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The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited

https://doi.org/10.1137/0915071
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What this work says

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

inferredcites →https://doi.org/10.1007/bf01390054openalex-snapshot
Homotopy algorithm for symmetric eigenvalue problems
inferredcites →https://doi.org/10.1007/bf01396757openalex-snapshot
A divide and conquer method for the symmetric tridiagonal eigenproblem
inferredcites →https://doi.org/10.1007/s002110050093openalex-snapshot
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices
inferredcites →https://doi.org/10.1016/0167-8191(95)00019-kopenalex-snapshot
A scalable eigenvalue solver for symmetric tridiagonal matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1992-1151113-4openalex-snapshot
Homotopy-Determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1093/comjnl/4.4.332openalex-snapshot
The QR Transformation--Part 2
inferredcites →https://doi.org/10.1137/0728087openalex-snapshot
On the Orthogonality of Eigenvectors Computed by Divide-and-Conquer Techniques
inferredcites →https://doi.org/10.1137/0729015openalex-snapshot
Solving Eigenvalue Problems of Real Nonsymmetric Matrices with Real Homotopies
inferredcites →https://doi.org/10.1137/0908018openalex-snapshot
A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0911052openalex-snapshot
Accurate Singular Values of Bidiagonal Matrices
inferredcites →https://doi.org/10.1137/0912026openalex-snapshot
Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0913031openalex-snapshot
Improving the Accuracy of Inverse Iteration
inferredcites →https://doi.org/10.1137/0914046openalex-snapshot
An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation
inferredcites →https://doi.org/10.1137/1.9780898719079openalex-snapshot
Perturbation Bounds for Matrix Eigenvalues
inferredcites →https://doi.org/10.2172/5604546openalex-snapshot
LAPACK users' guide: Release 1. 0
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2005148openalex-snapshot
A Collection of Matrices for Testing Computational Algorithms
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/cpe.764openalex-snapshot
A parallel Broyden approach to the Toeplitz inverse eigenproblem
inferred← citeshttps://doi.org/10.1002/nla.753openalex-snapshot
A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices
inferred← citeshttps://doi.org/10.1007/11573937_19openalex-snapshot
Solving the Symmetric Tridiagonal Eigenproblem Using MPI/OpenMP Hybrid Parallelization
inferred← citeshttps://doi.org/10.1007/3-540-44942-6_29openalex-snapshot
A New Parallel Approach to the Toeplitz Inverse Eigenproblem Using Newton-like Methods
inferred← citeshttps://doi.org/10.1007/978-3-540-72905-1_10openalex-snapshot
An Implementation of Parallel Eigenvalue Computation Using Dual-Level Hybrid Parallelism
inferred← citeshttps://doi.org/10.1007/bf02142694openalex-snapshot
An algorithm for the generalized symmetric tridiagonal eigenvalue problem
inferred← citeshttps://doi.org/10.1007/bfb0024683openalex-snapshot
Implementing the parallel quasi-Laguerre's algorithm for symmetric tridiagonal eigenproblems
inferred← citeshttps://doi.org/10.1007/s002110050093openalex-snapshot
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices
inferred← citeshttps://doi.org/10.1016/0167-8191(95)00019-kopenalex-snapshot
A scalable eigenvalue solver for symmetric tridiagonal matrices
inferred← citeshttps://doi.org/10.1016/j.amc.2016.09.025openalex-snapshot
Symbolic computation and computer graphics as tools for developing and studying new root-finding methods
inferred← citeshttps://doi.org/10.1016/j.cam.2008.08.004openalex-snapshot
Hyman’s method revisited
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00031-1openalex-snapshot
Eigenvalue inequalities and equalities
inferred← citeshttps://doi.org/10.1080/00207160.2018.1429598openalex-snapshot
On optimal parameter of Laguerre's family of zero-finding methods
inferred← citeshttps://doi.org/10.1090/s0025-5718-97-00786-2openalex-snapshot
The quasi-Laguerre iteration
inferred← citeshttps://doi.org/10.1109/cdc.2006.377537openalex-snapshot
New Families of Higher Order Iterative Methods for Solving Equations
inferred← citeshttps://doi.org/10.1109/empdp.1998.647173openalex-snapshot
Exploiting the parallel divide-and-conquer method to solve the symmetric tridiagonal eigenproblem
inferred← citeshttps://doi.org/10.1109/icdcs.1994.302477openalex-snapshot
Design and performance evaluation of a distributed eigenvalue solver on a workstation cluster
inferred← citeshttps://doi.org/10.1109/ispdc.2008.44openalex-snapshot
A Threaded Divide and Conquer Symmetric Tridiagonal Eigensolver on Multicore Systems
inferred← citeshttps://doi.org/10.1109/pesgm41954.2020.9281590openalex-snapshot
On Information Transfer-Based Characterization of Power System Stability
inferred← citeshttps://doi.org/10.1137/030601107openalex-snapshot
A Parallel Eigensolver for Dense Symmetric Matrices Based on Multiple Relatively Robust Representations
inferred← citeshttps://doi.org/10.1137/050624856openalex-snapshot
Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/s1064827594273225openalex-snapshot
Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s1064827594274887openalex-snapshot
The Orthogonal qd-Algorithm
inferred← citeshttps://doi.org/10.1137/s1064827596310585openalex-snapshot
Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems
inferred← citeshttps://doi.org/10.1145/1687399.1687542openalex-snapshot
Fast and reliable passivity assessment and enforcement with extended Hamiltonian pencil
inferred← citeshttps://doi.org/10.1177/109434209300700402openalex-snapshot
Efficient, Massively Parallel Eigenvalue Computation
inferred← citeshttps://doi.org/10.26512/2015.08.d.20642openalex-snapshot
Algoritmo paralelo para determinação de autovalores de matrizes hermitianas
inferred← citeshttps://doi.org/10.31274/td-20240329-467openalex-snapshot
Koopman operator based data-driven characterization and control of power system dynamics and stability
inferred← citeshttps://doi.org/10.3390/appliedmath3010007openalex-snapshot
A Fast Algorithm for the Eigenvalue Bounds of a Class of Symmetric Tridiagonal Interval Matrices
inferred← citeshttps://doi.org/10.3390/math10152782openalex-snapshot
A Novel Divisional Bisection Method for the Symmetric Tridiagonal Eigenvalue Problem
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