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Your search keyword '"Complex number"' showing total 3 results
Start Over "Complex number" Topic mathematical analysis Journal communications of the acm
3 results on '"Complex number"'

1. Automatic errorbounds for simple zeros of analytic functions

Author

Jon G. Rokne

Subjects
General Computer Science, Mathematical analysis, Interval arithmetic, symbols.namesake, Iterated function, Bessel polynomials, symbols, Applied mathematics, Complex number, Newton's method, Bessel function, Variable (mathematics), Analytic function, Mathematics
Abstract

The Cauchy-Ostrowski theorem on convergence of Newton iterates for an analytic function in one variable is extended to include computational errors using complex interval arithmetic. Several numerical examples are given for polynomials with real and complex roots and one example for the Bessel function of the first kind.

Published
1973

2. A Stopping Criterion for Polynomial Root Finding.

Author

Adams, Duane A.

Subjects
POLYNOMIALS, NUMERICAL roots, MATHEMATICAL analysis
Abstract

Presents an algorithm that terminates the iteration process when searching for the root of a polynomial. Calculated bounds for the roundoff error that occurs in evaluating polynomials; Means for accepting a complex number as a zero of a real polynomial.

Published
1967
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3. Complex matrix inversion versus real

Author

Louis W. Ehrlich

Subjects
Sample matrix inversion, Combinatorics, Complex matrix, General Computer Science, Computer science, Numerical analysis, Mathematical analysis, Inversion (meteorology), Round-off error, Complex number
Published
1970

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