LEADER 03920nam 2200589 450 001 996466497803316 005 20220907120245.0 010 $a3-540-38606-8 024 7 $a10.1007/BFb0095573 035 $a(CKB)1000000000437915 035 $a(SSID)ssj0000325489 035 $a(PQKBManifestationID)12049795 035 $a(PQKBTitleCode)TC0000325489 035 $a(PQKBWorkID)10324156 035 $a(PQKB)11439164 035 $a(DE-He213)978-3-540-38606-3 035 $a(MiAaPQ)EBC5591118 035 $a(Au-PeEL)EBL5591118 035 $a(OCoLC)1066194148 035 $a(MiAaPQ)EBC6841848 035 $a(Au-PeEL)EBL6841848 035 $a(OCoLC)793078697 035 $a(PPN)155175548 035 $a(EXLCZ)991000000000437915 100 $a20220907d1981 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aPade approximation and its applications, Amsterdam 1980 $eproceedings of a conference held in Amsterdam, the Netherlands, October 29-31 1980 /$fedited by M. G. de Bruin, H. van Rossum 205 $a1st ed. 1981. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1981] 210 4$d©1981 215 $a1 online resource (VIII, 388 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 888 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-11154-9 327 $aThe long history of continued fractions and Padé approximants -- Efficient reliable rational interpolation -- Non-linear splines, some applications to singular problems -- On the conditioning of the Padé approximation problem -- Pade-approximations in number theory -- Error analysis of incoming and outgoing schemes for the trigonometric moment problem -- Generalized rational correctors -- Sur une généralisation de l'interpolation rationnelle -- Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant -- Choix automatique entre suites de parametres dans l'extrapolation de richardson -- Quelques resultats sur la structure des tables de pade-hermite -- Approximants of exponential type general orthogonal polynomials -- Multipoint Padé approximants converging to functions of Stieltjes' type -- Pade approximant inequalities for the functions of the class S -- Acceleration of convergence of power iterative process -- Generalized order star theory -- Singularities of functions determined by the poles of Padé approximants -- Pade approximants and related methods for computing boundary values on cuts -- Acceleration de la convergence pour certaines suites a convergence logarithmique -- Difficulties of convergence acceleration -- On the even extension of an M fraction -- Rate of convergence of sequences of pade-type approximants and pole detection in the complex plane -- Recurrence coefficients in case of Anderson localisation -- Atomic radiative transitions in strong fields via pade approximants -- On two general algorithms for extrapolation with applications to numerical differentiation and integration -- Formally biorthogonal polynomials -- The Padé table and its connection with some weak exponential function approximations to laplace transform inversion -- On some conditions for convergence of branched continued fractions -- Rational interpolation to meromorphic functions. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 888. 606 $aPade? approximant$vCongresses 615 0$aPade? approximant 676 $a511.4 702 $aBruin$b M. G. de$g(Marcelis Gerrit de),$f1944- 702 $aRossum$b H. van$g(Hermanus),$f1917- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466497803316 996 $aPadé Approximation and its applications Amsterdam 1980$9262495 997 $aUNISA