2,180 research outputs found
Convergence of infinite products of matrices and inner-outer iteration schemes
No full textElsner L, Bru R, Neumann MM. Convergence of infinite products of matrices and inner-outer iteration schemes. Electronic Transactions on Numerical Analysis. 1994;2:183-193
Minimizing the condition number of a positive definite matrix by completion
No full textElsner L, He C, Mehrmann V. Minimizing the condition number of a positive definite matrix by completion. Numerische Mathematik. 1994;69(1):17-23.We consider the problem of minimizing the spectral condition number of a positive definite matrix by completion: [GRAPHICS] where A is an n x n Hermitian positive definite matrix, B a p x n matrix and X is a free p x p Hermitian matrix. We reduce this problem to an optimization problem for a convex function in one variable. Using the minimal solution of this problem we characterize the complete set of matrices that give the minimum condition number
Convergence of sequential and asynchronous nonlinear paracontractions
No full textElsner L, Koltracht I, Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik. 1992;62(1):305-319.We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented
A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem
No full textElsner L. A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem. Numerische Mathematik. 1973;21(5):425-427.By using Gershgorin's theorem and the theorems on minimal Gershgorin disks a posteriori error bounds for the zeros of a polynomial are deduced, from which the bounds given in [1] by Braess and Hadeler are easily obtained
On the variation of the spectra of matrices
No full textElsner L. On the variation of the spectra of matrices. Linear algebra and its applications. 1982;47(Oct):127-138
On matrices leaving invariant a nontrivial convex set
No full textElsner L. On matrices leaving invariant a nontrivial convex set. Linear algebra and its applications. 1982;42:103-107
A note on the variation of permanents
No full textElsner L. A note on the variation of permanents. Linear algebra and its applications. 1988;109:37-39
Bemerkungen zum Zeilensummenkriterium
No full textElsner L. Bemerkungen zum Zeilensummenkriterium. Zeitschrift für angewandte Mathematik und Mechanik. 1969;49(1-2):97
On convexity properties of the spectral radius of nonnegative matrices
No full textElsner L. On convexity properties of the spectral radius of nonnegative matrices. Linear algebra and its applications. 1984;61(Sept):31-35
An optimal bound for the spectral variation of two matrices
No full textElsner L. An optimal bound for the spectral variation of two matrices. Linear algebra and its applications. 1985;71(Nov):77-80
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