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A dimension expanded preconditioning technique for block two-by-two linear equations

Luo Wei-Hua, Carpentieri Bruno, Guo Jun

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20230260

In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a feasible implementation is discussed. Some numerical examples, including the solution of the Navier-Stokes equations, are presented to support the theoretical findings and demonstrate the preconditioner’s efficiency.