Computing generalized inverses of a rational matrix and applications

Stanimirović, Predrag S.; Karampetakis, Nicholas P.; Tasić, Milan B.

doi:10.1007/bf02832302

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The Class Of Rational Matrices1

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2009

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Cited by 2 publications

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“…Stanimirovic et al [11]). More precisely, factorizations of rational matrices play an important role in solving many controlrelated computational problems (see Varga [12]).…”

Section: The Class Of Rational Matricesmentioning

confidence: 94%

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EP matrices: computation of the Moore-Penrose inverse via factorizations

Matzakos

Pappas

2009

J. Appl. Math. Comput.

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EP matrices are a wide class of matrices which, among other things, can be characterized through factorizations. In this paper we are using two factorization algorithms in order to compute and factorize the Moore-Penrose inverse of a singular EP matrix. For the implementation of the algorithms we make use of a Computer Algebra System such as Maple. The results given by the proposed algorithms are faster and more accurate than the built-in Maple function in both symbolic and numerical tests, using matrices of different dimensions.

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“…Stanimirovic et al [11]). More precisely, factorizations of rational matrices play an important role in solving many controlrelated computational problems (see Varga [12]).…”

Section: The Class Of Rational Matricesmentioning

confidence: 94%

“…We apply the proposed algorithms on some symbolic examples, such as the class of singular symmetric test matrices S n from Zielke [13] and rational matrices (e.g. Stanimirovic et al [11]). We also present some numerical examples on singular triadiagonal test matrices B n from Zielke [13] and on some random EP matrices.…”

mentioning

confidence: 99%