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Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators

https://doi.org/10.1007/bf02140775
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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-5700-4openalex-snapshot
A Short Introduction to Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-1-4684-9190-6openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. I Theory
inferredcites →https://doi.org/10.1007/978-3-642-61257-2openalex-snapshot
Numerical Continuation Methods
inferredcites →https://doi.org/10.1007/bf01390054openalex-snapshot
Homotopy algorithm for symmetric eigenvalue problems
inferredcites →https://doi.org/10.1007/bf01932964openalex-snapshot
The method of conjugate gradients used in inverse iteration
inferredcites →https://doi.org/10.1080/00949657508810122openalex-snapshot
Computation of the stationary distribution of a markov chain
inferredcites →https://doi.org/10.1090/s0025-5718-1992-1151113-4openalex-snapshot
Homotopy-Determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0725078openalex-snapshot
Criteria for Combining Inverse and Rayleigh Quotient Iteration
inferredcites →https://doi.org/10.1137/0729015openalex-snapshot
Solving Eigenvalue Problems of Real Nonsymmetric Matrices with Real Homotopies
inferredcites →https://doi.org/10.1137/0912026openalex-snapshot
Parallel Homotopy Algorithm for the Symmetric Tridiagonal 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/10.1137/1.9780898719192openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1021052openalex-snapshot
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
inferredcites →https://doi.org/10.3929/ethz-a-000919915openalex-snapshot
The homotopy method applied to eigenvalue problems
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations
inferredcites →https://doi.org/10.5860/choice.45-6220openalex-snapshot
Applied iterative methods

What points at this work

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

inferred← citeshttps://doi.org/10.1002/nla.564openalex-snapshot
A time‐independent approach for computing wave functions of the Schrödinger–Poisson system
inferred← citeshttps://doi.org/10.1007/978-3-642-55566-4_24openalex-snapshot
Jacobi Decomposition and Eigenvalues of Symmetric Matrices
inferred← citeshttps://doi.org/10.1007/s00211-011-0388-xopenalex-snapshot
An adaptive homotopy approach for non-selfadjoint eigenvalue problems
inferred← citeshttps://doi.org/10.1016/b978-0-444-50617-7.50010-0openalex-snapshot
Eigenvalue computation in the 20th century
inferred← citeshttps://doi.org/10.1016/j.cam.2006.05.013openalex-snapshot
An efficient algorithm for the Schrödinger–Poisson eigenvalue problem
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00413-1openalex-snapshot
Eigenvalue computation in the 20th century
inferred← citeshttps://doi.org/10.1016/s1570-8659(02)08003-1openalex-snapshot
Computational methods for large eigenvalue problems
inferred← citeshttps://doi.org/10.1088/1009-1963/9/6/012openalex-snapshot
Electrostatic potential of strongly nonlinear composites: homotopy continuation approach
inferred← citeshttps://doi.org/10.1137/050642861openalex-snapshot
Liapunov–Schmidt Reduction and Continuation for Nonlinear Schrödinger Equations
inferred← citeshttps://doi.org/10.1137/s1064827596299755openalex-snapshot
On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
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