic control, 1995-08, Vol.40 (8), p.1330-1348 |
| issn | 0018-9286 1558-2523 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_3667564 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Approximation methods Associate members Computer science control theory systems Control theory Control theory. Systems Eigenvalues and eigenfunctions Estimation theory Exact sciences and technology Matrix decomposition Reduced order systems Riccati equations System theory Writing |
| title | The matrix sign function |
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