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Linear convergence of the row cyclic Jacobi and Kogbetliantz methods

https://doi.org/10.1007/bf01395779
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What this work says

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

inferredcites →https://doi.org/10.1002/asna.18450222002openalex-snapshot
Ueber eine neue Auflösungsart der bei der Methode der kleinsten Quadrate vorkommenden lineären Gleichungen
inferredcites →https://doi.org/10.1002/zamm.19650450528openalex-snapshot
G. Schröder, Über die Konvergenz einiger Jacobi‐Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen. (Forschungsbericht Nr. 1291, Nr. 5 der Schriften des IIM, Serie A) 59 S. u. 5 Tab. Köln/Opladen 1964. Westdeutscher Verlag. Preis brosch. DM 48,50
inferredcites →https://doi.org/10.1007/978-3-322-98498-2openalex-snapshot
Über die Konvergenz einiger Jacobi-Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen
inferredcites →https://doi.org/10.1007/bf01386036openalex-snapshot
Zur Konvergenz des Jacobi-Verfahrens
inferredcites →https://doi.org/10.1007/bf01386091openalex-snapshot
Zur quadratischen Konvergenz des Jacobi-Verfahrens
inferredcites →https://doi.org/10.1007/bf01386321openalex-snapshot
Note on the quadratic convergence of the cyclic Jacobi process
inferredcites →https://doi.org/10.1007/bf02165224openalex-snapshot
On the convergence of the classical Jacobi method for real symmetric matrices with non-distinct eigenvalues
inferredcites →https://doi.org/10.1007/bf02165225openalex-snapshot
On the quadratic convergence of the special cyclic Jacobi method
inferredcites →https://doi.org/10.1016/0024-3795(68)90023-2openalex-snapshot
An estimate for the norms of certain cyclic Jacobi operators
inferredcites →https://doi.org/10.1016/0024-3795(68)90042-6openalex-snapshot
Almost diagonal matrices with multiple or close eigenvalues
inferredcites →https://doi.org/10.1016/0024-3795(86)90171-0openalex-snapshot
Triangular processor array for computing singular values
inferredcites →https://doi.org/10.1016/0024-3795(86)90173-4openalex-snapshot
On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
inferredcites →https://doi.org/10.1016/0024-3795(87)90031-0openalex-snapshot
On Kogbetliantz's SVD Algorithm in the Presence of Clusters
inferredcites →https://doi.org/10.1016/0024-3795(88)90313-8openalex-snapshot
Note on the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
inferredcites →https://doi.org/10.1016/0743-7315(85)90027-9openalex-snapshot
A parallel method for computing the generalized singular value decomposition
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/qam/88795openalex-snapshot
Solution of linear equations by diagonalization of coefficients matrix
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/10.1117/12.936875openalex-snapshot
Systolic Array Computation Of The SVD Of Complex Matrices
inferredcites →https://doi.org/10.1137/0106008openalex-snapshot
On the Speed of Convergence of Cyclic and Quasicyclic Jacobi Methods for Computing Eigenvalues of Hermitian Matrices
inferredcites →https://doi.org/10.1137/0907077openalex-snapshot
Computing the Generalized Singular Value Decomposition
inferredcites →https://doi.org/10.1137/0907078openalex-snapshot
Computing the Singular Value Decomposition of a Product of Two Matrices
inferredcites →https://doi.org/10.1137/0908064openalex-snapshot
On Jacobi Methods for Singular Value Decompositions
inferredcites →https://doi.org/10.1145/355984.355990openalex-snapshot
An Improved Algorithm for Computing the Singular Value Decomposition
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*).

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.1680020604openalex-snapshot
Implicit Cholesky algorithms for singular values and vectors of triangular matrices
inferred← citeshttps://doi.org/10.1007/978-3-642-75536-1_9openalex-snapshot
Parallel Algorithms for Singular Value Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-83874-3_5openalex-snapshot
Computing Accurate Eigenvalues of a Hermitian Matrix
inferred← citeshttps://doi.org/10.1007/978-3-7091-6033-6_6openalex-snapshot
Quadratic Convergence of Scaled Iterates by Kogbetliantz Method
inferred← citeshttps://doi.org/10.1007/bf01385728openalex-snapshot
On sharp quadratic convergence bounds for the serial Jacobi methods
inferred← citeshttps://doi.org/10.1007/s00211-014-0647-8openalex-snapshot
Convergence to diagonal form of block Jacobi-type methods
inferred← citeshttps://doi.org/10.1007/s10543-012-0388-yopenalex-snapshot
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD
inferred← citeshttps://doi.org/10.1007/s11565-007-0027-8openalex-snapshot
Quadratic convergence of a special quasi-cyclic Jacobi method
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90479-8openalex-snapshot
On the QR algorithm and updating the SVD and the URV decomposition in parallel
inferred← citeshttps://doi.org/10.1016/j.amc.2008.12.086openalex-snapshot
Accuracy of two SVD algorithms for triangular matrices
inferred← citeshttps://doi.org/10.1016/j.amc.2010.09.020openalex-snapshot
Accuracy of the Kogbetliantz method for scaled diagonally dominant triangular matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2014.02.024openalex-snapshot
On high relative accuracy of the Kogbetliantz method
inferred← citeshttps://doi.org/10.1016/j.laa.2021.08.022openalex-snapshot
On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem
inferred← citeshttps://doi.org/10.1080/03081087.2019.1604622openalex-snapshot
On the convergence of complex Jacobi methods
inferred← citeshttps://doi.org/10.1109/icc.2012.6364229openalex-snapshot
Blind null-space learning for spatial coexistence in MIMO cognitive radios
inferred← citeshttps://doi.org/10.1109/ita.2013.6502962openalex-snapshot
One-Bit Null Space Learning for MIMO underlay cognitive radio
inferred← citeshttps://doi.org/10.1109/tsp.2013.2278155openalex-snapshot
The One-Bit Null Space Learning Algorithm and Its Convergence
inferred← citeshttps://doi.org/10.1137/05064552xopenalex-snapshot
Convergence of a Block‐Oriented Quasi‐Cyclic Jacobi Method
inferred← citeshttps://doi.org/10.1137/0613061openalex-snapshot
A Singular Value Decomposition Updating Algorithm for Subspace Tracking
inferred← citeshttps://doi.org/10.1137/0914085openalex-snapshot
Computing the Generalized Singular Value Decomposition
inferred← citeshttps://doi.org/10.1137/0915081openalex-snapshot
On the Parallel Implementation of Jacobi and Kogbetliantz Algorithms
inferred← citeshttps://doi.org/10.1137/s00361445024039openalex-snapshot
The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra Revisited
inferred← citeshttps://doi.org/10.1137/s0895479896304782openalex-snapshot
The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra
inferred← citeshttps://doi.org/10.21236/ada327492openalex-snapshot
Implicit Cholesky Algorithms for Singular Values and Vectors,
inferred← citeshttps://doi.org/10.23919/ecc.1997.7082249openalex-snapshot
The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra
inferred← citeshttps://doi.org/10.48550/arxiv.1202.0366openalex-snapshot
Blind Null-Space Learning for MIMO Underlay Cognitive Radio Networks
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