Neural networks with problem decomposition for finding real roots of polynomials

2005 ◽  
Author(s):  
De-Shuang Huang ◽  
Zheru Chi
Keyword(s):  
Neural Networks ◽  
Problem Decomposition ◽  
Real Roots ◽  
Roots Of Polynomials

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

Real roots of polynomials and right inverses for partial differential operators in the space of tempered distributions

1990 ◽  
Vol 114 (3-4) ◽  
pp. 169-179 ◽  
Author(s):  
Michael Langenbruch
Keyword(s):  
Differential Operators ◽  
Partial Differential Operator ◽  
Continuous Linear ◽  
Real Polynomial ◽  
Partial Differential ◽  
Tempered Distributions ◽  
Real Roots ◽  
Partial Differential Operators ◽  
Constant Coefficients ◽  
Roots Of Polynomials

SynopsisLet P(D) be a partial differential operator with constant coefficients. If P(D) has a continuous linear right inverse in the space of tempered distributions, then P is the product of a polynomial without real roots and a real polynomial admitting a right inverse. If the polynomial P is real and irreducible, then P(D) admits a right inverse in the tempered distributions if and only if P(×) has the property of zeros of R. Thorn.

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

Finding all real roots of 3×3 nonlinear algebraic systems using neural networks

2013 ◽  
Vol 219 (9) ◽  
pp. 4444-4464 ◽  
Author(s):  
Konstantinos Goulianas ◽  
Athanasios Margaris ◽  
Miltiades Adamopoulos
Keyword(s):  
Neural Networks ◽  
Algebraic Systems ◽  
Real Roots ◽  
Nonlinear Algebraic Systems
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