On the convergence of the multivariate “homogeneous”qd-algorithm

Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first sec...
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Autor*in:	Cuyt, Annie [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1994

Anmerkung:	© the BIT Foundation 1994

Übergeordnetes Werk:	Enthalten in: BIT - Kluwer Academic Publishers, 1961, 34(1994), 4 vom: Dez., Seite 535-545
Übergeordnetes Werk:	volume:34 ; year:1994 ; number:4 ; month:12 ; pages:535-545

Links:	Volltext

DOI / URN:	10.1007/BF01934266

Katalog-ID:	OLC2050622686

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245	1	0	\|a On the convergence of the multivariate “homogeneous”qd-algorithm
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520			\|a Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”.
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allfields	10.1007/BF01934266 doi (DE-627)OLC2050622686 (DE-He213)BF01934266-p DE-627 ger DE-627 rakwb eng 070 VZ 31.00 bkl 54.00 bkl Cuyt, Annie verfasserin aut On the convergence of the multivariate “homogeneous”qd-algorithm 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the BIT Foundation 1994 Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. Enthalten in BIT Kluwer Academic Publishers, 1961 34(1994), 4 vom: Dez., Seite 535-545 (DE-627)129850969 (DE-600)280314-8 (DE-576)015150151 0006-3835 nnns volume:34 year:1994 number:4 month:12 pages:535-545 https://doi.org/10.1007/BF01934266 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-BBI SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4319 GBV_ILN_4325 31.00 VZ 54.00 VZ AR 34 1994 4 12 535-545
spelling	10.1007/BF01934266 doi (DE-627)OLC2050622686 (DE-He213)BF01934266-p DE-627 ger DE-627 rakwb eng 070 VZ 31.00 bkl 54.00 bkl Cuyt, Annie verfasserin aut On the convergence of the multivariate “homogeneous”qd-algorithm 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the BIT Foundation 1994 Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. Enthalten in BIT Kluwer Academic Publishers, 1961 34(1994), 4 vom: Dez., Seite 535-545 (DE-627)129850969 (DE-600)280314-8 (DE-576)015150151 0006-3835 nnns volume:34 year:1994 number:4 month:12 pages:535-545 https://doi.org/10.1007/BF01934266 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-BBI SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4319 GBV_ILN_4325 31.00 VZ 54.00 VZ AR 34 1994 4 12 535-545
allfields_unstemmed	10.1007/BF01934266 doi (DE-627)OLC2050622686 (DE-He213)BF01934266-p DE-627 ger DE-627 rakwb eng 070 VZ 31.00 bkl 54.00 bkl Cuyt, Annie verfasserin aut On the convergence of the multivariate “homogeneous”qd-algorithm 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the BIT Foundation 1994 Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. Enthalten in BIT Kluwer Academic Publishers, 1961 34(1994), 4 vom: Dez., Seite 535-545 (DE-627)129850969 (DE-600)280314-8 (DE-576)015150151 0006-3835 nnns volume:34 year:1994 number:4 month:12 pages:535-545 https://doi.org/10.1007/BF01934266 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-BBI SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4319 GBV_ILN_4325 31.00 VZ 54.00 VZ AR 34 1994 4 12 535-545
allfieldsGer	10.1007/BF01934266 doi (DE-627)OLC2050622686 (DE-He213)BF01934266-p DE-627 ger DE-627 rakwb eng 070 VZ 31.00 bkl 54.00 bkl Cuyt, Annie verfasserin aut On the convergence of the multivariate “homogeneous”qd-algorithm 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the BIT Foundation 1994 Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. Enthalten in BIT Kluwer Academic Publishers, 1961 34(1994), 4 vom: Dez., Seite 535-545 (DE-627)129850969 (DE-600)280314-8 (DE-576)015150151 0006-3835 nnns volume:34 year:1994 number:4 month:12 pages:535-545 https://doi.org/10.1007/BF01934266 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-BBI SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4319 GBV_ILN_4325 31.00 VZ 54.00 VZ AR 34 1994 4 12 535-545
allfieldsSound	10.1007/BF01934266 doi (DE-627)OLC2050622686 (DE-He213)BF01934266-p DE-627 ger DE-627 rakwb eng 070 VZ 31.00 bkl 54.00 bkl Cuyt, Annie verfasserin aut On the convergence of the multivariate “homogeneous”qd-algorithm 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the BIT Foundation 1994 Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. Enthalten in BIT Kluwer Academic Publishers, 1961 34(1994), 4 vom: Dez., Seite 535-545 (DE-627)129850969 (DE-600)280314-8 (DE-576)015150151 0006-3835 nnns volume:34 year:1994 number:4 month:12 pages:535-545 https://doi.org/10.1007/BF01934266 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-BBI SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4319 GBV_ILN_4325 31.00 VZ 54.00 VZ AR 34 1994 4 12 535-545
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title	On the convergence of the multivariate “homogeneous”qd-algorithm
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title_full	On the convergence of the multivariate “homogeneous”qd-algorithm
author_sort	Cuyt, Annie
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author_browse	Cuyt, Annie
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author-letter	Cuyt, Annie
doi_str_mv	10.1007/BF01934266
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title_sort	on the convergence of the multivariate “homogeneous”qd-algorithm
title_auth	On the convergence of the multivariate “homogeneous”qd-algorithm
abstract	Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. © the BIT Foundation 1994
abstractGer	Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. © the BIT Foundation 1994
abstract_unstemmed	Abstract The convergence of columns in the univariateqd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariateqd-algorithm was discovered in 1982 for the construction of the so-called homogeneous Padé approximants. In the first section we repeat the univariate convergence results. In the second section we summarize the “homogeneous” multivariateqd-algorithm. In the third section a multivariate convergence result is proved by combining results from the previous sections. This convergence result is compared with another theorem for the general order multivariateqdg-algorithm. The main difference lies in the fact that the homogeneous form detects the polar singularities “pointwise” while the general form detects them “curvewise”. © the BIT Foundation 1994
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title_short	On the convergence of the multivariate “homogeneous”qd-algorithm
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