Lower bounds for the condition number of Vandermonde matrices

作者: Walter Gautschi , Gabriele Inglese

DOI: 10.1007/BF01398878

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摘要: We derive lower bounds for the ∞-condition number of then×n-Vandermonde matrixV n (x) in the cases where the node vectorx T =[x 1 , x 2 ,...,x n ] has positive elements or real …

参考文章(7)
Jack Dongarra, Cleve B Moler, James M Boyle, Burton S Garbow, Matrix Eigensystem Routines - EISPACK Guide Extension ,(1977)
Walter Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices III Numerische Mathematik. ,vol. 5, pp. 425- 430 ,(1963) , 10.1007/BF01385906
Walter Gautschi, Norm estimates for inverses of Vandermonde matrices Numerische Mathematik. ,vol. 23, pp. 337- 347 ,(1974) , 10.1007/BF01438260
Walter Gautschi, Optimally conditioned Vandermonde matrices Numerische Mathematik. ,vol. 24, pp. 1- 12 ,(1975) , 10.1007/BF01437212
Gene H Golub, Charles F Van Loan, Matrix computations ,(1983)
Walter Gautschi, On inverses of Vandermonde and confluent Vandermonde matrices III Numerische Mathematik. ,vol. 29, pp. 445- 450 ,(1978) , 10.1007/BF01432880