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The Computer Journal 1975 18(4):373-374; doi:10.1093/comjnl/18.4.373
© 1975 by British Computer Society
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Solving nonlinear Vanermonde systems

G. E. Trapp, Jr.1 and W. Squire, 2 *

1 Department of Statistics and Computer Science, West Virginia University, Morgantown, West Virginia, USA, 2 Department of Aerospace Engineering, West Virginia University, Morgantown, West Virginia, USA

The nonlinear system of equations V(x)=b, where V(x) is a Vandermonde matrix, may be used to determine roots of polynomials, eigenvalues of matrices and Chebychev quadrature formulae. A convergent iterative scheme is given to solve V(x)x=b, based on known methods for solving linear Vandermonde systems.


Received September 1973.

* Department of Aerospace Engineering,

§ Department of Statistics and Computer Science, West Virginia University, Morgantown, West Virginia 26506, USA


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