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The implicit application of a rational filter in the RKS method

https://doi.org/10.1007/bf02510361
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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/bf01935024openalex-snapshot
The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices
inferredcites →https://doi.org/10.1016/0021-9991(92)90315-popenalex-snapshot
An Arnoldi-based iterative scheme for nonsymmetric matrix pencils arising in finite element stability problems
inferredcites →https://doi.org/10.1016/0024-3795(84)90221-0openalex-snapshot
Rational Krylov sequence methods for eigenvalue computation
inferredcites →https://doi.org/10.1016/0024-3795(87)90126-1openalex-snapshot
Complex shift and invert strategies for real matrices
inferredcites →https://doi.org/10.1016/0024-3795(94)90492-8openalex-snapshot
Rational Krylov algorithms for nonsymmetric eigenvalue problems. II. matrix pairs
inferredcites →https://doi.org/10.1016/s0304-0208(08)72641-0openalex-snapshot
Eigenvalue Problems and Algorithms in Structural Engineering
inferredcites →https://doi.org/10.1016/s0304-0208(08)72642-2openalex-snapshot
A Generalised Eigenvalue Problem and The Lanczos Algorithm
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0431641-8openalex-snapshot
Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization
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/10.1090/s0025-5718-1987-0878698-5openalex-snapshot
How to implement the spectral transformation
inferredcites →https://doi.org/10.1090/s0025-5718-96-00745-4openalex-snapshot
On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
inferredcites →https://doi.org/10.1090/s0025-5718-97-00844-2openalex-snapshot
Implicitly restarted Arnoldi with purification for the shift-invert transformation
inferredcites →https://doi.org/10.1093/imanum/16.3.297openalex-snapshot
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/0614022openalex-snapshot
Forward Instability of Tridiagonal QR
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479888151111openalex-snapshot
A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems
inferredcites →https://doi.org/10.1137/s0895479893245991openalex-snapshot
Forward Stability and Transmission of Shifts in the $QR$ Algorithm
inferredcites →https://doi.org/10.1137/s0895479894270427openalex-snapshot
A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479895281484openalex-snapshot
Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
inferredcites →https://doi.org/10.1137/s1064827595285597openalex-snapshot
Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
inferredcites →https://doi.org/10.2307/2005398openalex-snapshot
Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
inferredcites →https://doi.org/10.2307/2006390openalex-snapshot
The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
inferredcites →https://doi.org/10.2307/2007835openalex-snapshot
How to Implement the Spectral Transformation
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.

inferred← citeshttps://doi.org/10.1002/1099-1506(200101/02)8:1<33::aid-nla226>3.0.co;2-bopenalex-snapshot
Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem
inferred← citeshttps://doi.org/10.1002/nla.2214openalex-snapshot
A compact rational Krylov method for large‐scale rational eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.laa.2018.09.021openalex-snapshot
An implicit filter for rational Krylov using core transformations
inferred← citeshttps://doi.org/10.1016/s0024-3795(98)10153-2openalex-snapshot
Restrictions on implicit filtering techniques for orthogonal projection methods
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00089-8openalex-snapshot
Using implicitly filtered RKS for generalised eigenvalue problems
inferred← citeshttps://doi.org/10.1093/imanum/drv017openalex-snapshot
An implicitly restarted rational Krylov strategy for Lyapunov inverse iteration
inferred← citeshttps://doi.org/10.1137/090755412openalex-snapshot
On the Convergence of Rational Ritz Values
inferred← citeshttps://doi.org/10.1137/140976698openalex-snapshot
Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/140998081openalex-snapshot
Generalized Rational Krylov Decompositions with an Application to Rational Approximation
inferred← citeshttps://doi.org/10.1137/17m1144167openalex-snapshot
Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/18m1170480openalex-snapshot
A Rational QZ Method
inferred← citeshttps://doi.org/10.1137/s0895479896311220openalex-snapshot
Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method
inferred← citeshttps://doi.org/10.1137/s106482759935174xopenalex-snapshot
Locking and Restarting Quadratic Eigenvalue Solvers
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