New iterative methods for solution of the eigenproblem

DOI10.1007/BF02162089zbMath0202.43502OpenAlexW1997862149MaRDI QIDQ2541094

Roger Fletcher, W. W. Bradbury

Publication date: 1966

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131745

Related Items (28)

A truncated-CG style method for symmetric generalized eigenvalue problems ⋮ Unnamed Item ⋮ A minimization method for the solution of large symmetriric eigenproblems ⋮ CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS ⋮ An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices ⋮ A partial preconditioned conjugate gradient method for large eigenproblems ⋮ Some algorithms for the solution of the symmetric eigenvalue problem on a multiprocessor electronic computer ⋮ Computation of minimum eigenvalue through minimization of rayleigh's quotient for large sparse matrices using vector computer: ⋮ On conjugate gradient-like methods for eigen-like problems ⋮ The method of coordinate overrelaxation for \((A-\lambda B)x = 0\) ⋮ On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems ⋮ Computational methods of linear algebra ⋮ Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx ⋮ 𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices ⋮ The method of conjugate gradients used in inverse iteration ⋮ Localized spectrum slicing ⋮ On Chebyshev-Davidson method for symmetric generalized eigenvalue problems ⋮ Computing several eigenpairs of Hermitian problems by conjugate gradient iterations ⋮ Residual algorithm for large-scale positive definite generalized eigenvalue problems ⋮ A note on harmonic Ritz values and their reciprocals ⋮ The eigenvalue problem \((A-\lambda B)x = 0\) for symmetric matrices of high order ⋮ A gradient method for the matrix eigenvalue problem \(Ax = \lambda Bx\) ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3926873 Simultane Iterationsverfahren f�r gro�e allgemeine Eigenwertprobleme] ⋮ 3-D nested eigenanalysis on finite element grids ⋮ Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems ⋮ A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient ⋮ A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems ⋮ Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients

Cites Work

• Variable Metric Method for Minimization
• A Rapidly Convergent Descent Method for Minimization
• Function minimization by conjugate gradients
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New iterative methods for solution of the eigenproblem