Nonnegative and skew-symmetric perturbations of a matrix with positive inverse
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- by Giuseppe Buffoni PDF
- Math. Comp. 54 (1990), 189-194 Request permission
Abstract:
Let A be a nonsingular matrix with positive inverse and B a non-negative matrix. Let the inverse of $A + vB$ be positive for $0 \leq v < {v^ \ast } < + \infty$ and at least one of its entries be equal to zero for $v = {v^ \ast }$; an algorithm to compute ${v^ \ast }$ is described in this paper. Furthermore, it is shown that if $A + {A^{\text {T}}}$ is positive definite, then the inverse of $A + v(B - {B^{\text {T}}})$ is positive for $0 \leq v < {v^ \ast }$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Math. Comp. 54 (1990), 189-194
- MSC: Primary 65F10; Secondary 15A09, 15A12, 15A48
- DOI: https://doi.org/10.1090/S0025-5718-1990-0995208-2
- MathSciNet review: 995208