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Der Quotienten-Differenzen-Algorithmus
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/zamm.19530330806openalex-snapshot
Zur Interpolation von tabellierten Funktionen durch Exponentialsummen und zur Berechnung von Eigenwerten aus den Schwarzschen Konstanten
inferredcites →https://doi.org/10.1007/bf02075304openalex-snapshot
Beiträge zur Kenntnis des Biorthogonalisierungs-Algorithmus von Lanczos
inferredcites →https://doi.org/10.1007/bfb0093301openalex-snapshot
Analytic Theory of Continued Fractions
inferredcites →https://doi.org/10.1017/s0370164600022070openalex-snapshot
XXV.—On Bernoulli's Numerical Solution of Algebraic Equations
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mana.19640270509openalex-snapshot
Über die Konvergenz des Quotienten‐Differenzen‐Algorithmus von Rutishauser für Eigenwertprobleme gewisser linearer Operatoren
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Large order perturbation theory in the context of atomic and molecular physics—interdisciplinary aspects
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Inner projection with and without perturbation theory: The anharmonic oscillator revisited and the quadratic Zeeman effect in ground‐state hydrogen
inferred← citeshttps://doi.org/10.1002/zamm.19580380113openalex-snapshot
Zu Stiefels Berechnung der Eigenwerte aus den Schwarzschen Konstanten
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Praktische Lösung von Eigenwertaufgaben des Hartree‐Fockschen Typs
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QR Decomposition An Annotated Bibliography
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Special Functions in the Computer Era
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Pade Approximation in One and More Variables
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inferred← citeshttps://doi.org/10.1007/bf00739089openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01021089openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01385882openalex-snapshot
Stabile Sonderf�lle des Quotienten-Differenzen-Algorithmus
inferred← citeshttps://doi.org/10.1007/bf01386220openalex-snapshot
�ber einen Interpolations-Algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen
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inferred← citeshttps://doi.org/10.1007/bf01607018openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01899329openalex-snapshot
Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus
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Singular rules for certain non-linear algorithms
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inferred← citeshttps://doi.org/10.1007/bf02161885openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02165237openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02424776openalex-snapshot
Zur Bestimmung der Eigenwerte schiefsymmetrischer Matrizen
inferred← citeshttps://doi.org/10.1007/bf02433046openalex-snapshot
QD-Type Algorithms for the Nonnormal Newton--Padé Approximation Table
inferred← citeshttps://doi.org/10.1007/bf02510213openalex-snapshot
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-christoffel rules, I
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Sulla valutazione numerica dei residui ai poli delle funzioni meromorfe
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Una formula asintotica per le differenze modificatee (n)k dell’ algoritmoQD
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Numerical Properties of Shifted Tridiagonal LU Factorizations
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Continued fraction expansions for the Lambert $$\varvec{W}$$ W function
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Numerik, ALGOL und die Schweizer Hochalpen. Zur Arbeit an der Biografie von Heinz Rutishauser (1918–1970)
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A Flexible Inverse Laplace Transform Algorithm and its Application
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Variations on Lanczos' tridiagonalization process
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Generalized qd algorithm and Markov–Bernstein inequalities for Jacobi weight
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A new algorithm for computing the Geronimus transformation with large shifts
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Generalized qd algorithm for block band matrices
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Computing recurrence coefficients of multiple orthogonal polynomials
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A new integrable convergence acceleration algorithm for computing Brezinski–Durbin–Redivo-Zaglia’s sequence transformation via pfaffians
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The rational iteration method by Georges Lemaître
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The genesis and early developments of Aitken’s process, Shanks’ transformation, the ε–algorithm, and related fixed point methods
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On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm
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On a continued fraction expansion of the special function $$e^{x}E_{1}(x)$$ and an explicit expression of the continued fraction convergents
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The representation of functions through the combined use of integral transforms and pade approximants: Pade-Laplace analysis of functions as sums of exponentials
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Computational Methods in Special Functions-A Survey
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Parametric Analysis of Time Signals and Spectra from Perspectives of Quantum Physics and Chemistry
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The orthogonal qd-algorithm
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Numerical Laplace inversion in problems of elastodynamics: Comparison of four algorithms
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Eigenvalue computation for band matrices via Hadamard polynomials and discrete integrable systems
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MDL Groundwater software: Laplace transforms and the De Hoog algorithm to solve contaminant transport equations
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A more accurate algorithm for computing the Christoffel transformation
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Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be?
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DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems
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Christoffel transform and multiple orthogonal polynomials
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Multivariate approximants with Levin-like transforms
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Coarse-grained computation for particle coagulation and sintering processes by linking Quadrature Method of Moments with Monte-Carlo
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Solution of population balance equations in applications with fine particles: Mathematical modeling and numerical schemes
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Realizable second-order finite-volume schemes for the advection of moment sets of the particle size distribution
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Higher order hyperbolic quadrature method of moments for solving kinetic equations
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Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
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An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media
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MR3-SMP: A symmetric tridiagonal eigensolver for multi-core architectures
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An O(n2) algorithm for the bidiagonal SVD
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Chapter 3 Exact Signal–Noise Separation by Froissart Doublets in Fast Padé Transform for Magnetic Resonance Spectroscopy
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Chapter 3 Bounds for Averages using Moment Constraints
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Chapter IV: Applications
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QR-like algorithms for eigenvalue problems
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QD-algorithms and recurrence relations for biorthogonal polynomials
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Accurate recovery of recursion coefficients from Gaussian quadrature formulas
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A transpose-free “Lanczos/Orthodir” algorithm for linear systems
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A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms
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Lanczos-type solvers for nonsymmetric linear systems of equations
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Transient analysis of the EM field coupling to multi-conductor transmission lines using the NILT method
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Transpose-free Lanczos-type algorithms for nonsymmetric linear systems
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Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities
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On Summation Formulas Due to Plana, Lindelöf and Abel, and Related Gauss-Christoffel Rules, III
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Numerical methods for establishing solutions to the inverse problem of electromagnetic induction
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Error Bounds in Equilibrium Statistical Mechanics
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Continued fractions and Rayleigh–Schrödinger perturbation theory at large order
inferred← citeshttps://doi.org/10.1080/00221687409499724openalex-snapshot
CONTINUOUS FLOWS, DISCONTINUOUS FLOWS AND NUMERICAL ANALYSIS
inferred← citeshttps://doi.org/10.1080/03610929808832165openalex-snapshot
Mixture models in hazard rates estimation
inferred← citeshttps://doi.org/10.1080/15715124.2012.679736openalex-snapshot
Numerical solution of the advection-diffusion equation using Laplace transform finite analytical method
inferred← citeshttps://doi.org/10.1088/0266-5611/16/2/310openalex-snapshot
Integrable discretization of the modified KdV equation and applications
inferred← citeshttps://doi.org/10.1088/0266-5611/20/5/015openalex-snapshot
Padé approximation of Laplace transforms of some special functions in terms of Painlevé equations
inferred← citeshttps://doi.org/10.1088/0266-5611/26/9/095013openalex-snapshot
Cross rules of some extrapolation algorithms
inferred← citeshttps://doi.org/10.1088/0305-4470/30/24/031openalex-snapshot
Discrete-time Volterra chain and classical orthogonal polynomials
inferred← citeshttps://doi.org/10.1088/0305-4470/38/18/007openalex-snapshot
Duality for discrete integrable systems
inferred← citeshttps://doi.org/10.1088/0951-7715/24/8/006openalex-snapshot
Higher analogues of the discrete-time Toda equation and the quotient-difference algorithm
inferred← citeshttps://doi.org/10.1088/1751-8113/42/40/404019openalex-snapshot
Initial value problems for lattice equations
inferred← citeshttps://doi.org/10.1088/1751-8113/44/28/285207openalex-snapshot
Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices
inferred← citeshttps://doi.org/10.1088/1751-8113/45/13/135202openalex-snapshot
A novelnth order difference equation that may be integrable
inferred← citeshttps://doi.org/10.1088/1751-8113/48/1/015204openalex-snapshot
About several classes of bi-orthogonal polynomials and discrete integrable systems
inferred← citeshttps://doi.org/10.1088/1751-8121/aab7feopenalex-snapshot
An application of the discrete-time Toda lattice to the progressive algorithm by Lanczos and related problems
inferred← citeshttps://doi.org/10.1088/1751-8121/aad1a1openalex-snapshot
Duality for discrete integrable systems II
inferred← citeshttps://doi.org/10.1090/s0025-5718-1960-0116457-2openalex-snapshot
The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion
inferred← citeshttps://doi.org/10.1090/s0025-5718-1967-0228165-4openalex-snapshot
A Numerical Method for Locating the Zeros of an Analytic Function
inferred← citeshttps://doi.org/10.1090/s0025-5718-1967-0240950-1openalex-snapshot
A Continued Fraction Algorithm for the Computation of Higher Transcendental Functions in the Complex Plane
inferred← citeshttps://doi.org/10.1090/s0025-5718-57-99287-6openalex-snapshot
Reviews and Descriptions of Tables and Books
inferred← citeshttps://doi.org/10.1090/s0025-5718-98-00987-9openalex-snapshot
The Toda molecule equation and the 𝜖-algorithm
inferred← citeshttps://doi.org/10.1093/biomet/63.2.367openalex-snapshot
On the Cramér-Wold factorization
inferred← citeshttps://doi.org/10.1093/imanum/drp012openalex-snapshot
The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments
inferred← citeshttps://doi.org/10.1093/imanum/drq003openalex-snapshot
From qd to LR, or, how were the qd and LR algorithms discovered?
inferred← citeshttps://doi.org/10.1103/physreva.31.2054openalex-snapshot
Algebraic methods, Bender-Wu formulas, and continued fractions at large order for charmonium
inferred← citeshttps://doi.org/10.1109/ccca.2011.6031197openalex-snapshot
Indirect influence of lightning EM field induced in a power line on the high frequency transmission line
inferred← citeshttps://doi.org/10.1109/icks.2004.1openalex-snapshot
A new approach to numerical algorithms in terms of integrable systems
inferred← citeshttps://doi.org/10.1109/icks.2007.22openalex-snapshot
Positivity and Stability of the dLV Algorithm for Computing Matrix Singular Values
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