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Volumn 112, Issue 1-2, 1999, Pages 165-180

Accurate recovery of recursion coefficients from Gaussian quadrature formulas

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0033345030     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00228-9     Document Type: Article
Times cited : (23)

References (16)
  • 2
    • 0000964853 scopus 로고
    • A survey of matrix inverse eigenvalue problems
    • Boley D., Golub G.H. A survey of matrix inverse eigenvalue problems. Inverse Problems. 3:1987;595-622.
    • (1987) Inverse Problems , vol.3 , pp. 595-622
    • Boley, D.1    Golub, G.H.2
  • 3
    • 0000912674 scopus 로고
    • The numerically stable reconstruction of a Jacobi matrix from spectral data
    • de Boor C., Golub G.H. The numerically stable reconstruction of a Jacobi matrix from spectral data. Linear Algebra Appl. 21:1978;245-260.
    • (1978) Linear Algebra Appl. , vol.21 , pp. 245-260
    • De Boor, C.1    Golub, G.H.2
  • 4
    • 21344496407 scopus 로고
    • Accurate singular values and differential quotient-difference algorithms
    • Fernando K.V., Parlett B.N. Accurate singular values and differential quotient-difference algorithms. Numer. Math. 67:1994;191-229.
    • (1994) Numer. Math. , vol.67 , pp. 191-229
    • Fernando, K.V.1    Parlett, B.N.2
  • 6
    • 84968482063 scopus 로고
    • Construction of Gauss-Christoffel quadrature formulae
    • Gautschi W. Construction of Gauss-Christoffel quadrature formulae. Math. Comput. 22:1968;251-270.
    • (1968) Math. Comput. , vol.22 , pp. 251-270
    • Gautschi, W.1
  • 7
    • 0020994107 scopus 로고
    • How and how not to check Gaussian quadrature formulae
    • Gautschi W. How and how not to check Gaussian quadrature formulae. BIT. 23:1983;209-216.
    • (1983) BIT , vol.23 , pp. 209-216
    • Gautschi, W.1
  • 8
    • 0000223746 scopus 로고
    • Calculation of Gauss quadrature rules
    • Golub G.H., Welsch J.H. Calculation of Gauss quadrature rules. Math. Comput. 23:1969;221-230.
    • (1969) Math. Comput. , vol.23 , pp. 221-230
    • Golub, G.H.1    Welsch, J.H.2
  • 9
    • 0001190030 scopus 로고
    • The numerically stable reconstruction of Jacobi matrices from spectral data
    • Gragg W.B., Harrod W.J. The numerically stable reconstruction of Jacobi matrices from spectral data. Numer. Math. 44:1984;317-335.
    • (1984) Numer. Math. , vol.44 , pp. 317-335
    • Gragg, W.B.1    Harrod, W.J.2
  • 12
    • 0008832105 scopus 로고
    • The new qd algorithms
    • Cambridge University Press, Cambridge
    • B.N. Parlett, The new qd algorithms, Acta Numerica 1995, Cambridge University Press, Cambridge, 1995, 459-491.
    • (1995) Acta Numerica 1995 , pp. 459-491
    • Parlett, B.N.1
  • 14
    • 0039715520 scopus 로고
    • On Jacobi rotation patterns
    • in: N.C. Metropolis, A.H. Taub, J. Todd, C.B. Tompkins (Eds.), Providence, RI, American Mathematical Society
    • H. Rutishauser, On Jacobi rotation patterns, in: N.C. Metropolis, A.H. Taub, J. Todd, C.B. Tompkins (Eds.), Experimental Arithmetic, High Speed Computation and Mathematics, Providence, RI, American Mathematical Society, 1963, pp. 219-239.
    • (1963) Experimental Arithmetic, High Speed Computation and Mathematics , pp. 219-239
    • Rutishauser, H.1
  • 15
    • 0004019778 scopus 로고    scopus 로고
    • Birkhäuser, Basel, 1990 (Translation by W. Gautschi of the 1976 German version edited by M. Gutknecht.)
    • H. Rutishauser, Lectures on Numerical Mathematics, Birkhäuser, Basel, 1990 (Translation by W. Gautschi of the 1976 German version edited by M. Gutknecht.).
    • Lectures on Numerical Mathematics
    • Rutishauser, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.