On Schur's complement
نویسندگان
چکیده
منابع مشابه
Revisiting Schurs bound on the largest singular value
We give upper and lower bounds on the largest singular value of a matrix using analogues to walks in graphs. For nonnegative matrices these bounds are asymptotically tight. In particular, the following result improves a bound due to Schur. If A = (aij) is an m n complex matrix, its largest singular value satis es 2 (A) max i2[m] P j2[n] jaij j cj max aij 6=0 ricj ; where ri = P k2[n] jaikj ; cj...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1973
ISSN: 0097-3165
DOI: 10.1016/0097-3165(73)90008-3