From the Preface (1964): ``This book presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. The relationship between the quantity and the quality of information used by an algorithm and the efficiency of the algorithm is investigated. Iteration functions are divided into four classes depending on whether they use new information at one or at several points and whether or not they reuse old information. Known iteration functions are systematized and new classes of computationally effective iteration functions are introduced. Our interest in the efficient use of information is influenced by the widespread use of computing machines ... The mathematical foundations of our subject are treated with rigor, but rigor in itself is not the main object. Some of the material is of wider application ... Most of the material is new and unpublished. Every attempt has been made to keep the subject in proper historical perspective ... ''

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American Mathematical Society, United States
(1997)

ISBN 10: 0828403120
ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, United States, 1997. Hardback. Book Condition: New. New edition. Language: English . Brand New Book. From the Preface (1964): This book presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. The relationship between the quantity and the quality of information used by an algorithm and the efficiency of the algorithm is investigated. Iteration functions are divided into four classes depending on whether they use new information at one or at several points and whether or not they reuse old information. Known iteration functions are systematized and new classes of computationally effective iteration functions are introduced. Our interest in the efficient use of information is influenced by the widespread use of computing machines.The mathematical foundations of our subject are treated with rigor, but rigor in itself is not the main object. Some of the material is of wider application.Most of the material is new and unpublished. Every attempt has been made to keep the subject in proper historical perspective. Bookseller Inventory # AAN9780828403122

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Published by
American Mathematical Society, United States
(1997)

ISBN 10: 0828403120
ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, United States, 1997. Hardback. Book Condition: New. New edition. Language: English . Brand New Book. From the Preface (1964): This book presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. The relationship between the quantity and the quality of information used by an algorithm and the efficiency of the algorithm is investigated. Iteration functions are divided into four classes depending on whether they use new information at one or at several points and whether or not they reuse old information. Known iteration functions are systematized and new classes of computationally effective iteration functions are introduced. Our interest in the efficient use of information is influenced by the widespread use of computing machines.The mathematical foundations of our subject are treated with rigor, but rigor in itself is not the main object. Some of the material is of wider application.Most of the material is new and unpublished. Every attempt has been made to keep the subject in proper historical perspective. Bookseller Inventory # AAN9780828403122

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Published by
American Mathematical Society
(1982)

ISBN 10: 0828403120
ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, 1982. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780828403122

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Published by
American Mathematical Society
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**Book Description **American Mathematical Society, 1982. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110828403120

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Published by
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ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, 1982. Hardback. Book Condition: NEW. 9780828403122 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0631395

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Published by
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ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, 1982. Hardcover. Book Condition: New. book. Bookseller Inventory # M0828403120

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**Book Description **Chelsea Pub Co, 1999. Hardcover. Book Condition: Brand New. 310 pages. 9.75x6.25x0.75 inches. In Stock. Bookseller Inventory # __0828403120

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Published by
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ISBN 13: 9780828403122

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**Book Description **American Mathematical Society, 1982. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0828403120

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