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A superfast algorithm for multi-dimensional Padé systems

https://doi.org/10.1007/bf02145386
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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/bf01202517openalex-snapshot
Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
inferredcites →https://doi.org/10.1007/bf01389636openalex-snapshot
Approximants de pade-hermite. 1ère partie: theorie
inferredcites →https://doi.org/10.1007/bf01389637openalex-snapshot
Approximants de Padé-Hermite 2ème partie: programmation
inferredcites →https://doi.org/10.1007/bf02142327openalex-snapshot
The computation of non-perfect Padé-Hermite approximants
inferredcites →https://doi.org/10.1016/0024-3795(92)90316-3openalex-snapshot
Inversion components of block Hankel-like matrices
inferredcites →https://doi.org/10.1016/0196-6774(80)90013-9openalex-snapshot
Fast solution of toeplitz systems of equations and computation of Padé approximants
inferredcites →https://doi.org/10.1016/0377-0427(87)90177-4openalex-snapshot
Recurrence relations in Padé-Hermite approximation
inferredcites →https://doi.org/10.1016/0377-0427(90)90036-yopenalex-snapshot
Definition and uniqueness of integral approximants
inferredcites →https://doi.org/10.1016/0377-0427(90)90411-ropenalex-snapshot
The structure of the singular solution table of the M-Padé approximation problem
inferredcites →https://doi.org/10.1016/0377-0427(90)90413-topenalex-snapshot
Minimal vector Padé approximation
inferredcites →https://doi.org/10.1016/0377-0427(92)90039-zopenalex-snapshot
A reliable method for computing M-Padé approximants on arbitrary staircases
inferredcites →https://doi.org/10.1016/0377-0427(92)90206-dopenalex-snapshot
On the theory and computation of nonperfect padé-hermite approximants
inferredcites →https://doi.org/10.1016/s1385-7258(64)50024-4openalex-snapshot
A Multidimensional Generalization of the Padé Table. II
inferredcites →https://doi.org/10.1016/s1385-7258(66)50049-xopenalex-snapshot
On the algebraic approximation of functions. I
inferredcites →https://doi.org/10.1017/s0004972700008716openalex-snapshot
The interruption phenomenon for generalized continued fractions
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771034-2openalex-snapshot
A look-ahead Lánczos algorithm for unsymmetric matrices
inferredcites →https://doi.org/10.1093/imanum/4.2.209openalex-snapshot
Vector-valued Rational Interpolants II
inferredcites →https://doi.org/10.1109/tit.1986.1057178openalex-snapshot
An algorithm for solving discrete-time Wiener-Hopf equations based upon Euclid's algorithm
inferredcites →https://doi.org/10.1137/0215018openalex-snapshot
Algebraic Computations of Scaled Padé Fractions
inferredcites →https://doi.org/10.1137/0218044openalex-snapshot
Matrix Padé Fractions and Their Computation
inferredcites →https://doi.org/10.1137/0219006openalex-snapshot
The Inverses of Block Hankel and Block Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0708060openalex-snapshot
Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/1014001openalex-snapshot
The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
inferredcites →https://doi.org/10.1515/crll.1932.166.118openalex-snapshot
Zur Approximation der Exponentialfunktion und des Logarithmus. Teil I.
inferredcites →https://doi.org/10.24033/asens.378openalex-snapshot
Sur la représentation approchée d'une fonction par des fractions rationnelles
inferredcites →https://doi.org/10.4064/-24-1-51-84openalex-snapshot
Some aspects of simultaneous rational approximation

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-1-4684-7415-2_15openalex-snapshot
Stable Look-Ahead Versions of the Euclidean and Chebyshev Algorithms
inferred← citeshttps://doi.org/10.1007/978-94-011-0970-3_10openalex-snapshot
The Multipoint Padé Table and General Recurrences for Rational Interpolation
inferred← citeshttps://doi.org/10.1007/bf00995487openalex-snapshot
The multipoint Pad� table and general recurrences for rational interpolation
inferred← citeshttps://doi.org/10.1007/bf01208432openalex-snapshot
A look-ahead method for computing vector Padé-Hermite approximants
inferred← citeshttps://doi.org/10.1016/0024-3795(93)00262-xopenalex-snapshot
Inversion of mosaic Hankel matrices via matrix polynomial systems
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90473-2openalex-snapshot
Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems
inferred← citeshttps://doi.org/10.1016/j.jsc.2008.03.001openalex-snapshot
Rational solutions of ordinary difference equations
inferred← citeshttps://doi.org/10.1016/s0377-0427(96)00120-3openalex-snapshot
Recursiveness in matrix rational interpolation problems
inferred← citeshttps://doi.org/10.1109/tpwrs.2017.2750711openalex-snapshot
A Novel Fast and Flexible Holomorphic Embedding Power Flow Method
inferred← citeshttps://doi.org/10.1137/0614053openalex-snapshot
A Weakly Stable Algorithm for Padé Approximants and the Inversion of Hankel Matrices
inferred← citeshttps://doi.org/10.1137/s0895479892230031openalex-snapshot
A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants
inferred← citeshttps://doi.org/10.1137/s0895479894268683openalex-snapshot
Computation of Numerical Padé–Hermite and Simultaneous Padé Systems I: Near Inversion of Generalized Sylvester Matrices
inferred← citeshttps://doi.org/10.1137/s0895479894268695openalex-snapshot
Computation of Numerical Padé–Hermite and Simultaneous Padé Systems II: A Weakly Stable Algorithm
inferred← citeshttps://doi.org/10.1137/s0895479897326912openalex-snapshot
Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs
inferred← citeshttps://doi.org/10.1145/1576702.1576708openalex-snapshot
Fraction-free computation of simultaneous padé approximants
inferred← citeshttps://doi.org/10.1145/244768.244790openalex-snapshot
Algorithm 766: experiments with a weakly stable algorithm for computing Padé-Hermite and simultaneous Padé approximants
inferred← citeshttps://doi.org/10.1145/258726.258765openalex-snapshot
Fraction-free computation of matrix Padé systems
inferred← citeshttps://doi.org/10.3390/math8030366openalex-snapshot
On Row Sequences of Hermite–Padé Approximation and Its Generalizations
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