Ikramov, Kh. D. On the block analog of the property of diagonal predominance. (Russian) Zbl 0535.65010 Vestn. Mosk. Univ., Ser. XV 1983, No. 4, 52-55 (1983). It is proved that the block diagonal predominance is hereditary in the block Gauss elimination and that the growth of the elements is bounded by \(1+q\), where \(0<q<1\) is the factor of predominance. This allows to reduce the computations in the solution of symmetric indefinite systems solved by the Bunch method and to avoid the permutations in the case of skewsymmetric matrices. Reviewer: Petko Hr. Petkov Cited in 1 ReviewCited in 1 Document MSC: 65F05 Direct numerical methods for linear systems and matrix inversion Keywords:block diagonal predominance; block Gauss elimination; symmetric indefinite systems; Bunch method; skewsymmetric matrices × Cite Format Result Cite Review PDF