Some high-order zero-finding methods using almost orthogonal polynomials

DOI10.1017/S0334270000000916zbMath0333.65022WikidataQ56939359 ScholiaQ56939359MaRDI QIDQ4099139

Richard P. Brent

Publication date: 1975

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsorder of convergencealmost orthogonal polynomialsapproximation of simple zeros of functions of one variableexplicit nonlinear, Runge-Kutta methodsmultipoint iterative methods without memorysolution of special class of ordinary differential equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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An accelerated version of Newton's method with convergence order \(\sqrt{3}+1\)

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