Numerical solution of the matrix equations AX + X T B = C and X + AX T B = C with rectangular coefficients A and B

Author: Vorontsov Yu.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.191, Iss.1, 2013-05, pp. : 28-30

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Abstract

It is shown how one should supplement the orthogonal algorithms previously proposed by the authors for the equations in the title of the article with square matrix coefficients for these algorithms to be applicable to equations with rectangular coefficients, provided that the latter satisfy conditions of unique solvability. Bibliography: 3 titles.