Numerical methods for equations and its applications
Argyros, Ioannis K.
Numerical methods for equations and its applications [electronic resource] / Ioannis K. Argyros, Yeol Je Cho, Sa�id Hilout - Boca Raton, Fla. : CRC Press, 2012 - viii, 465 p. : ill
"A Science Publishers book.
Includes bibliographical references (p. 415-462) and index
1. Introduction -- 2. Newton's method -- 3. Secant method -- 4. Steffensen's method -- 5. Gauss-Newton method -- 6. Newton-type methods -- 7. Inexact methods -- 8. Werner's method -- 9. Halley's method -- 10. Methods for variational inequalities -- 11. Fast two-step methods -- 12. Fixed point methods
"This monograph is intended for researchers in computational sciences, and as a reference book for an advanced numerical-functional analysis or computer science course. The goal is to introduce these powerful concepts and techniques at the earliest possible stage. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, with optimization and weakening of existing hypotheses considerations each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem"--
Mode of access: World Wide Web
9781466517110 (ebook : PDF)
Numerical functions
Functional analysis
Electronic books.
Numerical methods for equations and its applications [electronic resource] / Ioannis K. Argyros, Yeol Je Cho, Sa�id Hilout - Boca Raton, Fla. : CRC Press, 2012 - viii, 465 p. : ill
"A Science Publishers book.
Includes bibliographical references (p. 415-462) and index
1. Introduction -- 2. Newton's method -- 3. Secant method -- 4. Steffensen's method -- 5. Gauss-Newton method -- 6. Newton-type methods -- 7. Inexact methods -- 8. Werner's method -- 9. Halley's method -- 10. Methods for variational inequalities -- 11. Fast two-step methods -- 12. Fixed point methods
"This monograph is intended for researchers in computational sciences, and as a reference book for an advanced numerical-functional analysis or computer science course. The goal is to introduce these powerful concepts and techniques at the earliest possible stage. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, with optimization and weakening of existing hypotheses considerations each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem"--
Mode of access: World Wide Web
9781466517110 (ebook : PDF)
Numerical functions
Functional analysis
Electronic books.