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Point Estimation of Root Finding Methods (Paperback, 2008 ed.)
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Point Estimation of Root Finding Methods (Paperback, 2008 ed.)
Series: Lecture Notes in Mathematics, 1933
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Total price: R1,200
Discovery Miles: 12 000
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The problem of solving nonlinear equations and systems of equations
ranks among the most signi?cant in the theory and practice, not
only of applied
mathematicsbutalsoofmanybranchesofengineeringsciences, physics, c-
puter science, astronomy, ?nance, and so on. A glance at the
bibliography and the list of great mathematicians who have worked
on this topic points to a high level of contemporary interest.
Although the rapid development of digital computers led to the
e?ective implementation of many numerical methods, in practical
realization, it is necessary to solve various problems such as
computational e?ciency based on the total central processor unit
time, the construction of iterative methods which possess a fast
convergence in the presence of multiplicity (or clusters) of a
desired solution, the control of rounding errors, information about
error bounds of obtained approximate solution, stating
computationally veri?able initial conditions that ensure a safe
convergence, etc. It is the solution of these challenging problems
that was the principal motivation for the present study. In this
book, we are mainly concerned with the statement and study of
initial conditions that provide the guaranteed convergence of an
iterative method for solving equations of the form f(z) = 0. The
traditional approach to this problem is mainly based on asymptotic
convergence analysis using some strong hypotheses on
di?erentiability and derivative bounds in a rather wide domai
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Lecture Notes in Mathematics, 1933 |
Release date: |
June 2008 |
First published: |
June 2008 |
Authors: |
Miodrag Petkovi c
|
Dimensions: |
235 x 155 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
210 |
Edition: |
2008 ed. |
ISBN-13: |
978-3-540-77850-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
3-540-77850-0 |
Barcode: |
9783540778509 |
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