Lucas Jódar Sánchez (1987)
Stochastica
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Existence and uniqueness conditions for solving singular initial and two-point boundary value problems for discrete generalized Lyapunov matrix equations and explicit expressions of solutions are given.
R. I. Peluso, G. Piazza (2002)
Bollettino dell'Unione Matematica Italiana
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In this paper we consider the eigenvalue problem for positive definite symmetric matrices. Convergence properties for the zero shift method and the shift Cholesky method both in restoring and in non restoring version are deduced from the convergence properties of triangular matrices sequences. For general matrices we obtain some results on the convergence speed of the Cholesky method as a function of the chosen shift. These results follow from the absolute convergence of numerical...
María Asunción Beitia (1986)
Extracta Mathematicae
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We study in this paper the problem of the n-square matrices X which commute with the given matrix A upon a vector subspace E of F.
Hodges, John H. (1966)
Portugaliae mathematica
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Lakić, Slobodan (1995)
Serdica Mathematical Journal
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In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.
Jack Lee, P. Krishnalah (1980)
Banach Center Publications
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M. Kwapisz (1963)
Colloquium Mathematicae
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