메뉴 건너뛰기




Volumn 70, Issue 1, 1996, Pages 95-109

On the convergence of rows of vector Padé approximants

Author keywords

Clifford algebra; De Montessus theorem; Rational approximation; Row convergence; Vector Pad approximant

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FUNCTIONS; LINEAR ALGEBRA; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING; VECTORS;

EID: 0030171239     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00133-6     Document Type: Article
Times cited : (14)

References (22)
  • 1
    • 0013468899 scopus 로고
    • Some remarks on Clifford algebras
    • L.V. Ahlfors and P. Lounesto, Some remarks on Clifford algebras, Complex Variables 12 (1989) 201-209.
    • (1989) Complex Variables , vol.12 , pp. 201-209
    • Ahlfors, L.V.1    Lounesto, P.2
  • 4
    • 0000996745 scopus 로고
    • Vector-valued rational interpolants I
    • P.R. Graves-Morris, Vector-valued rational interpolants I, Numer. Math. 42 (1983) 331-348.
    • (1983) Numer. Math. , vol.42 , pp. 331-348
    • Graves-Morris, P.R.1
  • 5
    • 0000802681 scopus 로고
    • Extrapolation methods for vector sequences
    • P.R. Graves-Morris, Extrapolation methods for vector sequences, Numer. Math. 61 (1992) 475-487.
    • (1992) Numer. Math. , vol.61 , pp. 475-487
    • Graves-Morris, P.R.1
  • 6
    • 0000420227 scopus 로고
    • Vector-valued rational interpolants III
    • P.R. Graves-Morris and C.D. Jenkins, Vector-valued rational interpolants III, Constr. Approx. 2 (1986) 263-289.
    • (1986) Constr. Approx. , vol.2 , pp. 263-289
    • Graves-Morris, P.R.1    Jenkins, C.D.2
  • 8
    • 0002651689 scopus 로고
    • Row convergence theorems for generalised inverse vector-valued Padé approximants
    • P.R. Graves-Morris and E.B. Saff, Row convergence theorems for generalised inverse vector-valued Padé approximants, J. Comput. Appl. Math. 23 (1988) 63-85.
    • (1988) J. Comput. Appl. Math. , vol.23 , pp. 63-85
    • Graves-Morris, P.R.1    Saff, E.B.2
  • 9
    • 0000432450 scopus 로고
    • An extension of a row convergence theorem for vector Padé approximants
    • P.R. Graves-Morris and E.B. Saff, An extension of a row convergence theorem for vector Padé approximants, J. Comput. Appl. Math. 34 (1991) 315-324.
    • (1991) J. Comput. Appl. Math. , vol.34 , pp. 315-324
    • Graves-Morris, P.R.1    Saff, E.B.2
  • 10
    • 38249019912 scopus 로고
    • Matrix representations of Clifford algebras
    • G.N. Hile and P. Lounesto, Matrix representations of Clifford algebras, Linear Algebra Appl. 128 (1990) 51-63.
    • (1990) Linear Algebra Appl. , vol.128 , pp. 51-63
    • Hile, G.N.1    Lounesto, P.2
  • 12
    • 0003576156 scopus 로고
    • Cambridge Univ. Press, Cambridge, 2nd ed.
    • I.R. Porteous, Topological Geometry (Cambridge Univ. Press, Cambridge, 2nd ed., 1981).
    • (1981) Topological Geometry
    • Porteous, I.R.1
  • 14
    • 0001328946 scopus 로고
    • Clifford algebras and vector-valued rational forms I
    • D.E. Roberts, Clifford algebras and vector-valued rational forms I, Proc. Roy. Soc. London Series A 431 (1990) 285-300.
    • (1990) Proc. Roy. Soc. London Series A , vol.431 , pp. 285-300
    • Roberts, D.E.1
  • 15
    • 0010817169 scopus 로고
    • Clifford algebras and vector-valued rational forms II
    • D.E. Roberts, Clifford algebras and vector-valued rational forms II, Numerical Algorithms 3 (1992) 371-382.
    • (1992) Numerical Algorithms , vol.3 , pp. 371-382
    • Roberts, D.E.1
  • 16
    • 0010882957 scopus 로고
    • On the algebraic foundations of the vector ε-algorithm
    • R. Ablamowicz and P. Lounesto, Eds., Clifford Algebras and Spinor Structures, Kluwer, Dordrecht
    • D.E. Roberts, On the algebraic foundations of the vector ε-algorithm, in: R. Ablamowicz and P. Lounesto, Eds., Clifford Algebras and Spinor Structures, Mathematics and its Applications, Vol. 321 (Kluwer, Dordrecht, 1995) 343-361.
    • (1995) Mathematics and Its Applications , vol.321 , pp. 343-361
    • Roberts, D.E.1
  • 17
    • 0041390846 scopus 로고
    • The application of generalised inverse rational interpolants in the modal analysis of vibrating structures I
    • J.C. Mason and M.G. Cox, Eds., Oxford Univ. Press, Oxford
    • D.E. Roberts and P.R. Graves-Morris, The application of generalised inverse rational interpolants in the modal analysis of vibrating structures I, in: J.C. Mason and M.G. Cox, Eds., Algorithms for Approximation (Oxford Univ. Press, Oxford, 1987).
    • (1987) Algorithms for Approximation
    • Roberts, D.E.1    Graves-Morris, P.R.2
  • 18
    • 0001877492 scopus 로고
    • An extension of the Montessus de Ballore's theorem on the convergence of interpolating rational functions
    • E.B. Saff, An extension of the Montessus de Ballore's theorem on the convergence of interpolating rational functions, J. Approx. Theory 6 (1972) 63-67.
    • (1972) J. Approx. Theory , vol.6 , pp. 63-67
    • Saff, E.B.1
  • 19
    • 0041390844 scopus 로고
    • On the vector-valued Padé approximants and the vector ε-algorithm
    • A. Cuyt, Ed., Kluwer Academic Publishers, Dordrecht
    • A. Salam, On the vector-valued Padé approximants and the vector ε-algorithm, in: A. Cuyt, Ed., Non-Linear Numerical Methods and Rational Approximation II (Kluwer Academic Publishers, Dordrecht, 1994) 291-301.
    • (1994) Non-Linear Numerical Methods and Rational Approximation II , pp. 291-301
    • Salam, A.1
  • 20
    • 0023364737 scopus 로고
    • Extrapolation methods for vector sequences
    • D.A. Smith, W.F. Ford and A. Sidi, Extrapolation methods for vector sequences, SIAM Rev. 29 (1987) 199-233.
    • (1987) SIAM Rev. , vol.29 , pp. 199-233
    • Smith, D.A.1    Ford, W.F.2    Sidi, A.3
  • 22
    • 84968509237 scopus 로고
    • Acceleration techniques for iterative vector problems
    • P. Wynn, Acceleration techniques for iterative vector problems, Math. Comp. 16 (1962) 301-322.
    • (1962) Math. Comp. , vol.16 , pp. 301-322
    • Wynn, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.