**One close experience**

FRISCO: A FRamework for Integrated Symbolic/Numeric COmputation (ESPRIT 1996-99)

The Consortium: NAG Ltd (Oxford, UK), U. Cantabria (Spain), U. Pisa (Italy),

U. Rennes I, INRIA Sophia-Antipolis (France)

L. Gonz‡lez-Vega

Questionnaire to Industries + Open Workshop (Barcelona, fall 96):

The Needs of Industry on Polynomial System Solving.

¥Info about the corporation itself

¥How does the polynomial system appear?

¥What kind of system is it (number of variables, coefficient type, etc...)?

¥What kind of solutions are looked for?

¥When has it to be solved (real time, off-line, etc...)?

__Info about the corporation itself__

Contacted---Answered---Attended

Contacted (more than 60):

EDF, Alcatel, FIAT, REIS, Daimler Benz, VW, PEGOP, TECNATOM, CANDEMAT, SIMULOG, CASA, APIA XXI, LABEIN,...

Answered: around a dozen (mostly spanish, also EDF, CCETT, PEGOP, REIS ROBOTICS,etc...)

Attended: about half dozen!!!

__The polynomial system__

Generated by means of standard Symbolic/Numeric software

Usually same number of equations and of unknowns (from 16 to several thousands)

Quite sparse, but because of presentation

Low degree, two or three

Real numbers, Z_3, exact rational numbers

Parameters are first specialized

__Solutions__

¥Real solutions, 10^-7 accuracy, both on or off-line

¥If problems arise (for Newton-like methods) the mathematical model is simplified.

¥Usually, parametric solutions have not been regarded (but it would be wellcome, in principle).