The accurate inversion of vandermonde matrices

Computers and Mathematics with Applications

Volumn 47, Issue 6-7, 2004, Pages 921-929

  Jog, C S ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Accurate Vandermonde inverse

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; DIGITAL ARITHMETIC; ERROR ANALYSIS; POLYNOMIALS;

ACCURATE INVERSIONS; ACCURATE VANDERMODE MATRICES; PARKER ALGORITHMS;

MATRIX ALGEBRA;

EID: 2542449876     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90076-4     Document Type: Article

References (7)

1. F. Parker, Inverses of Vandermonde matrices, Amer. Math. Monthly 71, 410-411, (1964).
2. H.J. Wertz, On the numerical inversion of a recurrent problem: The Vandermonde matrix, IEEE Trans. on Automatic Control AC-10 4, 492, (1965).
3. J. Traub, Associated polynomials and uniform methods for the solution of linear problems, SIAM Review 8 (3), 277-301, (1966).
4. A. Bjorck and V. Pereyra, Solution of Vandermonde systems of linear equations, Math. Computation 24, 893-903, (1970).
5. I. Gohberg and V. Olshevsky, The fast generalized Parker-Traub algorithm for inversion of Vandermonde and related matrices, J. Complexity 13 (2), 208-234, (1997).
6. C.S. Jog, On the explicit determination of the polar decomposition in n-dimensional vector spaces, J. Elasticity 66 (2), 159-169, (2002).
7. D. Kaiman, A matrix proof of Newton's identities, http://www.american. edu/academic.depts/cas/mathstat/People/kalman/pdffiles/newtonsID.pdf.