Supported by the Indigenous Innovation’s Capability Development Program of Huizhou University(HZU202003,HZU202020);Natural Science Foundation of Guangdong Province(2022A1515011463);the Project of Educational Commission of Guangdong Province(2023ZDZX1025);National Natural Science Foundation of China(12271473);Guangdong Province’s 2023 Education Science Planning Project(Higher Education Special Project)(2023GXJK505)。
Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the tru...
Supported by Guangdong Provincial Education Projects(2021KTSCX071,HSGDJG21356-372);Project of Hanshan Normal University(521036).
In this article we use Chebyshev spectral collocation method to deal with the Volterra integral equation which has two kinds of delay items. We use linear transformation to make the interval into a fixed interval [-1,...
In this paper,the approximate solutions for two different type of two-dimensional nonlinear integral equations:two-dimensional nonlinear Volterra-Fredholm integral equations and the nonlinear mixed Volterra-Fredholm i...
Supported by the National Natural Science Foundation of China(11201357,81271513 and 91324201);the Fundamental Research Funds for the Central Universities under project(2014-Ia-001)
The convergence analysis of a nonlinear Lagrange algorithm for solving nonlinear constrained optimization problems with both inequality and equality constraints is explored in detail. The estimates for the derivatives...
Supported by the National Natural Science Foundation of China(11201422);the Natural Science Foundation of Zhejiang Province(Y6110639,LQ12A01017)
For the large sparse saddle point problems, Pan and Li recently proposed in [H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31(3): 231-242] a corrected Uzawa algorithm based on a nonlinear Uzawa algorithm with two no...
Supported by by the National Science Foundation for Young Scholars of China(11101431);the Fundamental Research Funds for the Central Universities (12CX04082A,10CX04041A);Shandong Province Natural Science Foundation of China(ZR2010AL020)
Two new convection-dominated are derived under the approximate solutions least-squares mixed finite element procedures are formulated for solving Sobolev equations. Optimal H(div;Ω)×H1(Ω) norms error estimates ...
Supported by the National Natural Science Foundation of China (10871178);the Natural Science Foundation of Zhejiang Province of China (Y606154);Foundation of the Education Department of Zhejiang Province of China (20071362)
A new convergence theorem for the Secant method in Banach spaces based on new recurrence relations is established for approximating a solution of a nonlinear operator equation. It is assumed that the divided differenc...
Supported by the National Natural Science Foundation of China (10671184)
This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear H^1 p...