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A parallel algorithm for the eigenvalues and eigenvectors of a general complex matrix

https://doi.org/10.1007/bf01385654
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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/bf01386294openalex-snapshot
Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
inferredcites →https://doi.org/10.1007/bf01399324openalex-snapshot
A quadratically convergent Jacobi-like method for real matrices with complex eigenvalues
inferredcites →https://doi.org/10.1007/bf01399551openalex-snapshot
On a class of Jacobi-like procedures for diagonalising arbitrary real matrices
inferredcites →https://doi.org/10.1007/bf01933422openalex-snapshot
On the quadratic convergence of a generalization of the Jacobi Method to arbitrary matrices
inferredcites →https://doi.org/10.1007/bf01933538openalex-snapshot
The norm of a matrix after a similarity transformation
inferredcites →https://doi.org/10.1007/bf02165467openalex-snapshot
Solution to the Eigenproblem by a norm reducing Jacobi type method
inferredcites →https://doi.org/10.1016/0024-3795(68)90042-6openalex-snapshot
Almost diagonal matrices with multiple or close eigenvalues
inferredcites →https://doi.org/10.1016/0167-8191(89)90027-6openalex-snapshot
Computing the singular value decomposition on a distributed system of vector processors
inferredcites →https://doi.org/10.1016/0377-0427(89)90358-0openalex-snapshot
A quadratically convergent parallel Jacobi process for diagonally dominant matrices with distinct eigenvalues
inferredcites →https://doi.org/10.1017/cbo9781139568012.016openalex-snapshot
Über ein leichtes Verfahren, die in der Theorie der Sacularstorungen vorkommenden Gleichungen numerisch aufzulosen
inferredcites →https://doi.org/10.1090/s0002-9947-1960-0109825-2openalex-snapshot
The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1971-0297131-6openalex-snapshot
On Jacobi and Jacobi-Like Algorithms for a Parallel Computer
inferredcites →https://doi.org/10.1109/12.24289openalex-snapshot
A proof of convergence for two parallel Jacobi SVD algorithms
inferredcites →https://doi.org/10.1109/tc.1987.1676879openalex-snapshot
On the Schur Decomposition of a Matrix for Parallel Computation
inferredcites →https://doi.org/10.1137/0106010openalex-snapshot
Computing Eigenvalues of Non-Hermitian Matrices by Methods of Jacobi Type
inferredcites →https://doi.org/10.1137/0110007openalex-snapshot
A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary Matrix
inferredcites →https://doi.org/10.1137/0110029openalex-snapshot
Errata: A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1137/0610025openalex-snapshot
On the Convergence of the Cyclic Jacobi Method for Parallel Block Orderings
inferredcites →https://doi.org/10.1137/0906007openalex-snapshot
The Solution of Singular-Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays
inferredcites →https://doi.org/10.1137/0906058openalex-snapshot
A Jacobi-Like Algorithm for Computing the Schur Decomposition of a Nonhermitian Matrix
inferredcites →https://doi.org/10.1137/0907029openalex-snapshot
Solving Eigenvalue and Singular Value Problems on an Undersized Systolic Array
inferredcites →https://doi.org/10.1137/0910002openalex-snapshot
On Parallel Jacobi Orderings
inferredcites →https://doi.org/10.1145/320954.320960openalex-snapshot
The Jacobi Method for Real Symmetric Matrices
inferredcites →https://doi.org/10.1145/320964.320975openalex-snapshot
A Procedure for the Diagonalization of Normal Matrices
inferredcites →https://doi.org/10.1145/321043.321048openalex-snapshot
On Pre-Conditioning of Matrices
inferredcites →https://doi.org/10.1515/crll.1846.30.51openalex-snapshot
Über ein leichtes Verfahren die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen*).
inferredcites →https://doi.org/10.2307/2308885openalex-snapshot
On the Minimization of Matrix Norms
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations
inferredcites →https://doi.org/10.6028/nbs.rpt.2246openalex-snapshot
Lower bounds for the rank and location of the Eigenvalues of a matrix
inferredcites →https://doi.org/10.6100/ir41102openalex-snapshot
An eigenvalue algorithm based on norm-reducing transformations

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-94-015-8196-7_4openalex-snapshot
Trading off Parallelism and Numerical Stability
inferred← citeshttps://doi.org/10.1007/s002110050264openalex-snapshot
An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems
inferred← citeshttps://doi.org/10.1007/s11390-022-2101-1openalex-snapshot
Toward High-Performance Delta-Based Iterative Processing with a Group-Based Approach
inferred← citeshttps://doi.org/10.1007/s11704-014-3472-4openalex-snapshot
An adaptive switching scheme for iterative computing in the cloud
inferred← citeshttps://doi.org/10.1016/0304-3991(94)90058-2openalex-snapshot
The effect of a non-Hermitian crystal potential on the scattering matrix in reflection electron diffraction
inferred← citeshttps://doi.org/10.1016/j.sigpro.2026.110711openalex-snapshot
An iterative Jacobi-like algorithm to compute a few sparse approximate eigenvectors
inferred← citeshttps://doi.org/10.1017/s096249290000235xopenalex-snapshot
Parallel numerical linear algebra
inferred← citeshttps://doi.org/10.1088/0305-4470/37/44/l04openalex-snapshot
A simple method for complex eigenvalues
inferred← citeshttps://doi.org/10.1088/1674-1137/33/s2/005openalex-snapshot
Commissioning of electron cooling in CSRm
inferred← citeshttps://doi.org/10.1088/1674-1137/ababfaopenalex-snapshot
A compact analytical approximation for a light sterile neutrino oscillation in matter *
inferred← citeshttps://doi.org/10.1109/48.262299openalex-snapshot
Robust high-resolution direction-of-arrival estimation via signal eigenvector domain
inferred← citeshttps://doi.org/10.1109/tcc.2014.2328594openalex-snapshot
Resisting Skew-Accumulation for Time-Stepped Applications in the Cloud via Exploiting Parallelism
inferred← citeshttps://doi.org/10.1109/tvcg.2022.3209437openalex-snapshot
Constrained Dynamic Mode Decomposition
inferred← citeshttps://doi.org/10.1117/12.2031772openalex-snapshot
Implementation of QR-decomposition based on CORDIC for unitary MUSIC algorithm
inferred← citeshttps://doi.org/10.1137/s0895479894273900openalex-snapshot
Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/s1064827595281368openalex-snapshot
The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers
inferred← citeshttps://doi.org/10.14257/ijhit.2016.9.6.18openalex-snapshot
Using the Eigenvalue Partition to Compute the Automorphism Group
inferred← citeshttps://doi.org/10.48550/arxiv.1906.03781openalex-snapshot
A compact analytical approximation for a light sterile neutrino oscillation in matter
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