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An algorithm for the generalized symmetric tridiagonal eigenvalue problem

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

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Constructing a Finite Element Model of a Vibratory Rod from Eigendata
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Matrix Eigensystem Routines — EISPACK Guide
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The Numerical Treatment of Differential Equations
inferredcites →https://doi.org/10.1007/bf01396757openalex-snapshot
A divide and conquer method for the symmetric tridiagonal eigenproblem
inferredcites →https://doi.org/10.1007/bf02142745openalex-snapshot
A homotopy algorithm for a symmetric generalized eigenproblem
inferredcites →https://doi.org/10.1016/0167-8191(95)00019-kopenalex-snapshot
A scalable eigenvalue solver for symmetric tridiagonal matrices
inferredcites →https://doi.org/10.1016/0168-9274(93)90100-6openalex-snapshot
Parallel implementations for solving generalized eigenvalue problems with symmetric sparse matrices
inferredcites →https://doi.org/10.1016/0309-1708(80)90069-xopenalex-snapshot
An analysis of the finite element method
inferredcites →https://doi.org/10.1088/0305-4470/23/23/021openalex-snapshot
Symmetric matrix methods for Schrodinger eigenvectors
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Table errata: The numerical treatment of differential equations (third edition, Springer, Berlin, 1960) by L. Collatz
inferredcites →https://doi.org/10.1115/1.3157781openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1115/1.3167704openalex-snapshot
Finite Elements for Structural Analysis
inferredcites →https://doi.org/10.1137/0614026openalex-snapshot
An Algorithm for the Banded Symmetric Generalized Matrix
inferredcites →https://doi.org/10.1137/0902022openalex-snapshot
Families of High Order Accurate Discretizations of Some Elliptic Problems
inferredcites →https://doi.org/10.1137/0908018openalex-snapshot
A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0914046openalex-snapshot
An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation
inferredcites →https://doi.org/10.1137/0915071openalex-snapshot
The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.21236/ada262297openalex-snapshot
A Parallel Divide and Conquer Algorithm for the Generalized Real Symmetric Definite Tridiagonal Eigenproblem
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/10.2307/2005448openalex-snapshot
Matrix Eigensystem Routines--EISPACK Guide
inferredcites →https://doi.org/10.2307/2005716openalex-snapshot
An Analysis of the Finite Element Method
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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

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On Halley iteration
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Quadrature rules from a RII type recurrence relation and associated quadrature rules on the unit circle
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Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.12.003openalex-snapshot
Simultaneous band reduction of two symmetric matrices
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An isospectral transformation between Hessenberg–bidiagonal matrix pencils and Hessenberg matrices without using subtraction
inferred← citeshttps://doi.org/10.1109/icapp.2002.1173559openalex-snapshot
A new divide and conquer algorithm for real symmetric band generalized eigenvalue problem
inferred← citeshttps://doi.org/10.1137/050624856openalex-snapshot
Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/070679491openalex-snapshot
A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem
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Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains
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On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
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Oridonin: A Mini Review on the Anti-Cancer, Anti-Inflammatory, Cardioprotective, Hepatoprotective, Renoprotective and Lung Protective Properties
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Durand-Kerner Root-Finding Method for the Generalized Tridiagonal Eigenproblem
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A Root-Finding Method for the Generalized Tridiagonal Eigenproblem
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