Solution of Equations and Systems of Equations is popular PDF and ePub book, written by A. M. Ostrowski in 2016-06-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Solution of Equations and Systems of Equations can be Read Online from any device for your convenience.
Solution of Equations and Systems of Equations Book PDF Summary
Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences. The book reviews the formula for confluent divided differences, Newton's interpolation formula, general interpolation problems, and the triangular schemes for computing divided differences. The text explains the method of False Position (Regula Falsi) and cites examples of computation using the Regula Falsi. The book discusses iterations by monotonic iterating functions and analyzes the connection of the Regula Falsi with the theory of iteration. The text also explains the idea of the Newton-Raphson method and compares it with the Regula Falsi. The book also cites asymptotic behavior of errors in the Regula Falsi iteration, as well as the theorem on the error of the Taylor approximation to the root. The method of steepest descent or gradient method proposed by Cauchy ensures "global convergence" in very general conditions. This book is suitable for mathematicians, students, and professor of calculus, and advanced mathematics.
Detail Book of Solution of Equations and Systems of Equations PDF
- Author : A. M. Ostrowski
- Release : 03 June 2016
- Publisher : Elsevier
- ISBN : 9781483223643
- Genre : Mathematics
- Total Page : 353 pages
- Language : English
- PDF File Size : 21,5 Mb
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