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Acta Mathematicae Applicatae Sinica 2009年第2期25卷 183-194页

作者： de-tong Zhu Business College Shanghai Normal University Shanghai 200234 China

In this paper we extend and improve the classical affine scaling interior-point Newton method for solving nonlinear optimization subject to linear inequality constraints in the absence of the strict complementarity assumption. Introducing a computationally efficient technique and employing an identification function for the definition of the new affine scaling matrix, we propose and analyze a new affine scaling interior-point Newton method which improves the Coleman and Li affine sealing matrix in [2] for solving the linear inequlity constrained optimization. Local superlinear and quadratical convergence of the proposed algorithm is established under the strong second order sufficiency condition without assuming strict complementarity of the solution.

关键词： Interior method affine scaling strict complementarity

Generalized derivations as Jordan Homomorphisms on Lie Ideals and Right Ideals

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Acta Mathematica Sinica,English Series 2009年第12期25卷 1965-1974页

作者： Vincenzo de FILIPPIS DI.S.I.A. University of Messina Faculty of Engineering Contrada di Dio

Let R be a prime ring, L a non-central Lie ideal of R and g a non-zero generalized derivation of R. If g acts as a Jordan homomorphism on L, then either g（x） = x for all x ∈ R, or char（R） = 2, R satisfies the standard identity s4（x1, x2, x3, x4）, L is commutative and u2 ∈ Z（R）, for any u C L. We also examine some consequences of this result related to generalized derivations which act as Jordan homomorphisms on the set [I, I], where I is a non-zero right ideal of R.

关键词： prime rings differential identities generalized derivations Jordan homomorphisms

Cotorsion Pair Extensions

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Acta Mathematica Sinica,English Series 2009年第9期25卷 1567-1582页

作者： de Xu ZHOU department of Mathematics Fujian Normal University Fuzhou 350007 P. R. China

Assume that S is an almost excellent extension of R. Using functors HomR（S,-） and -×R S, we establish some connections between classes of modules lR and lS, cotorsion pairs （AR, BR） and （AS, BS）. If lS is a T-extension or （and） H-extension of lR, we show that lS is a （resp., monomorphic, epimorphic, special） preenveloping class if and only if so is lR. If （AS, BS） is a TH- extension of （AR, BR）, we obtain that （AS, BS） is complete （resp., of finite type, of cofinite type, hereditary, perfect, n-tilting） if and only if so is （AR, BR）.

关键词： cotorsion pair ring extension preenveloping class

On the Generalized 2-D Stochastic Ginzburg-Landau Equation

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Acta Mathematica Sinica,English Series 2010年第8期26卷 1601-1612页

作者： de Sheng YANG School of Mathematical Sciences and Computing Technology Central South University Changsha 410083 P. R. China

This paper proves the existence and uniqueness of solutions in a Banach space for the generalized stochastic Ginzburg-Landau equation with a multiplicative noise in two spatial dimensions. The noise is white in time and correlated in spatial variables. The condition on the parameters is the same as in the deterministic case. The Banach contraction principle and stochastic estimates in Banach spaces are used as the main tool.

关键词： Generalized stochastic Ginzburg-Landau equation multiplicative noise stochastic partial differential equation

A Survey on Some Recent developments of Alternating Direction Method of Multipliers

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Journal of the Operations Research Society of China 2022年第1期10卷 1-52页

作者： de-Ren Han LMIB of the Ministry of Education School of Mathematical SciencesBeihang UniversityBeijing 100191China

Recently, alternating direction method of multipliers (ADMM) attracts much attentions from various fields and there are many variant versions tailored for differentmodels. Moreover, its theoretical studies such as rate of convergence and extensionsto nonconvex problems also achieve much progress. In this paper, we give a surveyon some recent developments of ADMM and its variants.

关键词： Alternating direction method of multipliers Global convergence Rate of convergence Nonconvex optimization

Existence of two periodic solutions of a ratio-dependent Holling-Taner model with infinite delay and prey harvest

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Applied Mathematics(A Journal of Chinese Universities) 2008年第2期23卷 136-142页

作者： TIAN de-sheng College of Sciences Hubei University of Technology Wuhan 430068 China.

This paper considers a class of ratio-dependent Holling-Taner model with infinite delay and prey harvest, which is of periodic coefficients. By means of the coincidence degree theory, a set of sufficient conditions fo... 详细信息

关键词： Holling-Taner model ratio-dependent harvest periodic solution coincidence degree.

Superlinearly Convergent Affine Scaling Interior Trust-Region Method for Linear Constrained LC^1 Minimization

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Acta Mathematica Sinica,English Series 2008年第12期24卷 2081-2100页

作者： de Tong ZHU Business College Shanghai Normal University Shanghai 200234 P. R. China

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. We propose and analyze a new affine scaling trust-region method in association with nonmonotonic interior backtracking line search technique for solving the linear constrained LC1 optimization where the second-order derivative of the objective function is explicitly required to be locally Lipschitzian. The general trust region subproblem in the proposed algorithm is defined by minimizing an augmented affine scaling quadratic model which requires both first and second order information of the objective function subject only to an affine scaling ellipsoidal constraint in a null subspace of the augmented equality constraints. The global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions where twice smoothness of the objective function is not required. Applications of the algorithm to some nonsmooth optimization problems are discussed.

关键词： trust region method backtracking nonmonotonic technique interior point LC^1 minimization affine scaling

Floristics and Plant Biogeography in China

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Journal of Integrative Plant Biology 2008年第7期50卷 771-777页

作者： de-Zhu Li Key Laboratory of Biodiversity and Biogeography Kunming Institute of Botany the Chinese Academy of Sciences and Plant Germplasm and Genomics Center Germplasm Bank of Wild Species Kunming 650204 China

In 1998, a revolutionary system of angiosperm classification, the Angiosperm Phylogeny Group system was published. Meanwhile, another new system of classification of angiosperms, the eight-class system was proposed by C.Y. Wu and colleagues based on long term work on the flora of China. The Flora Reipublicae Popularis Sinicae project was initiated in 1959 and completed by 2004. It is the largest Flora so far completed in the world, including 31 228 species of vascular plants, or one-eighth of the global plant diversity. The English-language and updated Flora of China （FOC） is an international joint effort initiated in 1988 and accelerated in 1998. Up to now, 15 of the 24 volumes of the FOC have been published. Based on the floristic data, the composition, characteristics, floristic divisions and affinities of the flora of China have been studied by Wu and colleagues since 1965. In the past 10 years, analyses of the available floristic data have been very productive. The East Asiatic Floristic Kingdom was proposed in 1998. All 346 families of angiosperms in China, according to the eight-class system of classification, were comprehensively discussed by using knowledge of current and historical distribution of seed plants in the world, together with some morphological and molecular data. A scheme of distribution patterns or areal-types of families and genera of seed plants in China was modified and elucidated, together with a proposed scheme of areal-types of the world. Molecular phylogenetic and biogeographical studies of angiosperms in China in the past 10 years also witnessed a progressive development. Integration of morphological and molecular data and fossil evidence revealed some significant results. Eastern Asia, which used to be regarded as an important center of survival during the ice age, is likely an important center of diversification of angiosperms.

关键词： biogeography center of diversification eastern Asia floristics phylogenetics.

Severe adverse events during antiviral therapy in hepatitis C virus cirrhotic patients: A systematic review

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World Journal of Hepatology 2013年第3期5卷 120-126页

作者： Simona Bota Ioan Sporea Roxana Sirli Alina Popescu Adriana Maria Neghinǎ Mirela Dǎnilǎ Mihnea strǎin department of Gastroenterology and Hepatology University of Medicine and Pharmacy department of Biochemistry and Pharmacology University of Medicine and Pharmacy

AIM: To identify severe adverse events (SAEs) leading to treatment discontinuation that occur during antiviral therapy in hepatitis C virus (HCV)-infected cirrhotic patients. METHODS: We identified all the articles published prior to december 2011 in the PubMed, Medline, Lilacs, Scopus, Ovid, EMBASE, Cochrane and Medscape databases that presented these data in cirrhotic patients. These studies evaluated the rate of SAEs leading to discontinuation of standard care treatment: Pegylated interferon (PegIFN) alpha 2a (135-180 μg/wk) or PegIFN alpha 2b (1 or 1.5 μg/kg per week) and ribavirin (800-1200 mg/d). Patients with genotype 1 + 4 underwent treatment for 48 wk, whereas those with genotypes 2 + 3 were treated for 24 ***: We included 17 papers in this review, comprising of 1133 patients. Treatment was discontinued due to SAEs in 14.5% of the patients. The most common SAEs were: severe thrombocytopenia and/or neutropenia (23.2%), psychiatric disorders (15.5%), decompensation of liver cirrhosis (12.1%) and severe anemia (11.2%). The proportion of patients who needed to discontinue their therapy due to SAEs was significantly higher in patients with Child-Pugh class B and Cvs those with Child-Pugh class A: 22%vs 11.4% (P = 0.003). A similar discontinuation rate was found in cirrhotic patients treated with PegIFN alpha 2a and those treated with PegIFN alpha 2b, in combination with ribavirin: 14.2%vs 13.7% (P = 0.96). The overall sustained virological response rate in cirrhotic patients was 37% (95%CI: 33.5-43.1) but was significantly lower in patients with genotype 1 + 4 than in those with genotype 2 + 3: 20.5% (95%CI: 17.9-24.8) vs 56.5% (95%CI: 51.5-63.2), (P ded early discontinuation of therapy due to SAEs, the most common cause being hematological disorders.

关键词： Liver cirrhosis Hepatitis C virus Adverse events Sustained virological response

Elucidation of the ‘Honeycrisp’ pedigree through haplotype analysis with a multi-family integrated SNP linkage map and a large apple (Malus×domestica) pedigree-connected SNP data set

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Horticulture Research 2017年第1期4卷 358-364页

作者： Nicholas P Howard Eric van de Weg David S Bedford Cameron P Peace Stijn Vanderzande matthew D Clark Soon Li Teh Lichun Cai James J Luby department of Horticultural Science University of MinnesotaSt Paul55104MNUSA department of Plant Breeding Wageningen University and ResearchWageningen6700AJThe Netherlands department of Horticulture and Landscape Architecture Washington State UniversityPullman99164WAUSA department of Horticulture Michigan State UniversityEast Lansing48824MIUSA

The apple(Malus×domestica)cultivar Honeycrisp has become important economically and as a breeding *** earlier study with SSR markers indicated the original recorded pedigree of‘Honeycrisp’was incorrect and‘Keepsake’was identified as one putative parent,the other being *** objective of this study was to verify‘Keepsake’as a parent and identify and genetically describe the unknown parent and its grandparents.A multi-family based dense and high-quality integrated SNP map was created using the apple 8 K Illumina Infinium SNP *** map was used alongside a large pedigree-connected data set from the RosBREED project to build extended SNP haplotypes and to identify pedigree relationships.‘Keepsake’was verified as one parent of‘Honeycrisp’and‘Duchess of Oldenburg’and‘Golden delicious’were identified as grandparents through the unknown *** this finding,siblings of‘Honeycrisp’were identified using the SNP *** records from several of these siblings suggested that the previously unreported parent is a University of Minnesota selection,*** selection is no longer available,but now is genetically described through imputed SNP *** also present the mosaic grandparental composition of‘Honeycrisp’for each of its 17 chromosome *** new pedigree and genetic information will be useful in future pedigree-based genetic studies to connect‘Honeycrisp’with other cultivars used widely in apple breeding *** created SNP linkage map will benefit future research using the data from the Illumina apple 8 and 20 K and Affymetrix 480 K SNP arrays.

关键词： Golden linkage connected