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Computation of eigenvalues and eigenvectors

https://doi.org/10.1007/bfb0116617
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nme.1620060207openalex-snapshot
Solution methods for eigenvalue problems in structural mechanics
inferredcites →https://doi.org/10.1007/978-3-0348-5518-1_9openalex-snapshot
Iterative Eigenvalue Algorithms for Large Symmetric Matrices
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Handbook for Automatic Computation
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An analytic storage allocation model
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On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I
inferredcites →https://doi.org/10.1007/bf01436617openalex-snapshot
A gradient method for the matrix eigenvalue problemAx=?Bx
inferredcites →https://doi.org/10.1007/bf01934122openalex-snapshot
Solving linear least squares problems by Gram-Schmidt orthogonalization
inferredcites →https://doi.org/10.1007/bf02162089openalex-snapshot
New iterative methods for solution of the eigenproblem
inferredcites →https://doi.org/10.1007/bfb0120698openalex-snapshot
The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices
inferredcites →https://doi.org/10.1016/0021-9991(73)90149-6openalex-snapshot
The iterative calculation of several of the lowest or highest eigenvalues and corresponding eigenvectors of very large symmetric matrices
inferredcites →https://doi.org/10.1016/0021-9991(75)90119-9openalex-snapshot
Iterative eigenvalue algorithms based on convergent splittings
inferredcites →https://doi.org/10.1016/0022-460x(71)90692-4openalex-snapshot
The computational efficiency of a new minimization algorithm for eigenvalue analysis
inferredcites →https://doi.org/10.1016/0022-460x(72)90614-1openalex-snapshot
Optimal gradient minimization scheme for finite element eigenproblems
inferredcites →https://doi.org/10.1016/0045-7825(74)90039-5openalex-snapshot
The eigenvalue problem for symmetric matrices of high order
inferredcites →https://doi.org/10.1016/0045-7949(71)90035-6openalex-snapshot
The eigenvalue problem for banded matrices
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50012-xopenalex-snapshot
A BIBLIOGRAPHICAL TOUR OF THE LARGE, SPARSE GENERALIZED EIGENVALUE PROBLEM
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50013-1openalex-snapshot
HOW FAR SHOULD YOU GO WITH THE LANCZOS PROCESS?††The authors are pleased to acknowledge partial support from Office of Naval Research Contract N00014-69-A-0200-1017.
inferredcites →https://doi.org/10.1016/b978-0-12-141050-6.50029-5openalex-snapshot
CALCULATION OF NORMAL MODES OF OCEANS USING A LANCZOS METHOD
inferredcites →https://doi.org/10.1016/c2013-0-10439-4openalex-snapshot
Sparse Matrix Computations
inferredcites →https://doi.org/10.1016/c2013-0-11733-3openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0378378-xopenalex-snapshot
𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices
inferredcites →https://doi.org/10.1093/imamat/10.3.373openalex-snapshot
Computational Variants of the Lanczos Method for the Eigenproblem
inferredcites →https://doi.org/10.1093/imamat/15.2.217openalex-snapshot
On the Reduction of Sparse Matrices to Condensed Forms by Similarity Transformations
inferredcites →https://doi.org/10.1112/jlms/s1-40.1.378bopenalex-snapshot
THE THEORY OF MATRICES IN NUMERICAL ANALYSIS
inferredcites →https://doi.org/10.1137/0709049openalex-snapshot
The Solution of Large Symmetric Eigenproblems by Sectioning
inferredcites →https://doi.org/10.1137/0710024openalex-snapshot
An Algorithm for Generalized Matrix Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0710092openalex-snapshot
Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1184/r1/6610715openalex-snapshot
The numerical treatment of large eigenvalue problems
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2003785openalex-snapshot
Computational Methods of Linear Algebra
inferredcites →https://doi.org/10.2307/2005542openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.2307/2005673openalex-snapshot
Handbook for Automatic Computation. Vol II, Linear Algebra
inferredcites →https://doi.org/10.2307/2314680openalex-snapshot
The Theory of Matrices in Numerical Analysis.
inferredcites →https://doi.org/10.2514/3.5200openalex-snapshot
Gradient methods for finite-element eigenproblems.
inferredcites →https://doi.org/10.5170/cern-1974-010openalex-snapshot
On preconditioning and convergence acceleration in sparse matrix problems
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS
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Asymptotic Convergence of Conjugate Gradient Methods for the Partial Symmetric Eigenproblem
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Computable error bounds for the generalized symmetric eigenproblem
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Regions of convergence of the Rayleigh quotient iteration method
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Studies on Jacobi–Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates
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On the preconditioned conjugate gradient method for solving (A – λB)X =0
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A Comparison of Parallel Preconditioners for the Sparse Generalized Eigenvalue Problems by Rayleigh-Quotient Minimization
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Rayleigh Quotient Iteration for a Total Least Squares Filter in Robot Navigation
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Eigenvalue Problems and Preconditioning
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Rayleigh-Quotient-Minimierung mit Vorkonditionierung
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A Lanczos Algorithm with Restarts
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Eigenschwingungen ungedämpfter Systeme
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Sparse matrices
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Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems
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Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems
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Constructing blockmodels: How and why
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Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients
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A subspace lanczos method for the generalized symmetric eigenproblem
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Solution to large symmetric eigenproblems by an accelerated conjugate gradient technique
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Gradient eigenanalysis on nested finite elements
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