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Volumn 17, Issue 1-2, 1998, Pages 33-50

A vector Chebyshev algorithm

Author keywords

Chebyshev algorithm; Clifford algebras; Designants; Orthogonal polynomials; Quotient difference algorithm; Vector Pad approximants

Indexed keywords


EID: 0032390744     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1011633327892     Document Type: Article
Times cited : (1)

References (24)
  • 4
    • 0000336815 scopus 로고
    • Matrix interpretations and applications of the continued fraction algorithm
    • W.B. Gragg, Matrix interpretations and applications of the continued fraction algorithm, Rocky Mountain J. Math. 4 (1974) 213-225.
    • (1974) Rocky Mountain J. Math. , vol.4 , pp. 213-225
    • Gragg, W.B.1
  • 5
    • 21744436005 scopus 로고    scopus 로고
    • The compass (star) identity for vector-valued rational interpolants
    • P.R. Graves-Morris and B. Beckermann, The compass (star) identity for vector-valued rational interpolants, Adv. Comput. Math. 7 (1997) 279-294.
    • (1997) Adv. Comput. Math. , vol.7 , pp. 279-294
    • Graves-Morris, P.R.1    Beckermann, B.2
  • 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
    • 0030780338 scopus 로고    scopus 로고
    • Problems and progress in vector Padé approximation
    • P.R. Graves-Morris and D.E. Roberts, Problems and progress in vector Padé approximation, J. Comput. Appl. Math. 77 (1997) 173-200.
    • (1997) J. Comput. Appl. Math. , vol.77 , pp. 173-200
    • Graves-Morris, P.R.1    Roberts, D.E.2
  • 12
    • 0000172147 scopus 로고
    • Die Theorie der linearen Gleichungen in einer Zahlenspecies mit nichtkommutatives Multiplikation
    • A. Heyting, Die Theorie der linearen Gleichungen in einer Zahlenspecies mit nichtkommutatives Multiplikation, Math. Ann. 98 (1927) 465-490.
    • (1927) Math. Ann. , vol.98 , pp. 465-490
    • Heyting, A.1
  • 14
    • 0009552865 scopus 로고
    • eds. E.F. Bolinder and P. Lounesto Kluwer Academic, Dordrecht
    • M. Riesz, Clifford Numbers and Spinors, eds. E.F. Bolinder and P. Lounesto (Kluwer Academic, Dordrecht, 1995).
    • (1995) Clifford Numbers and Spinors
    • Riesz, M.1
  • 15
    • 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 Ser. A 431 (1990) 285-300.
    • (1990) Proc. Roy. Soc. London Ser. A , vol.431 , pp. 285-300
    • Roberts, D.E.1
  • 16
    • 0010817169 scopus 로고
    • Clifford algebras and vector-valued rational forms II
    • D.E. Roberts, Clifford algebras and vector-valued rational forms II, Numer. Algorithms 3 (1992) 371-382.
    • (1992) Numer. Algorithms , vol.3 , pp. 371-382
    • Roberts, D.E.1
  • 17
    • 0010819682 scopus 로고    scopus 로고
    • Vector continued fraction algorithms
    • eds. R. Ablamowicz et al. Birkhäuser, Basel
    • D.E. Roberts, Vector continued fraction algorithms, in: Clifford Algebras with Numeric and Symbolic Computations, eds. R. Ablamowicz et al. (Birkhäuser, Basel, 1996) pp. 111-119.
    • (1996) Clifford Algebras with Numeric and Symbolic Computations , pp. 111-119
    • Roberts, D.E.1
  • 18
    • 0141714057 scopus 로고    scopus 로고
    • On a vector q-d algorithm
    • D.E. Roberts, On a vector q-d algorithm, Adv. Comput. Math. 8 (1998) 193-219.
    • (1998) Adv. Comput. Math. , vol.8 , pp. 193-219
    • Roberts, D.E.1
  • 21
    • 0141602370 scopus 로고    scopus 로고
    • Formal vector orthogonal polynomials
    • A. Salam, Formal vector orthogonal polynomials, Adv. Comput. Math. 8 (1998) 267-284.
    • (1998) Adv. Comput. Math. , vol.8 , pp. 267-284
    • Salam, A.1
  • 23
    • 0000492350 scopus 로고
    • Continued fractions whose coefficients obey a non-commutative law of multiplication
    • P. Wynn, Continued fractions whose coefficients obey a non-commutative law of multiplication, Arch. Rational Mech. Anal. 12 (1963) 273-312.
    • (1963) Arch. Rational Mech. Anal. , vol.12 , pp. 273-312
    • Wynn, P.1
  • 24
    • 0001701541 scopus 로고
    • Vector continued fractions
    • P. Wynn, Vector continued fractions, Linear Algebra Appl. 1 (1968) 357-395.
    • (1968) Linear Algebra Appl. , vol.1 , pp. 357-395
    • Wynn, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.