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020 _a9783540391135
_9978-3-540-39113-5
024 7 _a10.1007/BFb0072395
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
245 1 0 _aRational Approximation and Interpolation
_h[electronic resource] :
_bProceedings of the United Kingdom - United States Conference held at Tampa, Florida, December 12–16, 1983 /
_cedited by Peter Russell Graves-Morris, Edward B. Saff, Richard S. Varga.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1984.
300 _aXIV, 530 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1105
505 0 _aThe faber operator -- Survey on recent advances in inverse problems of Padé approximation theory -- Some properties and applications of Chebyshev polynomial and rational approximation -- Polynomial, sinc and rational function methods for approximating analytic functions -- Rational approximation of fractals -- On rational approximation of the exponential and the square root function -- Padé-type approximants and linear functional transformations -- Continued fraction solution of the general Riccati equation -- Order stars, contractivity and a pick-type theorem -- Bernstein and markov inequalities for constrained polynomials -- Multivariate interpolation -- The strong uniqueness constant in complex approximation -- On the minimum moduli of normalized polynomials -- On the block structure of the Laurent-Padé table -- Square blocks and equioscillation in the Padé, walsh, and cf tables -- Properties of Padé approximants to stieltjes series and systems theory -- Degree of rational approximation in digital filter realization -- Applications of schur fractions to digital filtering and signal processing -- A de montessus theorem for vector valued rational interpolants -- On the convergence of limit periodic continued fractions K(an/1), where a1 ? ?1/4 -- On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials -- On equiconvergence of certain sequences of rational interpolants -- Convergence and divergence of multipoint padé approximants of meromorphic functions -- Approximate analytic continuation beyond the first Riemann sheet -- Critical exponents for the general spin ising model using the rational approximation method -- Partial differential approximants and the elucidation of multisingularities -- Zeros of polynomials generated by 4-term recurrence relations -- A lower bound for the number of zeros of a function analytic in a disk -- Location of poles of Padé approximants to entire functions -- Approximations to ex arising in the numerical analysis of volterra equations -- Error evaluation for cubic bessel interpolation -- Extended numerical computations on the “1/9” conjecture in rational approximation theory -- Computing with the faber transform -- A-stable methods for second order differential systems and their relation to Padé approximants -- Shape preserving rational spline interpolation -- An application of gaussian elimination to interpolation by generalized rational functions -- Problems in numerical chebyshev approximation by interpolating rationals -- Exponential fitting of restricted rational approximations to the exponential function -- Quadrature formulae and moment problems -- Discrete ?p approximation by rational functions -- What is beyond Szegö's theory of orthogonal polynomials? -- Polynomials with laguerre weights in Lp -- Orthogonal polynomials for general measures-I.
650 0 _aNumerical analysis.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
700 1 _aGraves-Morris, Peter Russell.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSaff, Edward B.
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_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aVarga, Richard S.
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_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662168851
776 0 8 _iPrinted edition:
_z9783540138990
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1105
856 4 0 _uhttps://doi.org/10.1007/BFb0072395
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