Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic
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Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic
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Author : Jo Ann Shaw Howell
language : en
Publisher:
Release Date : 1969
Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic written by Jo Ann Shaw Howell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Equations, Simultaneous categories.
Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic
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Author : Jo Ann Shaw Howell
language : en
Publisher:
Release Date : 1969
Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic written by Jo Ann Shaw Howell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Algebras, Linear categories.
The report contains a summary of the basic theorems from the theory of numbers relative to residue arithmetic. Analogous theorems for residue matrix arithmetic are proved and a complete algorithm for solving systems of linear algebraic equations using residue arithmetic is presented. Numerical results demonstrate the computational feasibility of the algorithm. (Author).
Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic
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Author : JO A. HOWELL
language : en
Publisher:
Release Date : 1984
Solving Systems Of Linear Algebraic Equations Using Residue Arithmetic written by JO A. HOWELL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Algorithms For Computer Algebra
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Author : Keith O. Geddes
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-30
Algorithms For Computer Algebra written by Keith O. Geddes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-30 with Computers categories.
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.
A Survey Of Numerical Mathematics
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Author : David M. Young
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01
A Survey Of Numerical Mathematics written by David M. Young and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
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.
U S Government Research Development Reports
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Author :
language : en
Publisher:
Release Date : 1969-10
U S Government Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969-10 with Science categories.
Research In Progress
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Author :
language : en
Publisher:
Release Date : 1971
Research In Progress written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Military research categories.
Kwic Index For Numerical Algebra
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Author : Alston Scott Householder
language : en
Publisher:
Release Date : 1972
Kwic Index For Numerical Algebra written by Alston Scott Householder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebra categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1988
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Aeronautics categories.
Methods And Applications Of Error Free Computation
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Author : R. T. Gregory
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods And Applications Of Error Free Computation written by R. T. Gregory and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.