Nonnegative and skew-symmetric perturbations of a matrix with positive inverse
نویسندگان
چکیده
منابع مشابه
Nonnegative and Skew-symmetric Perturbations of a Matrix with Positive Inverse
Let A be a nonsingular matrix with positive inverse and B a nonnegative matrix. Let the inverse of A + vB be positive for 0 < v < v < +00 and at least one of its entries be equal to zero for v = v* ; an algorithm to compute v* is described in this paper. Furthermore, it is shown that if A + A is positive definite, then the inverse of A + v (BB ) is positive for 0 < v < v* .
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1990
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1990-0995208-2