Recursive solution of Löwner-Vandermonde systems of equations. I

Linear Algebra and Its Applications

Volumn 233, Issue , 1996, Pages 51-65

  Rost, Karla ^a   Vavřín, Zdeněk ^b  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844492249     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(94)00040-9     Document Type: Article

References (7)

1. W. F. Donoghue, Jr., Monotone Matrix Functions and Analytic Continuation, Springer-Verlag, New York, 1974.
2. M. Fiedler, Hankel and Loewner matrices, Linear Algebra Appl. 58:75-95 (1984).
3. T. Finck, G. Heinig, and K. Rost, An inversion formula and fast algorithms for Cauchy-Vandermonde matrices, Linear Algebra Appl. 183:179-192 (1993).
4. T. Finck and K. Rost, Fast inversion of Cauchy-Vandermonde matrices, Seminar Analysis, Operator Equations and Numerical Analysis 1989/90, Karl-Weierstrass-Institut für Mathematik. Berlin:69-79 (1990).
5. B. Höhn, Algorithmen zur rationalen Interpolation und Löwner Matrizen, Dipl. Thesis, Univ. Leipzig, 1991.
6. G. Heinig and K. Rost, Recursive solution of Cauchy-Vandermonde systems of equations, Linear Algebra Appl. 218:59-72 (1995).
7. Z. Vavřín, A unified approach to Loewner and Hankel matrices, Linear Algebra Appl. 143:171-222 (1991).