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Continuous Subsonic-Sonic Flows in a Convergent Nozzle
《Acta Mathematica Sinica,English Series》2018年第4期749-772,共24页Yuan Yuan NIE Chun Peng WANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11571137 and 11601182)
This paper concerns continuous subsonic-sonic potential flows in a two-dimensional conver- gent nozzle. It is shown that for a given nozzle which is a perturbation of a straight one, a given point on its wall where th...
关键词：Continuous subsonic-sonic flow free boundary nonlocal boundary condition degeneracy singularity 
The Problem of Split Convex Feasibility and Its Alternating Approximation Algorithms
《Acta Mathematica Sinica,English Series》2015年第12期1857-1871,共15页Zhen Hua HE Ji Tao SUN 
Supported by National Natural Science Foundation of China(Grant No.61174039);the Natural Science Foundation of Yunnan Province(Grant No.2010ZC152);the Candidate Foundation of Youth Academic Experts at Honghe University(Grant No.2014HB0206)
This paper studies the problem of split convex feasibility and a strong convergent alternating algorithm is established.According to this algorithm,some strong convergent theorems are obtained and an affirmative answe...
关键词：Alternating algorithm problem of split convex feasibility strong convergent theorem 
Analysis on a Superlinearly Convergent Augmented Lagrangian Method被引量：2
《Acta Mathematica Sinica,English Series》2014年第1期1-10,共10页Ya Xiang YUAN 
Supported by National Natural Science Foundation of China(Grant Nos.10831006,11021101);by CAS(Grant No.kjcx-yw-s7)
The augmented Lagrangian method is a classical method for solving constrained optimization.Recently,the augmented Lagrangian method attracts much attention due to its applications to sparse optimization in compressive...
关键词：Nonlinearly constrained optimization augmented Lagrange function Lagrange multiplier convergence 
Some Sufficient Conditions for Convergent Multivariate Subdivision Schemes with Nonnegative Finite Masks
《Acta Mathematica Sinica,English Series》2012年第7期1411-1420,共10页Min WU Jia Li ZHOU 
Supported by Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y1100440, Y1110491);Science & Technology Program of Zhejiang Province (Grant No. 2009C34006);Foundation of Zhejiang Educational Committee (Grant No. Y201018286);Major Science & Technology Projects of Zhejiang Province (Grant No. 2011C11050)
It is well known that the convergence of multivariate subdivision schemes with finite masks can be characterized via joint spectral radius. For nonnegative masks, we will present in this paper some computable simply s...
关键词：Cascade algorithm dilation equation joint spectral radius MASK subdivision scheme 
Superlinearly Convergent Affine Scaling Interior Trust-Region Method for Linear Constrained LC^1 Minimization被引量：4
《Acta Mathematica Sinica,English Series》2008年第12期2081-2100,共20页De Tong ZHU 
the National Science Foundation Grant (10871130) of China;the Ph.D.Foundation Grant (0527003);the Shanghai Leading Academic Discipline Project (T0401);the Science Foundation Grant (05DZ11) of Shanghai Education Committee
We extend the classical affine scaling interior trust region algorithm for the linear constrained smooth minimization problem to the nonsmooth case where the gradient of objective function is only locally Lipschitzian...
关键词：trust region method BACKTRACKING nonmonotonic technique interior point LC^1 minimization affine scaling 
Strongly Convergent Approximations to Fixed Points of Total Asymptotically Nonexpansive Mappings被引量：1
《Acta Mathematica Sinica,English Series》2008年第6期1005-1022,共18页Yakov ALBER Rafa ESPíNOLA Pepa LORENZO 
the Ministry of Science and Technology of Spain,Grant BFM 2000-0344-CO2-01;La Junta de Antalucia Project FQM-127
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn＋1 = qnz0 ＋ （1 - qn）T^nyn, n = 1, 2,…,where lim n→∞ qn = 0 and ∞∑n=1 qn=∞ for T a total asy...
关键词：asymptotically nonexpansive mappings best approximation fixed point duality map iteration schemes 
Statistically Convergent Difference Double Sequence Spaces被引量：4
《Acta Mathematica Sinica,English Series》2008年第5期737-742,共6页Binod Chandra TRIPATHY Bipul SARMA Mathematical Sciences Division,Institute of Advanced Study in Science and Technology,Paschim Boragaon Garchuk Guwahati- 781 035 India 
In this article we define the notion of statistically convergent difference double sequence spaces. We examine the spaces 2l∞（△, q）, 2c（△, q）, 2cB（△, q）, 2cR（△, q）, 2cBR（△,q） etc. being symmetric, soli...
关键词：difference sequence statistical convergence COMPLETENESS solid space SYMMETRIC 
Weak Uniform Normal Structure and Fixed Points of Asymptotically Regular Semigroups
《Acta Mathematica Sinica,English Series》2004年第6期977-982,共6页Lu Chuan ZENG 
supported both by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE,P.R.C.;by the National Natural Science Foundation 19801023
Let X be a Banach space with a weak uniform normal structure and C a non–empty convex weakly compact subset of X. Under some suitable restriction, we prove that every asymptotically regular semigroup T = {T(t) : t ∈...
关键词：Weak uniform normal structure Fixed point Exact Lipschitz constant Weakly convergent sequence coefficient Asymptotically regular semigroup 
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