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The Software Scene in the Extraction of Eigenvalues from Sparse Matrices

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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.1620080414openalex-snapshot
Eigenproblem solution of damped structural systems
inferredcites →https://doi.org/10.1002/nme.1620190608openalex-snapshot
Lanczos versus subspace iteration for solution of eigenvalue problems
inferredcites →https://doi.org/10.1007/3-540-08254-9openalex-snapshot
Matrix Eigensystem Routines — EISPACK Guide Extension
inferredcites →https://doi.org/10.1007/978-1-4757-0887-5_6openalex-snapshot
The Method of Configuration Interaction
inferredcites →https://doi.org/10.1007/978-3-540-38004-7openalex-snapshot
Matrix Eigensystem Routines — EISPACK Guide
inferredcites →https://doi.org/10.1007/978-3-642-86940-2openalex-snapshot
Handbook for Automatic Computation
inferredcites →https://doi.org/10.1007/978-94-009-7200-1_4openalex-snapshot
Matrix Eigenvector Methods
inferredcites →https://doi.org/10.1016/0021-9991(75)90065-0openalex-snapshot
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
inferredcites →https://doi.org/10.1016/0024-3795(80)90168-8openalex-snapshot
Computing the stationary distribution for infinite Markov chains
inferredcites →https://doi.org/10.1016/0024-3795(80)90169-xopenalex-snapshot
Variations on Arnoldi's method for computing eigenelements of large unsymmetric 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/10.1063/1.443765openalex-snapshot
The shape-driven graphical unitary group approach to the electron correlation problem. Application to the ethylene molecule
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0583502-2openalex-snapshot
The spectral transformation Lánczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
inferredcites →https://doi.org/10.1093/imanum/1.2.135openalex-snapshot
Tracking the Progress of the Lanczos Algorithm for Large Symmetric Eigenproblems
inferredcites →https://doi.org/10.1117/12.932504openalex-snapshot
Parallel Processing Algorithms And Architectures For Real-Time Signal Processing
inferredcites →https://doi.org/10.1137/0718008openalex-snapshot
Solving Sparse Symmetric Generalized Eigenvalue Problems without Factorization
inferredcites →https://doi.org/10.1137/0903005openalex-snapshot
Solving Symmetric-Definite Quadratic $\lambda $-Matrix Problems without Factorization
inferredcites →https://doi.org/10.1137/1.9780898719192openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
inferredcites →https://doi.org/10.1137/1.9781611971811openalex-snapshot
LINPACK Users' Guide
inferredcites →https://doi.org/10.1145/355791.355798openalex-snapshot
Eigensystem Computation for Skew-Symmetric and a Class of Symmetric Matrices
inferredcites →https://doi.org/10.1145/355815.355825openalex-snapshot
Algorithm 538: Eigenvectors and Eigenvalues of Real Generalized Symmetric Matrices by Simultaneous Iteration [F2]
inferredcites →https://doi.org/10.1145/355945.355952openalex-snapshot
Algorithm 570: LOPSI: A Simultaneous Iteration Method for Real Matrices [F2]
inferredcites →https://doi.org/10.2307/2007386openalex-snapshot
Large Scale Matrix Problems.
inferredcites →https://doi.org/10.2307/2007390openalex-snapshot
Sparse Matrices and Their Uses.
inferredcites →https://doi.org/10.2307/2007453openalex-snapshot
The Symmetric Eigenvalue Problem.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199703/04)4:2<69::aid-nla98>3.0.co;2-fopenalex-snapshot
Asymptotic Convergence of Conjugate Gradient Methods for the Partial Symmetric Eigenproblem
inferred← citeshttps://doi.org/10.1002/nla.1680020304openalex-snapshot
Progress in the numerical solution of the nonsymmetric eigenvalue problem
inferred← citeshttps://doi.org/10.1002/num.1690100409openalex-snapshot
Parallel evaluation of leftmost eigenpairs of large unsymmetric matrices
inferred← citeshttps://doi.org/10.1002/qua.22719openalex-snapshot
Lagrange‐type iterative methods for calculation of extreme eigenvalues of generalized eigenvalue problem with large symmetric matrices
inferred← citeshttps://doi.org/10.1007/978-1-4612-3468-5_13openalex-snapshot
The Eigenvalue Problem For Arbitrary Matrices
inferred← citeshttps://doi.org/10.1007/978-3-642-82444-9_14openalex-snapshot
The Lanczos Method in Lattice Gauge Theories
inferred← citeshttps://doi.org/10.1007/bfb0015240openalex-snapshot
Templates for linear algebra problems
inferred← citeshttps://doi.org/10.1007/s10092-014-0112-1openalex-snapshot
A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA
inferred← citeshttps://doi.org/10.1016/0010-4655(89)90147-1openalex-snapshot
Super-matrix methods
inferred← citeshttps://doi.org/10.1016/0010-4655(94)90073-6openalex-snapshot
A Davidson program for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix
inferred← citeshttps://doi.org/10.1016/0020-7683(91)90037-gopenalex-snapshot
A numerical variational method for extracting 3D singularities
inferred← citeshttps://doi.org/10.1016/0022-1694(86)90196-4openalex-snapshot
The use of matrix differential calculus in problems of multiple-aquifer flow
inferred← citeshttps://doi.org/10.1016/0024-3795(87)90105-4openalex-snapshot
An explicit formula for Lanczos polynomials
inferred← citeshttps://doi.org/10.1016/0024-3795(94)00155-3openalex-snapshot
Numerical solution of the Lyapunov equation by approximate power iteration
inferred← citeshttps://doi.org/10.1016/0370-2693(84)92061-6openalex-snapshot
Strong evidence for spontaneous chiral symmetry breaking in (quenched) QCD
inferred← citeshttps://doi.org/10.1016/0377-0427(87)90127-0openalex-snapshot
A survey of the advances in the exploitation of the sparsity in the solution of large problems
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00141-7openalex-snapshot
Robust preconditioning of large, sparse, symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1016/b978-0-12-557580-5.50015-6openalex-snapshot
References
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A lightweight feature selection method based on rankability
inferred← citeshttps://doi.org/10.1016/s0045-7825(02)00457-7openalex-snapshot
Numerical comparison of iterative eigensolvers for large sparse symmetric positive definite matrices
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Some basic information on information-based complexity theory
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Projection and deflation method for partial pole assignment in linear state feedback
inferred← citeshttps://doi.org/10.1109/cdc.1990.203598openalex-snapshot
Numerical solution of very large, sparse Lyapunov equations through approximate power iteration
inferred← citeshttps://doi.org/10.1137/0915004openalex-snapshot
The Davidson Method
inferred← citeshttps://doi.org/10.1137/s106482759528226xopenalex-snapshot
MINRES and MINERR Are Better than SYMMLQ in Eigenpair Computations
inferred← citeshttps://doi.org/10.1145/169627.169685openalex-snapshot
Reducing synchronization on the parallel Davidson method for the large sparse, eigenvalue problem
inferred← citeshttps://doi.org/10.1145/3292500.3330891openalex-snapshot
Network Density of States
inferred← citeshttps://doi.org/10.21236/ada256585openalex-snapshot
Some Basic Information on Information-Based Complexity Theory
inferred← citeshttps://doi.org/10.26456/mmg/2014-212openalex-snapshot
Iterative methods for calculations of extreme eigenvalues of large symmetric matrices
inferred← citeshttps://doi.org/10.5555/2336431.2336439openalex-snapshot
An overview on the eigenvalue computation for matrices
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