In this note a simple iterative method for simultaneously finding all zeros of a polynomial is established.The method does not require repeated evaluation of the polynomial or its deriva-tives,and is globally converge...In this note a simple iterative method for simultaneously finding all zeros of a polynomial is established.The method does not require repeated evaluation of the polynomial or its deriva-tives,and is globally convergent for quadratic polynomials.展开更多
In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcen...In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f（z） of equation……satisfies ）λ（f） =∞, where A（f） denotes the exponent of convergence of zeros of the meromor- phic function f（z）.展开更多
In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some res...In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some results in [19] and [18].展开更多
Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimate...Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.展开更多
该文主要通过学习了Laine的经典著作《Nevanlinna Theory and Complex Differential Equations》中关于系数A(z)是周期2πi的二阶复微分方程f"(z)+A(z)f(z)=0,λ(f)<∞的相关章节内容,发现了原来文献证明中存在的一个本质错误...该文主要通过学习了Laine的经典著作《Nevanlinna Theory and Complex Differential Equations》中关于系数A(z)是周期2πi的二阶复微分方程f"(z)+A(z)f(z)=0,λ(f)<∞的相关章节内容,发现了原来文献证明中存在的一个本质错误并给予了部分证明更正,同时也给出了一些较原文献中证明错误的结果的稍弱更正结论.展开更多
Presents the first estimation conditions for Nourein iterations for simultaneous finding all zeros of a polynomial under which the iteration processes are guaranteed to converge. Computational formulas; Theorems and p...Presents the first estimation conditions for Nourein iterations for simultaneous finding all zeros of a polynomial under which the iteration processes are guaranteed to converge. Computational formulas; Theorems and proofs.展开更多
In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real unifor...In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Two strong convergence theorems are obtained and their applications on finding the minimizer of a kind of convex functional are discussed, which extend some previous work.展开更多
基金The Project is supported by the National Natural Science Foundation of China and by Natural Science Foundation of Zhejiang Province.
文摘In this note a simple iterative method for simultaneously finding all zeros of a polynomial is established.The method does not require repeated evaluation of the polynomial or its deriva-tives,and is globally convergent for quadratic polynomials.
基金supported by the National Natura Science Foundation of China (11171119)Funding of Tianyuan (11226090)
文摘In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f（z） of equation……satisfies ）λ（f） =∞, where A（f） denotes the exponent of convergence of zeros of the meromor- phic function f（z）.
基金supported by the NSF of Jiangxi Province(2010GZC0187)NSF of Educational Department of the Hubei Province(T201009,Q20112807)NFS of China(11201395)
文摘In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some results in [19] and [18].
基金supported by National Natural Science Foundation of China (Grant No. 10871076)Brain Pool Program of Korean Federation of Science and Technology Societies (Grant No. 072-1-3-0164)
文摘Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.
文摘该文主要通过学习了Laine的经典著作《Nevanlinna Theory and Complex Differential Equations》中关于系数A(z)是周期2πi的二阶复微分方程f"(z)+A(z)f(z)=0,λ(f)<∞的相关章节内容,发现了原来文献证明中存在的一个本质错误并给予了部分证明更正,同时也给出了一些较原文献中证明错误的结果的稍弱更正结论.
基金National Natural Science Foundation of China Natural ScienceFoundation of Zhejiang Province.
文摘Presents the first estimation conditions for Nourein iterations for simultaneous finding all zeros of a polynomial under which the iteration processes are guaranteed to converge. Computational formulas; Theorems and proofs.
基金the National Natural Science Foundation of China （No. 10771050）.
文摘In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Two strong convergence theorems are obtained and their applications on finding the minimizer of a kind of convex functional are discussed, which extend some previous work.
