Item description for Point Estimation of Root Finding Methods (Lecture Notes in Mathematics) by Miodrag Petkovic...
This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations.
These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.
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Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 0.55" Weight: 0.79 lbs.
Release Date May 29, 2008
ISBN 3540778500 ISBN13 9783540778509
Availability 124 units. Availability accurate as of May 26, 2017 09:01.
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