In comparison with the Shur-Kon criterion, the number of determinants is halved.doi:10.1007/BF01093620G.F.KorsakovKluwer Academic Publishers-Plenum PublishersMathematical NotesG. F. Korsakov, “On the number of roots of a polynomial outside the circle,” Matem. Zametki, 13 , No. 1, 3–12...
The number of roots of a lacunary bivariate polynomial on a line. Journal of Symbolic Computation, 44(9):1280 - 1284, 2009.Avendan˜o, Mart´in, "The number of roots of a lacunary bivariate polynomial on a line," J. Symb. Comp. 44 (2009), pp. 1280-1284....
The degree of a polynomial function identifies the number of roots that it will have. However, not all of the roots of the function have to be real roots. It is possible that some of the roots will be imaginary.Consider the two functions that follow to answer the given questions. Answer...
The expected number of real projective roots of orthogonally invariant random homogeneous real polynomial systems is known to be equal to the square root of the Bézout number. A similar result is known for random multi-homogeneous systems, invariant through a product of orthogonal groups. In this...
Local universality for real roots of random trigonometric polynomials Consider a random trigonometric polynomial $X_n: \\mathbb R \\to \\mathbb R$ ofthe form $$ X_n(t) = \\sum_{k=1}^n \\left( \\xi_k \\sin (kt) + \\eta_k \\cos... A Iksanov,Z Kabluchko,A Marynych - ...
Polynomial root-findingWinding numberIn this paper, we propose a novel efficient algorithm for calculating winding numbers, aiming at counting the number of roots of a given polynomial in a convex region on the complex plane. This algorithm can be used for counting and exclusion tests in a ...
Let f (z) be a nonzero complex univariate polynomial and let R be a rectangle in the complex plane. The number of complex roots of f (z) inside R is given by the winding number of f (z) on R if f (z) has no roots on the boundary of R. In this pap...
for the polynomial , the number of roots which lie in the right half of the S-plane is 提示:首列为零是一种特殊情况,参考教材的解决方法。A.4B.2C.3D.1的答案是什么.用刷刷题APP,拍照搜索答疑.刷刷题(shuashuati.com)是专业的大学职业搜题找答案,刷题练习的工具.一键
On the Variance of the Number of Real Roots of Random Polynomials 来自 Semantic Scholar 喜欢 0 阅读量: 42 作者: NB Maslova 摘要: Let be a sequence of independent identically distributed random variables, be the number of real roots of the polynomial . The main result is {em If , ,...
An Optimal Condition for Determining the Exact Number of Roots of a Polynomial System Summary: It was shown by {\\it D. N. Bernshtein} [Funkts. Anal. Prilozh. 9, No. 3, 1-4 (1975; Zbl 0328.32001)] that the number of roots in $({\\bbfC}^*)^n$... JF Canny,JM Rojas - DB...