Information processing method

Details Information processing method Information processing method

1996-12-23

2000-03-07

Moise, Emmanuel L.

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

708 3, 708 9, 708802, 712220, G06F 738

Patent

active

060353147

ABSTRACT:
The reliability of solutions of simultaneous algebraic equations with integral coefficients is improved and high-speed information processing is realized. A method processes information wherein, in a model in which restrictions among parameters are given by simultaneous algebraic equations with integral coefficients, when the simultaneous equations have only a finite number of solutions, zero points of a polynomial set F with integral coefficients, which represents the simultaneous equations and is described in a memory, are represented by rational expressions based on zero points of a one-variable polynomial regarding one variable so that the information is represented using the representation of rational expression. The method processes information by choosing a term order, calculates a Grobner basis, calculates a minimum polynomial f1, and controls a digital processor to find solutions represented by rational expressions.

REFERENCES:
patent: 5142579 (1992-08-01), Anderson
patent: 5263085 (1993-11-01), Shamir
patent: 5678055 (1997-10-01), Noro

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