Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Complex conjugate root theorem"'
Publikováno v:
Fu, T, Jiang, B & Li, Z 2018, ' Approximation algorithms for optimization of real-valued general conjugate complex forms ', Journal of Global Optimization, vol. 70, no. 1, pp. 99-130 . https://doi.org/10.1007/s10898-017-0561-6
Complex polynomial optimization has recently gained more attention in both theory and practice. In this paper, we study optimization of a real-valued general conjugate complex form over various popular constraint sets including the m-th roots of comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e14e07a826cc1f93da8ffa79f4b320e
https://researchportal.port.ac.uk/ws/files/7709772/conjugate_ratio.pdf
https://researchportal.port.ac.uk/ws/files/7709772/conjugate_ratio.pdf
Autor:
Artūras Dubickas
Publikováno v:
Glasnik matematički
Volume 52
Issue 2
Volume 52
Issue 2
Let α be an algebraic number of degree d ≥ 2 over Q. Suppose for some pairwise coprime positive integers n1,… ,nr we have deg(αnj) < d for j=1,…,r, where deg(αn)=d for each positive proper divisor n of nj. We prove that then φ(n1 … nr)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e30596c5bc7764ededc37bba40e0df3
https://hrcak.srce.hr/file/278921
https://hrcak.srce.hr/file/278921
Autor:
Paul W. Eloe, Jeffrey T. Neugebauer
Publikováno v:
Fractional Calculus and Applied Analysis. 17:855-871
Let b > 0. Let 1 < α ≤ 2. The theory of u 0-positive operators with respect to a cone in a Banach space is applied to study the conjugate boundary value problem for Riemann-Liouville fractional linear differential equations D 0+ u + λp(t)u = 0, 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fc978bc70d92eea53d5f4f05fa7f9bd
https://doi.org/10.2478/s13540-014-0201-5
https://doi.org/10.2478/s13540-014-0201-5
Autor:
Sadulla Z. Jafarov
Publikováno v:
Journal of Mathematical Inequalities. :271-281
We investigate the approximation of a conjugate function by the Fejér sums of the Fourier series of the conjugate function and obtain the estimate between the derivatives of the conjugate functions and the derivatives of the conjugate trigonometric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2883b79e47e3b69c869850643cd1e6a
https://doi.org/10.7153/jmi-07-25
https://doi.org/10.7153/jmi-07-25
Publikováno v:
ISSAC
Let $F(z)$ be an arbitrary complex polynomial. We introduce the local root clustering problem, to compute a set of natural $\varepsilon$-clusters of roots of $F(z)$ in some box region $B_0$ in the complex plane. This may be viewed as an extension of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e434bc54ef8855a9ebdd4f908e6d5a1
https://doi.org/10.1145/2930889.2930939
https://doi.org/10.1145/2930889.2930939
Autor:
Mohamed Elkadi, André Galligo
Specifying the bidegrees (n, m) of mixed polynomials P (z, ¯ z) of the single complex variable z, with complex coefficients, allows to investigate interesting roots structures and counting; intermediate between complex and real algebra. Multivariate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46538be02c455d541719ccf58c7df3da
https://hal.science/hal-01292822/file/TCS2015ElkadiGalligo.pdf
https://hal.science/hal-01292822/file/TCS2015ElkadiGalligo.pdf
Publikováno v:
Mathematical and Computer Modelling. 53:2031-2043
In this paper, we propose a new operator of conjugate product for complex polynomial matrices. Elementary transformations are first investigated for the conjugate product. It is shown that an arbitrary complex polynomial matrix can be converted into
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f85f264d33a09d5fa70f92f06352d55c
https://doi.org/10.1016/j.mcm.2010.12.027
https://doi.org/10.1016/j.mcm.2010.12.027
Autor:
Olga M. Katkova, Anna Vishnyakova
Publikováno v:
Mathematical Inequalities & Applications. :753-759
The following theorem is proved. Theorem. Let P (x) = P 2n k=0 akx k be a polynomial with positive coefficients. If the inequalities a 2 2k+1 a2ka2k+2 0 for every x 2 R . We show that the constant 1 cos2( � n+2 ) in this theorem could not be increa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c4b97cf9f3ba2528160539282819c03
https://doi.org/10.7153/mia-13-54
https://doi.org/10.7153/mia-13-54
Autor:
Vladimir Petrov Kostov
Publikováno v:
Functional Analysis and Its Applications. 43:147-150
Every real polynomial of degree n in one variable with root −1 can be represented as the Schur-Szegő composition of n − 1 polynomials of the form (x + 1) n−1(x + a i ), where the numbers a i are uniquely determined up to permutation. Some a i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::322d0277b0d922ed57cd231a829ba471
https://doi.org/10.1007/s10688-009-0020-3
https://doi.org/10.1007/s10688-009-0020-3
Autor:
T. R. Seifullin
Publikováno v:
Cybernetics and Systems Analysis. 44:18-35
A root functional is a functional that is defined over a polynomial ring and annihilates the ideal of polynomials. The concept of a root functional is a generalization of the concept of a root to the case of multiple roots. This article considers a b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9ded39a5bb309b44ba3d965b28cae27
https://doi.org/10.1007/s10559-008-0003-z
https://doi.org/10.1007/s10559-008-0003-z