Theory and application of constrained inverse of matrices

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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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.

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Deposited On:30 Mar 2011 12:57
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