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

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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.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada/IUMA, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Juan Manuel Peña

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  1. Juan Manuel Peña
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Correspondence to Juan Manuel Peña.

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Communicated by Guest editors Juan Manuel Peña and Rafael Bru.

Research partially supported the Spanish Research Grant MTM2009-07315, Gobierno de Aragón and Fondo Social Europeo.

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Peña, J.M. Diagonal dominance, Schur complements and some classes of H-matrices and P-matrices. Adv Comput Math 35, 357–373 (2011). https://doi.org/10.1007/s10444-010-9160-5

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  • DOI: https://doi.org/10.1007/s10444-010-9160-5

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