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Convergence of the shifted QR algorithm on 3�3 normal matrices

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

inferredcites →https://doi.org/10.1007/978-3-642-75536-1_58openalex-snapshot
On GR Algorithms for the Eigenvalue Problem
inferredcites →https://doi.org/10.1007/bf02163331openalex-snapshot
TheQ R algorithm for real hessenberg matrices
inferredcites →https://doi.org/10.1007/bf02219772openalex-snapshot
Eigenvectors of real and complex matrices byLR andQR triangularizations
inferredcites →https://doi.org/10.1016/0024-3795(91)90004-gopenalex-snapshot
Convergence of algorithms of decomposition type for the eigenvalue problem
inferredcites →https://doi.org/10.1017/cbo9780511810817openalex-snapshot
Matrix Analysis
inferredcites →https://doi.org/10.1090/s0025-5718-1968-0247759-4openalex-snapshot
Global convergence of the basic 𝑄𝑅 algorithm on Hessenberg matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1990-1023041-4openalex-snapshot
Rayleigh Quotient Iteration for Nonsymmetric Matrices
inferredcites →https://doi.org/10.1093/comjnl/4.3.265openalex-snapshot
The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
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/nla.1680020310openalex-snapshot
Dynamical analysis of numerical systems
inferred← citeshttps://doi.org/10.1007/978-1-4612-2740-3_35openalex-snapshot
The Dynamics of Eigenvalue Computation
inferred← citeshttps://doi.org/10.1007/978-3-642-58045-1_24openalex-snapshot
Symplectic Aspects of Some Eigenvalue Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-662-26811-7_3openalex-snapshot
LAPACK: A Linear Algebra Library for High-Performance Computers
inferred← citeshttps://doi.org/10.1007/s10208-024-09658-7openalex-snapshot
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90286-wopenalex-snapshot
On swapping diagonal blocks in real Schur form
inferred← citeshttps://doi.org/10.1016/0024-3795(94)90010-8openalex-snapshot
Convergence of the Francis shifted QR algorithm on normal matrices
inferred← citeshttps://doi.org/10.1016/0045-7825(94)90132-5openalex-snapshot
Recent developments in the algebraic multiblock method for Euler equations
inferred← citeshttps://doi.org/10.1016/j.amc.2013.07.061openalex-snapshot
The convergence of multi-shift QR algorithm for symmetric matrices
inferred← citeshttps://doi.org/10.1016/j.cam.2008.08.004openalex-snapshot
Hyman’s method revisited
inferred← citeshttps://doi.org/10.1090/s0025-5718-1992-1134713-7openalex-snapshot
Linear convergence in the shifted 𝑄𝑅 algorithm
inferred← citeshttps://doi.org/10.1093/oso/9780198500148.003.0001openalex-snapshot
Recent Developments in Dense Numerical Linear Algebra
inferred← citeshttps://doi.org/10.1137/s0895479801384573openalex-snapshot
The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance
inferred← citeshttps://doi.org/10.1137/s0895479896297719openalex-snapshot
Using the Matrix Sign Function to Compute Invariant Subspaces
inferred← citeshttps://doi.org/10.1137/s0895479899357085openalex-snapshot
A Stratification of the Set of Normal Matrices
inferred← citeshttps://doi.org/10.4208/ijnam.v1.n2.p147openalex-snapshot
Neutrally Stable Fixed Points of the QR Algorithm
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