Tuesday 9 September 2008

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 28-182
Full Name: MURESAN ALEXE CALIN
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Str. Democracy, City Ploiesti, District Prahova
Country: ROMANIA
Tel: 40344104184 or 40730038822
Tel prefix: 40344
Fax:
E-mail address: acmuresan@upg-ploiesti.ro
Other E-mails: tzitzadee@yahoo.com
Title of the Paper: The Polynomial Roots Repartition And Minimum Roots Separation
Authors as they appear in the Paper: MURESAN ALEXE CALIN
Email addresses of all the authors: acmuresan@yahoo.com
Number of paper pages: 12
Abstract: It is known that, if all the roots of a polynomial are real, they can be localised, using a set of intervals, which contain the arithmetic average of the roots. The aim of this paper is to present an original method for giving other distributions of the roots/ modules of the roots on real axis, a method for evaluating and improving the “polynomial minimum root separation” results, a method for the complex polynomials and for polynomials having all roots real. We use the discriminant, Hadamard’s inequality, Mahler’s measure and new original inequalities. Also we will make some considerations about the cost for isolate the polynomial real roots. Our method is based on the successive splitting for the interval which contains all roots.
Keywords: Roots repartition, Isolating the roots, Mahler’s measure
EXTENSION of the file: .doc
Special (Invited) Session: Isolating the Polynomial Roots with all Zeros Real
Organizer of the Session: 591-937
How Did you learn about congress: Prof. dr. Simian Dana; d_simian@yahoo.com
IP ADDRESS: 212.116.219.160