Cuyt, Annie A. M. Multivariate Padé-approximants. (English) Zbl 0525.41017 J. Math. Anal. Appl. 96, 283-293 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 20 Documents MSC: 41A21 Padé approximation 41A63 Multidimensional problems Keywords:projection property; epsilon algorithm; multivariate interpolation sets; branched continued fractions; determinantal formulas Citations:Zbl 0499.65005 PDFBibTeX XMLCite \textit{A. A. M. Cuyt}, J. Math. Anal. Appl. 96, 283--293 (1983; Zbl 0525.41017) Full Text: DOI References: [1] Chisholm, J. S.R, \(N\)-variable rational approximants, (Saff, E. B.; Varga, R. S., Padé and Rational Approximation: Theory and Applications (1977), Academic Press: Academic Press London/New York), 23-42 · Zbl 0368.41010 [2] Cuyt, A. A.M, Abstract Padé Approximants in Operator Theory, (Lecture Notes in Mathematics No. 765 (1979), Springer-Verlag: Springer-Verlag Berlin/New York), 61-87 · Zbl 0431.41019 [3] Cuyt, A. A.M, On the properties of abstract rational (1-point) approximants, J. Oper. Theory, 6, 2, 195-216 (1981) · Zbl 0487.41021 [4] Jones, R. Hughes, General rational approximants in \(N\)-variables, J. Approx. Theory, 16, 201-233 (1976) · Zbl 0316.41011 [5] Karlsson, J.; Wallin, H., Rational approximation by an interpolation procedure in several variables, (Saff, E. B.; Varga, R. S., Padé and Rational Approximation: Theory and Applications (1977), Academic Press: Academic Press London/New York), 83-100 · Zbl 0368.41011 [6] Levin, D., General order Padé-type rational approximants defined from double power series, J. Inst. Math. Appl., 18, 1-8 (1976) · Zbl 0352.41015 [7] Lutterodt, C. H., Rational approximants to holomorphic functions in \(n\)-dimensions, J. Math. Anal. Appl., 53, 89-98 (1976) · Zbl 0319.32005 [8] Lutterodt, C. H., A two-dimensional analogue of Padé-approximant theory, J. Phys. A, 7, 9, 1027-1037 (1974) · Zbl 0288.32002 [9] Rall, L. B., Computational Solution of Nonlinear Operator Equations (1969), Wiley: Wiley New York · Zbl 0175.15804 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.