Diagonal dominance, Schur complements and some classes of H-matrices and P-matrices

Authors:
Juan Manuel Peña
Affiliations:
Departamento de Matemática Aplicada/IUMA, Universidad de Zaragoza, Zaragoza, Spain 50009
Venue:
Advances in Computational Mathematics
Year:
2011

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Abstract

We analyze a class of matrices generalizing strictly diagonally dominant matrices and included in the important class of H-matrices. Adequate pivoting strategies and the corresponding Schur complements are studied. A new class of matrices with all their principal minors positive is presented.