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A Block Generalization of Nekrasov Matrices.
- Source :
-
Journal of Mathematical Sciences . Jun2021, Vol. 255 Issue 3, p303-314. 12p. - Publication Year :
- 2021
-
Abstract
- The paper introduces the so-called generalized Nekrasov (GN) matrices, which provide a block extension of the ordinary Nekrasov matrices. Basic properties of GN matrices are studied. In particular, it is proved that the GN matrices form a subclass of nonsingular H-matrices and this subclass is closed with respect to Schur complements obtained by eliminating leading principal block submatrices. Also an upper bound for the l∞-norm of the inverse to a GN matrix, which generalizes the known bound for Nekrasov matrices, is obtained. The case of block two-by-two GN matrices with scalar first diagonal blocks, which prove to be Dashnic–Zusmanovich matrices of the first type, is considered separately. The bounds obtained are applied to SDD matrices. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATRICES (Mathematics)
*SCHUR complement
*MATRIX inversion
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 255
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 150151618
- Full Text :
- https://doi.org/10.1007/s10958-021-05373-8