Rao, C. Radhakrishna ; Mitra, Sujit Kumar (1973) Theory and application of constrained inverse of matrices SIAM Journal on Applied Mathematics, 24 (4). pp. 473-488. ISSN 0036-1399
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Official URL: http://link.aip.org/link/?SMJMAP/24/473/1
Related URL: http://dx.doi.org/10.1137/0124050
Abstract
The concept of a constrained inverse of a matrix, introduced by Bott and Duffin [1], is extended so as to bring together the various generalized inverses and pseudoinverses studied in literature under a common classification scheme. Applications of this concept are indicated in obtaining restricted solutions of consistent linear equations, E-approximate solutions of inconsistent linear equations, stable values of a quadratic function and generalized least squares analysis of a linear model with a possible singular dispersion matrix.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Society for Industrial and Applied Mathematics. |
| ID Code: | 32051 |
| Deposited On: | 30 Mar 2011 12:57 |
| Last Modified: | 21 Dec 2012 09:27 |
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