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Volumn 8, Issue 3, 1998, Pages 267-289

Formal vector orthogonal polynomials

Author keywords

Clifford group and algebra; Designants; Formal orthogonal polynomials in a non commutative algebra; Qd algorithm

Indexed keywords


EID: 0141602370     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018952415379     Document Type: Article
Times cited : (5)

References (20)
  • 3
    • 0019009634 scopus 로고
    • Theory and recursive computation of 1-D matrix Padé approximants
    • N.K. Bose and S. Basu, Theory and recursive computation of 1-D matrix Padé approximants, IEEE Trans. Circuit Systems 27 (1980) 323-325.
    • (1980) IEEE Trans. Circuit Systems , vol.27 , pp. 323-325
    • Bose, N.K.1    Basu, S.2
  • 5
    • 70350315109 scopus 로고
    • Padé approximation
    • eds. P.G. Ciarlet and J.L. Lions North-Holland, Amsterdam
    • C. Brezinski and J. Van Iseghem, Padé approximation, in: Handbook of Numerical Analysis, Vol. III, eds. P.G. Ciarlet and J.L. Lions (North-Holland, Amsterdam, 1994) pp. 47-222.
    • (1994) Handbook of Numerical Analysis , vol.3 , pp. 47-222
    • Brezinski, C.1    Van Iseghem, J.2
  • 7
    • 0000369182 scopus 로고
    • On certain results relating to quaternions
    • A. Cayley, On certain results relating to quaternions, Phil. Mag. 26 (1845) 141-145.
    • (1845) Phil. Mag. , vol.26 , pp. 141-145
    • Cayley, A.1
  • 8
    • 0002449815 scopus 로고
    • Les déterminants sur un corps non commutatif
    • J. Dieudonné, Les déterminants sur un corps non commutatif, Bull. Soc. Math. France 7 (1943) 27-45.
    • (1943) Bull. Soc. Math. France , vol.7 , pp. 27-45
    • Dieudonné, J.1
  • 10
    • 0041527208 scopus 로고
    • Publication ANO-96, Université des Sciences et Technologies de Lille
    • A. Draux, Approximants de type Padé et de Padé, Publication ANO-96, Université des Sciences et Technologies de Lille (1983).
    • (1983) Approximants de Type Padé et de Padé
    • Draux, A.1
  • 11
    • 0000035287 scopus 로고
    • Quaternion determinants
    • F.J. Dyson, Quaternion determinants, Helv. Phys. Acta 45 (1972) 289-302.
    • (1972) Helv. Phys. Acta , vol.45 , pp. 289-302
    • Dyson, F.J.1
  • 12
    • 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
  • 13
    • 0000546930 scopus 로고
    • Vector-valued rational interpolants II
    • P.R. Graves-Morris, Vector-valued rational interpolants II, IMA J. Numer. Anal. 4 (1984) 209-224.
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 209-224
    • Graves-Morris, P.R.1
  • 14
    • 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
  • 15
    • 0000172147 scopus 로고
    • Die Theorie der linearen Gleichungen in einer Zahlenspezies mit nichtkommutativer Multiplikation
    • A. Heyting, Die Theorie der linearen Gleichungen in einer Zahlenspezies mit nichtkommutativer Multiplikation, Math. Ann. 98 (1927) 465-490.
    • (1927) Math. Ann. , vol.98 , pp. 465-490
    • Heyting, A.1
  • 16
    • 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
  • 18
    • 0000321573 scopus 로고
    • A note on the ε-algorithm
    • J.B. McLeod, A note on the ε-algorithm, Computing 7 (1971) 17-24.
    • (1971) Computing , vol.7 , pp. 17-24
    • McLeod, J.B.1
  • 19
    • 84947145047 scopus 로고
    • A generalised inverse for matrices
    • R. Penrose, A generalised inverse for matrices, Proc. Cambridge Phil. Soc. 51 (1955) 406-413.
    • (1955) Proc. Cambridge Phil. Soc. , vol.51 , pp. 406-413
    • Penrose, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.