TY - BOOK ID - 5512995 TI - Computational theory of iterative methods PY - 2007 VL - 15 SN - 1281189189 9786611189181 0080560709 0444531629 9780444531629 9780080560700 9781281189189 6611189181 PB - Amsterdam London Elsevier DB - UniCat KW - Funktionalanalysis. KW - Iteration. KW - Iterative methods (Mathematics). KW - Lehrbuch. KW - Numerische Mathematik. KW - Iterative methods (Mathematics) KW - Engineering & Applied Sciences KW - Applied Mathematics KW - Numerical analysis. KW - Mathematical analysis KW - Iteration (Mathematics) KW - Numerical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:5512995 AB - The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type ER -