DGMRES and index numerical range of matrices

DOI10.1016/j.cam.2017.12.009zbMath1390.15006OpenAlexW2780346818MaRDI QIDQ1743941

Malihe Safarzadeh, Abbas Salemi

Publication date: 16 April 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.009

zbMATH Keywords

Drazin-inverseDGMRES methodindex numerical rangeindex polynomial numerical hull

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)

Related Items (1)

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Uses Software

• DGMRES

Cites Work

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• Generalizations of the field of values useful in the study of polynomial functions of a matrix
• Complete stagnation of GMRES for normal matrices
• Polynomial numerical hulls of matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
• Numerical Range of Matrix Polynomials
• Minimal Residual Method Stronger than Polynomial Preconditioning
• Approximate solutions and eigenvalue bounds from Krylov subspaces
• Convexity of the Joint Numerical Range
• DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems

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