The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem

DOI10.1016/j.cam.2021.113961zbMath1480.65084OpenAlexW4200387541MaRDI QIDQ2068644

Gyurhan H. Nedzhibov

Publication date: 20 January 2022

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.2021.113961

zbMATH Keywords

eigenvalue problemRayleigh quotientPetrov-Galerkin methodprojection methodsFrobenius companion matrixWeierstrass iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of roots of polynomial equations (65H04)

Uses Software

• JDQR
• JDQZ
• Mulprec

Cites Work

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• Krylov--Schur-Type Restarts for the Two-Sided Arnoldi Method
• A new semilocal convergence theorem for the Weierstrass method from data at one point
• A modified Newton method for polynomials
• Some Modified Matrix Eigenvalue Problems
• Matrix theory. Basic results and techniques
• The simultaneous approximation of polynomial roots

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