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High probability analysis of the condition number of sparse polynomial systems

✍ Scribed by Gregorio Malajovich; J.Maurice Rojas


Book ID
108280918
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
383 KB
Volume
315
Category
Article
ISSN
0304-3975

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On the Number of Solutions of Polynomial
✍ M. Boguslavsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 247 KB

We consider systems of homogenous polynomial equations of degree d in a projective space ‫ސ‬ m over a finite field ‫ކ‬ q . We attempt to determine the maximum possible number of solutions of such systems. The complete answer for the case r ϭ 2, d Ͻ q Ϫ 1 is given, as well as new conjectures about th