A polynomial time spectra decomposition test for certain classes of inverse M-matrices.
Stuart, Jeffrey L. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “Some remarks on numerical solution of linear problems”
A polynomial time spectra decomposition test for certain classes of inverse M-matrices.
On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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Block distance matrices.
Balaji, R., Bapat, R.B. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Block diagonalization
Jaromír J. Koliha (2001)
Mathematica Bohemica
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We study block diagonalization of matrices induced by resolutions of the unit matrix into the sum of idempotent matrices. We show that the block diagonal matrices have disjoint spectra if and only if each idempotent matrix in the inducing resolution double commutes with the given matrix. Applications include a new characterization of an eigenprojection and of the Drazin inverse of a given matrix.
On general matrices having the Perron-Frobenius property.
Elhashash, Abed, Szyld, Daniel B. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On the use of some properties of Leontieff's matrices in their inversion
Markéta Nováková (1970)
Aplikace matematiky
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In this paper a combination of methods for inverting Leontieff's matrices is described. The main part of the paper is paragraph 4 where a new method for inverting quasitriangular matrices is derived.