Vector continued fractions

DOI10.1016/0024-3795(68)90015-3zbMath0164.18503OpenAlexW2014897584MaRDI QIDQ2529337

Peter Wynn

Publication date: 1968

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(68)90015-3

zbMATH Keywords

numerical analysis

Related Items

A Worpitzky theorem for vector valued continued fractions, Non-commutative extrapolation algorithms, From matrix to vector Padé approximants, A review of Padé methods for the acceleration of convergence of a sequence of vectors, Continued fractions in numerical analysis, An algebraic approach to the vector \(\varepsilon\)-algorithm, Obituary: Reminiscences of Peter Wynn, A Šleszyňski--Pringsheim theorem for vector valued continued fractions and its optimal error bounds., On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn, Clifford algebras and vector-valued rational forms. II, A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary, Some results in the theory of the vector \(\varepsilon\)-algorithm, Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm, Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme, Vector Padé-type approximants and vector Padé approximants, On vector Hankel determinants, A generalization of a theorem of Pringsheim, Upon some continuous prediction algorithms. II, On a representation of vector continued fractions, Continued fractions, discrete groups and complex dynamics, What is a vector Hankel determinant, Matrix-valued continued fractions.

Cites Work

• General purpose vector epsilon algorithm ALGOL procedures
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Note on An Algebraic Theorem of Eddington
• On Sets of Anticommuting Matrices
• THE NUMBER OF INTEGRABLE-SQUARE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion
• Singular rules for certain non-linear algorithms
• Les déterminants sur un corps non commutatif
• On a Device for Computing the e m (S n ) Transformation
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