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We estimate a lower bound for the number of real roots of a random alegebraic equation whose random coeffcients are dependent normal random variables. Copyright © 2007 Takashi Uno. This is an open access article distributed under the Cre-ative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
We study the expected number of real roots of the random equation gl cosO + g2 cos20 +... + gn cosnO...
We estimate a lower bound of the number of real roots of a random algebraic equation whose random co...
We estimate the upper bound of the number of positive roots of a random algebraic equation whose ran...
AbstractWe obtain bounds as a function ofn, for the number of real solutions of the random algebraic...
Real polynomials have very often very few real roots, and when algorithms depend on the number of re...
A random algebraic polynomial of degree $n $ is of the form $F_{n}(X, \omega)=k=0\sum a_{k(\omega}n)...
SIGLEAvailable from British Library Document Supply Centre-DSC:DX207160 / BLDSC - British Library Do...
The mean number of roots of a multihomogeneous system of polynomial equations (with respect to a nat...
AbstractThis paper, for any constantK, provides an exact formula for the average density of the dist...
The methods of Shub and Smale [SS93] are extended to the class of multihomogeneous systems of polyn...
AbstractSuppose that the n + 1 coefficients of a polynomial of degree n are independent normally dis...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
The methods of Shub and Smale [SS93] are extended to the class of multihomogeneous systems of polyno...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
We study the expected number of real roots of the random equation gl cosO + g2 cos20 +... + gn cosnO...
We estimate a lower bound of the number of real roots of a random algebraic equation whose random co...
We estimate the upper bound of the number of positive roots of a random algebraic equation whose ran...
AbstractWe obtain bounds as a function ofn, for the number of real solutions of the random algebraic...
Real polynomials have very often very few real roots, and when algorithms depend on the number of re...
A random algebraic polynomial of degree $n $ is of the form $F_{n}(X, \omega)=k=0\sum a_{k(\omega}n)...
SIGLEAvailable from British Library Document Supply Centre-DSC:DX207160 / BLDSC - British Library Do...
The mean number of roots of a multihomogeneous system of polynomial equations (with respect to a nat...
AbstractThis paper, for any constantK, provides an exact formula for the average density of the dist...
The methods of Shub and Smale [SS93] are extended to the class of multihomogeneous systems of polyn...
AbstractSuppose that the n + 1 coefficients of a polynomial of degree n are independent normally dis...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
The methods of Shub and Smale [SS93] are extended to the class of multihomogeneous systems of polyno...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
We study the expected number of real roots of the random equation gl cosO + g2 cos20 +... + gn cosnO...
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