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| HAL : hal-00169588, version 1 |
| arXiv : 0803.2371 |
| Fiche détaillée |  Récupérer au format |
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| Linear algebra for signal processing, A. Bojanczyk and G. Cybenko (Ed.) (1995) 1--16 |
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| Structured matrices and inverses |
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| Pierre Comon 1 |
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| (1995) |
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| A matrix (and any associated linear system) will be referred to as structured if it has a small displacement rank. It is known that the inverse of a structured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also structured, including the Moore-Penrose inverse of rank-deficient matrices. |
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| 1 : | Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) |
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Université de Nice Sophia Antipolis (UNS) – CNRS : UMR7271 |
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| Domaine | : | Informatique/Traitement du signal et de l'image Mathématiques/Analyse numérique Sciences de l'ingénieur/Traitement du signal et de l'image |
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| displacement rank – structured matrix – rang de déplacement – matrice structurée – pseudo-inverse |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00169588, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00169588 | |
| oai:hal.archives-ouvertes.fr:hal-00169588 | |
| Contributeur : Pierre Comon | |
| Soumis le : Samedi 15 Mars 2008, 16:52:42 | |
| Dernière modification le : Mercredi 21 Janvier 2009, 15:43:14 | |
