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Description
The present monograph on matrix partial orders, the first on this topic, makes a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and applied scientists for their wide-ranging application potential. Except for the Löwner order, the partial orders considered are relatively new and came into being in the late 1970s. After a detailed introduction to generalized inverses and decompositions, the three basic partial orders -- namely, the minus, the sharp and the star -- and the corresponding one-sided orders are presented using various generalized inverses. The authors then give a unified theory of all these partial orders as well as study the parallel sums and shorted matrices, the latter being studied at great length. Partial orders of modified matrices are a new addition. Finally, applications are given in statistics and electrical network theory.∗Deceased
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 464
- Langue:
- Anglais
- Collection :
- Tome:
- n° 10
Caractéristiques
- EAN:
- 9789812838445
- Date de parution :
- 30-05-10
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 155 mm x 229 mm
- Poids :
- 793 g
