Titlebook: Symbolic and Algebraic Computation; International Sympos P. Gianni Conference proceedings 1989 Springer-Verlag Berlin Heidelberg 1989 Autom

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Rational Newton algorithm for computing formal solutions of linear differential equations,In this paper we present a new algorithm for solving linear differential equations in the neighbourhood of an irregular singular point. This algorithm is based upon the same principles as Newton algorithm, however it has a lower cost and is more suitable for computing algebra.

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Symbolic and Algebraic Computation978-3-540-46153-1Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Discovering inequality conditions in the analytical solution of optimization problems,f the artificial variables known as Lagrange multipliers can be eliminated. This paper describes an automated reasoning program that assists in the solution process. The program may also be useful for other problems involving algebraic reasoning with inequalities.

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Solving systems of algebraic equations,roposed by the authors for the case where the ideal is zero-dimensional and radical seems to have practical efficiency. We present a new method for solving systems which are not necessarily radical. The set of all solutions is partitioned into subsets each of which consists of mutually conjugate solutions having the same multiplicity.

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