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Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic
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Book Synopsis KWIC Index for Numerical Algebra by : Alston Scott Householder
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithms for Computer Algebra by : Keith O. Geddes
Download or read book Algorithms for Computer Algebra written by Keith O. Geddes and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
Download or read book Research in Progress written by and published by . This book was released on 1971 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Survey of Numerical Mathematics by : David M. Young
Download or read book A Survey of Numerical Mathematics written by David M. Young and published by Courier Corporation. This book was released on 1988-01-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of two-volume set offers broad self-contained coverage of computer-oriented numerical algorithms for solving mathematical problems related to linear algebra, ordinary and partial differential equations, and much more. 1972 edition.
Book Synopsis Collected Algorithms from ACM by : Association for Computing Machinery
Download or read book Collected Algorithms from ACM written by Association for Computing Machinery and published by . This book was released on 1980 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research & Development Reports by :
Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1969-10 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collected Algorithms from ACM. written by and published by . This book was released on 1980 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Algebra written by James E. Gentle and published by Springer. This book was released on 2017-10-12 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.
Book Synopsis Methods and Applications of Error-Free Computation by : R. T. Gregory
Download or read book Methods and Applications of Error-Free Computation written by R. T. Gregory and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-free com putation can be applied in practice. The book is intended for seniors and first year graduate students in fields of study involving scientific computation using digital computers, and for researchers (in those same fields) who wish to obtain an introduction to the subject. We are motivated by the fact that there are large classes of ill-conditioned problems, and there are numerically unstable algorithms, and in either or both of these situations we cannot tolerate rounding errors during the numerical computations involved in obtaining solutions to the problems. Thus, it is important to study finite number systems for digital computers which have the property that computation can be performed free of rounding errors. In Chapter I we discuss single-modulus and multiple-modulus residue number systems and arithmetic in these systems, where the operands may be either integers or rational numbers. In Chapter II we discuss finite-segment p-adic number systems and their relationship to the p-adic numbers of Hensel [1908]. Each rational number in a certain finite set is assigned a unique Hensel code and arithmetic operations using Hensel codes as operands is mathe matically equivalent to those same arithmetic operations using the cor responding rational numbers as operands. Finite-segment p-adic arithmetic shares with residue arithmetic the property that it is free of rounding errors.
Book Synopsis Bibliography of Scientific and Industrial Reports by :
Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1970 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Linear Algebra for Applications in Statistics by : James E. Gentle
Download or read book Numerical Linear Algebra for Applications in Statistics written by James E. Gentle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, factorisations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for a first course in statistical computing or as supplementary text for various courses that emphasise computations.
Book Synopsis A Survey of Numerical Mathematics by : David M. Young, Robert Todd Gregory
Download or read book A Survey of Numerical Mathematics written by David M. Young, Robert Todd Gregory and published by . This book was released on 1973 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1969 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government Reports Index written by and published by . This book was released on 1970 with total page 1144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research and Development Reports Index by :
Download or read book U.S. Government Research and Development Reports Index written by and published by . This book was released on 1970 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Mathematics written by and published by . This book was released on 1979 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: