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A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method Theory Insights
2015/6/17
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Nesterov’s accelerated scheme convex optimization first-order methods differential equation restarting
2015/6/17
We derive a second-order ordinary differential equation (ODE) which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can ...
Hodge-de Rham Theory on Fractal Graphs and Fractals
Analysis on fractals Sierpinski gasket Hodge-deRham theory k-forms harmonic 1-forms fractal graphs
2012/6/25
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the m...
The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applications
Hahn meromorphic functions holomorphic Fredholm theorem its applications Classical Analysis and ODEs
2012/5/9
We introduce a class of functions near zero on the logarithmic cover of the complex plane that have convergent expansions into generalized power series. These power series are general enough to cover ...
Elements of Polya-Schur theory in finite difference setting
Elements Polya-Schur theory finite difference setting Classical Analysis and ODEs
2012/4/16
In this note we attempt to develop an analog of P\'olya-Schur theory describing the class of univariate hyperbolicity preservers in the setting of linear finite difference operators. We study the clas...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
专著信息
书名
Theory of impulsive differential equations with applications
语种
英文
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撰写
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申建华,Liu X
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纸质
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相关项目
脉冲微分系统若干问题的研究