scholarly journals Determining the number of real roots of polynomials through neural networks

2006 ◽  
Vol 51 (3-4) ◽  
pp. 527-536 ◽  
Author(s):  
B. Mourrain ◽  
N.G. Pavlidis ◽  
D.K. Tasoulis ◽  
M.N. Vrahatis
Keyword(s):  
Neural Networks ◽  
Real Roots ◽  
Roots Of Polynomials ◽  
Number Of Real Roots

scholarly journals On the number of real roots of polynomials

1982 ◽  
Vol 102 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Thomas Craven ◽  
George Csordas
Keyword(s):  
Real Roots ◽  
Roots Of Polynomials ◽  
Number Of Real Roots

scholarly journals On the Lower Bound for the Number of Real Roots of a Random Algebraic Equation

2007 ◽  
Vol 2007 ◽  
pp. 1-8
Author(s):  
Takashi Uno
Keyword(s):  
Lower Bound ◽  
Algebraic Equation ◽  
Random Variables ◽  
Real Roots ◽  
Number Of Real Roots

We estimate a lower bound for the number of real roots of a random alegebraic equation whose random coeffcients are dependent normal random variables.

scholarly journals Asymptotic variance of the number of real roots of random polynomial systems

2018 ◽  
Vol 146 (12) ◽  
pp. 5437-5449 ◽  
Author(s):  
D. Armentano ◽  
J-M. Azaïs ◽  
F. Dalmao ◽  
J. R. León
Keyword(s):  
Asymptotic Variance ◽  
Polynomial Systems ◽  
Random Polynomial ◽  
Real Roots ◽  
Number Of Real Roots
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