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Point Estimation of Root Finding Methods (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...

Pages   210
Est. Packaging Dimensions:   Length: 9.21" Width: 6.14" Height: 0.55"
Weight:   0.79 lbs.
Binding  Softcover
Release Date   May 29, 2008
Publisher   Springer
ISBN  3540778500  
ISBN13  9783540778509  

Availability  124 units.
Availability accurate as of Oct 28, 2016 08:12.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Number Systems
2Books > Subjects > Science > General
3Books > Subjects > Science > Mathematics > General
4Books > Subjects > Science > Mathematics > Number Systems

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