real roots of a polynomialapproximate real rootThe topological complexity of an algorithm is the number of its branchings. In the paper we prove that the minimal topological complexity of an algorithm that approximately computes a root of a real polynomial of degree d equals d /2 for even d ...
2) polynomial rooting 多项式求根 1. A fast algorithm was proposed to reduce the computational complexity of polynomial rooting based music-like method under small frequency offset conditions. 针对利用多项式求根实现类music算法时计算量过高的缺点,提出一种适用于小频偏情况下的快速算法。 更多例句>> 3)...
This is an important step to establish the expected number of roots. It is also known that if we replace X0 by 1 and a0 by d−a1−…−an, the expected number of real roots remains the same. Rojas [10] generalized this result to systems of multi-homogeneous polynomial equations, ...
If is a factor of the polynomial p, then c is a root of p. We can find the real roots of polynomial p by finding all the factors of p. Example: p=x2+3x+2=. Two real roots of p are -1 and -2. Remember: To find if c is a root of p, evaluate p and check if p=0....
新版GRE数学复习重要考点：Finding Real Roots If (x-c) is a factor of the polynomial p(x), then c is a root of p(x).We can find the real roots of polynomial p(x) by finding all the factors of p(x).Example:p(x)=x2+3x+2=(x+1)(x+2). Two real roots of p(x...
definition of a random polynomial”. In the literature, they are sometimes called SO(2) random polynomials because their m-point joint probability distribution of zeros is SO(2) invariant for all m [20]. We will show below that the gap probabilities for these classes of random polynomials...
A method with polynomial computing time bound is presented for the approximation of real roots of polynomial equations using continued fractions; it is based on an idea by Lagrange [10] and Vincent's theorem [17], and it has been implemented using exact (infinite precision) integer arithmetic ...
1) real polynomial 实系数多项式例句>> 2) roots of polynomials with real coefficients 实系数多项式的根3) multinomial coefficient 多项式系数 例句>> 4) real polynomial variable function 实变多项式函数5) unitary real parameter function 一元n次实系数多项式函数 1. Bezier curve absolutely equaling ...
Real algebraic numbers and polynomial systems of small degree ⋆ sequences, discriminants and invariants, in order to classify, isolate with rational points, and compare the real roots of polynomials of degree up to 4... IZ Emiris,EP Tsigaridas - 《Theoretical Computer Science》 被引量: 21...
ON THE EXPECTED NUMBER OF REAL ROOTS OF A SYSTEM OF RANDOM POLYNOMIAL EQUATIONS We unify and generalize several known results about systems of random polynomials. We first classify all orthogonally invariant normal measures for spaces of polynomial mappings. For each such measure we calculate the ...