Locally X Matrices, Spectral Distributions, Preconditioning, and Applications

DOI10.1137/S0895479898338366zbMath1049.65037OpenAlexW2043762210MaRDI QIDQ4509622

Stefano Serra Capizzano

Publication date: 19 October 2000

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479898338366

zbMATH Keywords

1graphpreconditioningoptimization problemsHermitian positive definite matriceslinear positive operators\((0finite difference and finite element methodssemi-elliptic differential equations-1)\) incidence matrixlocally Toeplitz struturesSzegö-style ergodic formulae

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Numerical mathematical programming methods (65K05) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations ⋮ Stability of the notion of approximating class of sequences and applications ⋮ The conditioning of FD matrix sequences coming from semi-elliptic differential equations ⋮ Banach Spaces of GLT Sequences and Function Spaces ⋮ Numerical behaviour of multigrid methods for symmetric Sinc–Galerkin systems

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