Preface. 1. Introduction to Computer Algebra. 2. Algebra of Polynomials, Rational Functions, and Power Series. 3. Normal Forms and Algebraic Representations. 4. Homomorphisms and Chinese Remainder Algorithms. 5. Integration of Rational Functions.Expand

Many nonlinear option pricing problems can be formulated as optimal control problems, leading to Hamilton-Jacobi-Bellman (HJB) or Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations. We show that such… Expand

The fair price for an American option where the underlying asset follows a jump diffusion process can be formulated as a partial integral differential linear complementarity problem.Expand

Recently, a uniform approach was given by B. Beckermann and G. Labahn [Numer. Algorithms, 3 (1992), pp. 45-54] for different concepts of matrix-type Pade approximants, such as descriptions of vector… Expand

In this introduction we first give a working definition of computer algebra. We then describe the organization of research activities in this field. Finally the overall structure and the intention of… Expand

This paper presents a new algorithm for computing the Hermite normal form H of an A Z n m of rank m to gether with a unimodular pre multiplier matrix U such that it produces both H and a candidate for U.Expand

We present a new approach for parsing two-dimensional input using relational grammars and fuzzy sets, and introduce new ideas such as relational classes and interchangeability.Expand