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- W4229455871 abstract "The paper continues the study of block generalizations of Nekrasov matrices and introduces two new classes of the so-called $$ tilde{G}N $$ and BJN matrices and compares them with the previously introduced class of GN matrices. Different properties of $$ tilde{G}N $$ and BJN matrices are established. In particular, it is proved that the classes $$ left{tilde{G}Nright} $$ and {BJN} are closed with respect to Schur complements and monotone with respect to block partitioning. Also upper bounds for the norms ‖A−1‖∞ of inverses of GN, $$ tilde{G}N $$ , and BJN matrices A are considered. General results obtained are specialized to the case of block two-by-two matrices with scalar first diagonal block." @default.
- W4229455871 created "2022-05-11" @default.
- W4229455871 creator A5047639243 @default.
- W4229455871 date "2022-05-10" @default.
- W4229455871 modified "2023-09-25" @default.
- W4229455871 title "Further Block Generalizations of Nekrasov Matrices" @default.
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- W4229455871 doi "https://doi.org/10.1007/s10958-022-05799-8" @default.
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