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Algorithmic Algebra

B. Mishra. Algorithmic Algebra. Series: Monographs in Computer Science. Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate ...


GiNaCRA: A C++ Library for Real Algebraic Computations

Although those computer algebra systems are frequently used and well-suited to solve a wide range of problems, they ... In addition, an algorithm finding the common real roots of a set of univariate polynomials with rational coefficients is ..... 14. Mishra, B.: Algorithmic Algebra. Texts and Monographs in Computer Science,.


Curriculum Vitae Personal Scholastic Record

Jun 3, 2017 ... Books and Monographs (Authored & Coauthored). [1] Genomics: The Science and Technology Beyond the Human Genome Project,. (with C. Cantor), 2014 ( Tentative). [2] Algorithmic Algebra,. In Texts and Monographs in Computer Science Series, Springer-Verlag, New York, 1993. XIV,. 416 pp., 9 illus.


Hardware Acceleration Technologies in Computer Algebra

Hardware Acceleration Technologies in Computer Algebra: Challenges and Impact. (Thesis format: Monograph) by. Sardar Anisul Haque. Graduate Program in. Computer Science. A thesis submitted in partial fulfillment of the requirements for the degree of. Doctor of Philosophy. The School of Graduate and Postdoctoral  ...



H. Reichel: Initial Computability, Algebraic Specifications, ... (International series of monographs on computer science). Bibliography: p. Includes .... art gallery theorem and related algorithmic issues. 1.2. THE ORIGINAL ART GALLERY THEOREM AND. ALGORITHM. 1.2.1. The Theorem. Problem Definition. A polygon P is ...


Lx = b Laplacian Solvers and Their Algorithmic Applications

such as optimization, scientific computing, and computer science and, traditionally, has been a central topic of research in numerical linear algebra. Consider a .... ments which helped improve the presentation of the material in this monograph. Bangalore. Nisheeth K. Vishnoi. 15 January 2013. Microsoft Research India ...


SqFreeEVAL: An (almost) optimal real-root isolation algorithm

The complexity analysis of adaptive algorithms (and this algorithm in particular) is a new challenge for computer science. In this paper, we .... B.F. Caviness, J.R. Johnson (Eds.), Quantifier Elimination and Cylindrical Algebraic Decomposition, Texts and monographs in Symbolic Computation, Springer (1998), pp. 269-299.


Subtropical Real Root Finding

Jan 20, 2015 ... bining the computer algebra system Reduce with the linear programming solver Gurobi has been ... biology, which are originally given by systems of ordinary differential equations. Hopf bifurcations can ... We have implemented our algorithm in Reduce [16] using direct function calls to the dynamic library of ...


On the Computability of the Topological Entropy of Subshifts

Algorithmic Algebra. Texts and Monographs in Computer Science. Springer- Verlag,. 1993. [15] H. Rogers Jr. Theory of Recursive Functions and Effective Computability. The MIT Press, paperback edition, 1987. [16] L. Staiger. Kolmogorov complexity and hausdorff dimension. Information and Computation,. 103:159–194 ...


Monographs in Computer Science and Computer Applications NQ 1

Series: Monographs in Computer Science and Computer Applications. NQ 1/74. PATTERN MATCHING FOR STRUCTURED PROGRAMMING by. A. L. Furtado and. A.. S`` Pfeffer. Computer Science Department - Rio Datacenter. Pontifícia .... case of failure . The V'matching algorithm. takes care of bachtracking and.


Chordal Deletion is Fixed-Parameter Tractable | SpringerLink

Here we present a uniformly polynomial-time algorithm for both problems: the running time is f(k)⋅nα for some constant α not depending on k and some f depending only on k. For large values of ... This answers an open question of Cai (Discrete Appl. Math. 127:415–429 ... Monographs in Computer Science. Springer, New ...


AV Aho, JE Hopcroft, and JD Ullman. The Design and Analysis of Com

Part I: the algebra. G[u]/(Q(u)Ý). [22] A. Averbuch, Z. Galil, and S. Winograd. Classification of all the minimal bilinear algorithms for computing the coefficients of the product of ...... Monographs. American Mathematical Society, 1991. [298] J.H. Kingston. Algorithms and Data Structures. International Computer. Science Series.


A worst-case bound for topology computation of algebraic curves

Berberich et al., 2010. E. Berberich, M. Kerber, M. SagraloffAn efficient algorithm for the stratification and triangulation of algebraic surfaces ... B.~F. Caviness, J.~ R. Johnson (Eds.), Quantifier Elimination and Cylindrical Algebraic Decomposition, Texts and Monographs in Symbolic Computation, Springer (1998 ). Cheng et al.


Unconventional Algorithms: Complementarity of Axiomatics and

Oct 25, 2012 ... Department of Computer Science and Networks, School of Innovation, Design and Engineering. Mälardalen University ... Los Angeles, CA 90095, USA;. E-Mail: [email protected] (M.B.) ... novel algorithms and algorithmic schemas, unconventional computations and nature-inspired. OPEN ACCESS ...


Computability and Complexity

Algebraic Semantics of Imperative Programs, Joseph A. Goguen and Grant Malcolm, 1996. Algorithmic Number Theory, Volume I: Efficient Algorithms, Eric Bach and Jeffrey Shallit,. 1996. Foundations for .... Unlike most fields within computer science, computability and complexity theory deals with analysis as much as with ...


Quasi-steady state – Intuition, perturbation theory and algorithmic

QSS represents a very fitting example for “algebraic biology”. We will survey some recent work (mostly .... work on algorithmic algebra aspects of quasi-steady state phenomena and re- duction; one should, however, mention ... tails see the monograph by Verhulst [37]; Theorem 8.1). We specialize it to smooth autonomous ...


Equality in Computer Algebra and Beyond

Department of Computer Science, University of Bath, Bath BA2 7AY, U.K. ... back to 1953, the first real discussion of the meaning of equality in computer algebra ... algorithm. Another problem arises when we build algebraic structures hierarchically (Davenport and Trager, 1990). Every field is actually a greatest common ...


Sketching as a Tool for Numerical Linear Algebra

linear algebra that have come from the technique of linear sketching, whereby given a matrix, one first compresses ... Numerical Linear Algebra. Foundations and TrendsR in Theoretical Computer Science, vol. ..... way to solve least squares regression, leading to an algorithm with only a logarithmic dependence on the error ...


David Gries Fred Schneider

Texts and Monographs in Computer Science. Editors ... Michael A. Arbib, A.J. Kfoury, and Robert N. Moll, A Basis for Theoretical. Computer Science. Friedrich L. Bauer and Hans W6ssner, Algorithmic Language and Program. Development ... David Gries and Fred B. Schneider, A Logical Approach to Discrete Math.


A Subresultant Theory for Ore Polynomials with Applications1)

Algorithmic Algebra, Texts and Monographs in Computer Science, Gries D. and. Schneider F.B. (eds.) Springer-Verlag. 1993. [11] O. Ore. Theory of Non- Commutative Polynomials, Annals of Math 34 pp. 480-508, 1933. [12] O. Perron. Algebra I die Grundlagen, Berlin: de Gruyter & Co., 1951. [13] C.M. Rubald. Algorithms for ...