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Householder's tridiagonalization of a symmetric matrix

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

inferredcites →https://doi.org/10.1007/978-3-642-86940-2_14openalex-snapshot
The QR and QL Algorithms for Symmetric Matrices
inferredcites →https://doi.org/10.1007/bf01385892openalex-snapshot
An error analysis of Householder's method for the symmetric eigenvalue problem
inferredcites →https://doi.org/10.1007/bf01386332openalex-snapshot
Householder's method for symmetric matrices
inferredcites →https://doi.org/10.1007/bf01386333openalex-snapshot
Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
inferredcites →https://doi.org/10.1007/bf01386334openalex-snapshot
Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration
inferredcites →https://doi.org/10.1007/bf02161847openalex-snapshot
RationalQR transformation with Newton shift for symmetric tridiagonal matrices
inferredcites →https://doi.org/10.1007/bf02162154openalex-snapshot
Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
inferredcites →https://doi.org/10.1007/bf02166681openalex-snapshot
TheQR andQL algorithms for symmetric matrices
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

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

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inferred← citeshttps://doi.org/10.1002/joc.1567openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/qua.560240851openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4419-7952-0_5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4757-0887-5_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-540-38004-7_7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-14390-8_41openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-56078-1_11openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_10openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_12openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_14openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_15openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_20openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_21openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_24openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_29openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-86940-2_8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-96905-8_11openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-39778-7_10openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-39778-7_12openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-39778-7_20openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-39778-7_21openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-39778-7_24openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00745446openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00748098openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00753992openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01296239openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02111897openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02161358openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02163027openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02165306openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02166681openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02219773openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02242374openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02926044openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11082-017-1244-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0010-4655(72)90026-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0021-9991(74)90016-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-2860(72)87049-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-2860(76)85095-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0097-8485(86)85014-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0141-1195(85)90088-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-8191(90)90103-gopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-8191(92)90079-mopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0304-4076(89)90063-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0584-8539(90)80240-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-0-12-557580-5.50015-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/j.laa.2010.02.009openalex-snapshot
On tridiagonal matrices unitarily equivalent to normal matrices
inferred← citeshttps://doi.org/10.1016/j.parco.2020.102639openalex-snapshot
High performance solution of skew-symmetric eigenvalue problems with applications in solving the Bethe-Salpeter eigenvalue problem
inferred← citeshttps://doi.org/10.1016/s0010-4655(01)00215-6openalex-snapshot
Fast eigensolver for dense real-symmetric matrices
inferred← citeshttps://doi.org/10.1016/s0016-7037(99)00388-9openalex-snapshot
Quantitative comparison of large sets of geochronological data using multivariate analysis: a provenance study example from Australia
inferred← citeshttps://doi.org/10.1016/s0277-5387(00)80872-4openalex-snapshot
Theoretical studies on organic transition-metal complexes—I. Parameterization and calibration of an extended CNDO/2 method for the calculation of stability constants
inferred← citeshttps://doi.org/10.1063/1.1675704openalex-snapshot
Valence-Bond Studies of AH2 Molecules. I. BeH2
inferred← citeshttps://doi.org/10.1063/1.445733openalex-snapshot
The quantum mechanical cell model in two dimensions
inferred← citeshttps://doi.org/10.1063/1.447881openalex-snapshot
Excited state dynamics of NaF:Cu+
inferred← citeshttps://doi.org/10.1063/5.0125683openalex-snapshot
Quantum embedding of multi-orbital fragments using the block-Householder transformation
inferred← citeshttps://doi.org/10.1063/5.0229787openalex-snapshot
Fragment quantum embedding using the Householder transformation: A multi-state extension based on ensembles
inferred← citeshttps://doi.org/10.1080/00031305.1985.10479394openalex-snapshot
Statistical Computing Software Reviews
inferred← citeshttps://doi.org/10.1080/00031305.1986.10475421openalex-snapshot
Statistical Computing Software Reviews
inferred← citeshttps://doi.org/10.1080/00207169908804852openalex-snapshot
The choleski Q.I.F. algorithm for solving symmetric linear systems
inferred← citeshttps://doi.org/10.1080/00268977100102211openalex-snapshot
The calculation of π-electron spin densities in even-membered radical ions
inferred← citeshttps://doi.org/10.1088/0022-3700/3/2/005openalex-snapshot
The one- and two-dimensional quartic oscillators
inferred← citeshttps://doi.org/10.1088/0022-3700/3/2/006openalex-snapshot
The three-dimensional quartic oscillator
inferred← citeshttps://doi.org/10.1088/0022-3700/3/6/001openalex-snapshot
Matrix elements in harmonic oscillator representations I. General solution and application to one dimension
inferred← citeshttps://doi.org/10.1088/0022-3700/3/6/002openalex-snapshot
Matrix elements in harmonic oscillator representations II. Application to two dimensions
inferred← citeshttps://doi.org/10.1088/0256-307x/11/6/010openalex-snapshot
Negative Eigenvalue Counting Method for One-Dimensional Mesoscopic Rings
inferred← citeshttps://doi.org/10.1090/s0025-5718-1969-0258258-9openalex-snapshot
Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
inferred← citeshttps://doi.org/10.1090/s0025-5718-1971-0295555-4openalex-snapshot
A Stable, Rational QR Algorithm for the Computation of the Eigenvalues of an Hermitian, Tridiagonal Matrix
inferred← citeshttps://doi.org/10.1090/s0025-5718-1982-0645665-1openalex-snapshot
Numerical Comparisons of Nonlinear Convergence Accelerators
inferred← citeshttps://doi.org/10.1103/physreva.87.032103openalex-snapshot
Quantum simulation of the Riemann-Hurwitz ζ function
inferred← citeshttps://doi.org/10.1103/physrevb.39.9904openalex-snapshot
Inflation rules, band structure, and localization of electronic states in a two-dimensional Penrose lattice
inferred← citeshttps://doi.org/10.1103/physrevb.43.1378openalex-snapshot
Electronic properties of two-dimensional quasicrystals with near-neighbor interactions
inferred← citeshttps://doi.org/10.1103/physrevb.7.1825openalex-snapshot
Electron-Spin-Resonance Spectra of Nearest-Neighbor Cr3+ Pairs in the Spinel Zn Ga2 O4
inferred← citeshttps://doi.org/10.1109/icassp.2019.8683425openalex-snapshot
Second Order Sequential Best Rotation Algorithm with Householder Reduction for Polynomial Matrix Eigenvalue Decomposition
inferred← citeshttps://doi.org/10.1109/mcsi.2014.24openalex-snapshot
Univariate Function Decomposition via Tridiagonal Vector Enhanced Multivariance Products Representation (TVEMPR)
inferred← citeshttps://doi.org/10.1109/mcsi.2014.25openalex-snapshot
Infinite Vector Decomposition in Tridiagonal Matrix Enhanced Multivariance Products Representation (TMEMPR) Perspective
inferred← citeshttps://doi.org/10.1109/tc.1973.5009113openalex-snapshot
On the Precision Attainable with Various Floating-Point Number Systems
inferred← citeshttps://doi.org/10.1109/tcs.1982.1085202openalex-snapshot
A numerical design procedure for general canonic LC one-ports
inferred← citeshttps://doi.org/10.1109/tmtt.1975.1128587openalex-snapshot
The Solution of Electromagnetic Eigenvalue Problems by Least Squares Boundary Residuals (Short Papers)
inferred← citeshttps://doi.org/10.1117/12.2224256openalex-snapshot
Real-time fetal ECG system design using embedded microprocessors
inferred← citeshttps://doi.org/10.1137/0707039openalex-snapshot
$Ax = \lambda Bx$ and the Generalized Eigenproblem
inferred← citeshttps://doi.org/10.1137/s0895479803428229openalex-snapshot
An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form
inferred← citeshttps://doi.org/10.1145/1198450.1198454openalex-snapshot
State of the art in matrix computations
inferred← citeshttps://doi.org/10.1145/355611.355612openalex-snapshot
Algorithm 467: Matrix Transposition in Place
inferred← citeshttps://doi.org/10.1145/355611.362539openalex-snapshot
Algorithm 464: eigenvalues of a real, symmetric, tridiagonal matrix [F2]
inferred← citeshttps://doi.org/10.1145/355791.355798openalex-snapshot
Eigensystem Computation for Skew-Symmetric and a Class of Symmetric Matrices
inferred← citeshttps://doi.org/10.1145/355791.355799openalex-snapshot
Algorithm 530: An Algorithm for Computing the Eigensystem of Skew-Symmetric Matrices and a Class of Symmetric Matrices [F2]
inferred← citeshttps://doi.org/10.1145/360767.360783openalex-snapshot
Tridiagonalization by permutations
inferred← citeshttps://doi.org/10.1145/390006.802259openalex-snapshot
Eigenanalysis and polynomial root finding primitive functions
inferred← citeshttps://doi.org/10.2514/1.j057187openalex-snapshot
Uncertainty Estimation Module for Turbulence Model Predictions in SU2
inferred← citeshttps://doi.org/10.48550/arxiv.1004.3374openalex-snapshot
On the precision attainable with various floating-point number systems
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