A modified alternating positive semidefinite splitting preconditioner for block three-by-three saddle point problems

نویسندگان

چکیده

We propose a modified alternating positive semidefinite splitting (MAPSS) preconditioner for solving block three-by-three saddle point problems that arise in linear programming and the finite element discretization of Maxwell equations. Spectral properties MAPSS-preconditioned matrix are discussed analyzed detail. As efficiency MAPSS depends on its parameters, we derive fast effective formulas to compute quasi-optimal values these parameters. Numerical examples show performs better than APSS preconditioner.

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ژورنال

عنوان ژورنال: Electronic Transactions on Numerical Analysis

سال: 2022

ISSN: ['1068-9613', '1097-4067']

DOI: https://doi.org/10.1553/etna_vol58s84