Algebraic Systems Of Equations And Computational Complexity Theory
Download Algebraic Systems Of Equations And Computational Complexity Theory full books in PDF, epub, and Kindle. Read online free Algebraic Systems Of Equations And Computational Complexity Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Zeke Wang |
Publisher | : |
Total Pages | : 264 |
Release | : 1994 |
Genre | : Computers |
ISBN | : |
Significant progress has been made during the last 15 years in the solution of nonlinear systems, particularly in computing fixed points, solving systems of nonlinear equations and applications to equilibrium models.
Author | : Z. Wang |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2014-01-14 |
Genre | : Mathematics |
ISBN | : 9789401107969 |
Author | : Z. Wang |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 2012-10-14 |
Genre | : Mathematics |
ISBN | : 9789401043427 |
One service methematics has rendered 'Et moi, ... , si j'avait su comment en revenir, je n'y serais point alle.' the human race. It has put common sense JulesVerne back where it belongs, on the topmost shelf next to the dusty canister labelled The series is divergent; therefore we may 'discarded nonsecse'. be able to do something with it. Eric T. Bell O.Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered computer science ... '; 'One service category theory has rendered mathematics ... '. All arguable true. And all statements obtainable this way form part of the raison d'etre of this series.
Author | : Przemysław Broniek |
Publisher | : Springer |
Total Pages | : 70 |
Release | : 2015-07-24 |
Genre | : Computers |
ISBN | : 331921750X |
This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(A) and SysPolSat(A), in which equations are built out of terms or polynomials, respectively. The book characterizes those algebras for which SysPolSat can be solved in a polynomial time. So far, studies and their outcomes have not covered algebras that generate a variety admitting type 1 in the sense of Tame Congruence Theory. Since unary algebras admit only type 1, this book focuses on these algebras to tackle the main problem. It discusses several aspects of unary algebras and proves that the Constraint Satisfaction Problem for relational structures is polynomially equivalent to SysTermSat over unary algebras. The book’s final chapters discuss partial characterizations, present conclusions, and describe the problems that are still open.
Author | : Peter Bürgisser |
Publisher | : Springer Science & Business Media |
Total Pages | : 630 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662033380 |
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.
Author | : Allan Borodin |
Publisher | : Elsevier Publishing Company |
Total Pages | : 198 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Author | : Wolmer Vasconcelos |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2004-05-18 |
Genre | : Mathematics |
ISBN | : 9783540213116 |
This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.
Author | : Hari Krishna |
Publisher | : Springer |
Total Pages | : 194 |
Release | : 1987 |
Genre | : Computers |
ISBN | : |
Author | : Ding-Zhu Du |
Publisher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2013-12-01 |
Genre | : Computers |
ISBN | : 1461333946 |
This book contains a collection of survey papers in the areas of algorithms, lan guages and complexity, the three areas in which Professor Ronald V. Book has made significant contributions. As a fonner student and a co-author who have been influenced by him directly, we would like to dedicate this book to Professor Ronald V. Book to honor and celebrate his sixtieth birthday. Professor Book initiated his brilliant academic career in 1958, graduating from Grinnell College with a Bachelor of Arts degree. He obtained a Master of Arts in Teaching degree in 1960 and a Master of Arts degree in 1964 both from Wesleyan University, and a Doctor of Philosophy degree from Harvard University in 1969, under the guidance of Professor Sheila A. Greibach. Professor Book's research in discrete mathematics and theoretical com puter science is reflected in more than 150 scientific publications. These works have made a strong impact on the development of several areas of theoretical computer science. A more detailed summary of his scientific research appears in this volume separately.
Author | : Peter Bürgisser |
Publisher | : Springer Science & Business Media |
Total Pages | : 658 |
Release | : 1996-12-16 |
Genre | : Mathematics |
ISBN | : 9783540605829 |
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.