© 1975 by British Computer Society
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Solving nonlinear Vanermonde systems
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