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Column sufficient tensors and tensor complementarity problems

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Frontiers of Mathematics in China 2018年第2期13卷 255-276页

作者： Haibin CHEN Liqun QI yisheng song School of Management Science Qufu Normal University Rizhao 276826 China Department of Applied Mathematics The Hong Kong Polytechnic University Hong KongChina School of Mathematics and Information Science Henan Normal UniversityXinxiang 453007 China

Stimulated by the study of sufficient matrices in linear complementarity problems, we study column sufficient tensors and tensor complementarity problems. Column sufficient tensors constitute a wide range of tensors that include positive semi-definite tensors as special cases. The inheritance property and invariant property of column sufficient tensors are presented. Then, various spectral properties of symmetric column sufficient tensors are given. It is proved that all H-eigenvalues of an even-order symmetric column sufficient tensor are nonnegative, and all its Z-eigenvalues are nonnegative even in the odd order case. After that, a new subclass of column sufficient tensors and the handicap of tensors are defined. We prove that a tensor belongs to the subclass if and only if its handicap is a finite number. Moreover, several optimization models that are equivalent with the handicap of tensors are presented. Finally, as an application of column sufficient tensors, several results on tensor complementarity problems are established.

关键词： Column sufficient tensor H-eigenvalue tensor complementarity problems handicap

Seismic hazard analysis for engineering sites based on the stochastic finite-fault method

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Earthquake Science 2022年第5期35卷 314-328页

作者： Ruifang Yu yisheng song Xiangyun Guo Qianli Yang Xinjuan He Yanxiang Yu Institute of Geophysics China Earthquake AdministrationBeijing 10081China

Seismic hazard analyses are mainly performed using either deterministic or probabilistic ***,there are still some defects in these statistical model-based approaches for regional seismic risk assessment affected by the near-field of large ***,we established a deterministic seismic hazard analysis method that can characterize the entire process of ground motion propagation based on stochastic finite-fault simulation,and we chose the site of the Xiluodu dam to demonstrate the *** method can characterize earthquake source properties more realistically than other methods and consider factors such as the path and site attenuation of seismic *** also has high computational efficiency and is convenient for engineering *** first analyzed the complexity of seismogenic structures in the Xiluodu dam site area,and then an evaluation system for ground motion parameters that considers various uncertainties is constructed based on a stochastic finitefault ***,we assessed the seismic hazard of the dam site area *** proposed method was able to take into account the complexity of the seismogenic structures affecting the dam site and provide multi-level parameter evaluation results corresponding to different risk *** results can be used to construct a dam safety assessment system of an earthquake in advance that provides technical support for rapidly and accurately assessing the post-earthquake damage state of a dam,thus determining the influence of an earthquake on dam safety and mitigating the risk of potential secondary disasters.

关键词： Xiluodu dam seismic hazard ground motion parameters seismogenic structures

PROPERTIES OF TENSOR COMPLEMENTARITY PROBLEM AND SOME CLASSES OF STRUCTURED TENSORS

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Annals of Applied Mathematics 2017年第3期33卷 308-323页

作者： yisheng song Liqun Qi School of Math. and Information Science Henan Normal University Dept. of Applied Math. The Hong Kong Polytechnic University

This paper deals with the class of Q-tensors, that is, a Q-tensor is a real tensor ,4 such that the tensor complementarity problem （q, A）： finding an x ∈R^n such that x ≥ 0, q＋Axm-1 ≥ 0, and xT（q＋Ax^m-1） = 0, has a solution for each vector q ∈R^n. Several subclasses of Q-tensors are given： F-tensors, R-tensors, strictly semi-positive tensors and semi-positive R0-tensors. We prove that a nonnegative tensor is a Q-tensor if and only if all of its principal diagonal entries are positive, and so the equivalence of Q-tensor, R-tensors, strictly semi-positive tensors was showed if they are nonnegative tensors. We also show that a tensor is an R0-tensor if and only if the tensor complementarity problem （0, A） has no non-zero vector solution, and a tensor is a R-tensor if and only if it is an R0-tensor and the tensor complementarity problem （e,A） has no non-zero vector solution, where e = （1, 1…. , 1）T

关键词： Q-tensor R-tensor R0-tensor strictly semi-positive tensorcomplementarity problem

关于弱压缩算子的变分不等式解的粘滞逼近算法

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数学物理学报（A辑） 2009年第3期29卷 656-668页

作者：宋义生杨长森河南师范大学数学与信息科学学院河南新乡453007

在严格凸且具有一致Gteaux可微范数的Banach空间E框架内,该文借助于两种粘滞逼近算法去近似逼近关于弱压缩算子的变分不等式解并且也获得了相应的收敛率估计。

关键词：粘滞逼近算法非扩张映射序列弱压缩算子收敛率估计严格凸Banach空间

Study on the Activity of the Toupo Fault in Southern Anhui Province

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Earthquake Research in China 2006年第1期20卷 50-57页

作者： Chen Wenbin Li Xiaojun song yisheng Pan Hua Huan Wenlin Xu Guangyin Jiang Hui You Huichuan Institute of Geophysics China Earthquake Administration Beijing 100081 China

The Toupo Fault, located in southern Anhui Province, strikes N60°～70°E in a linear route that is clear on satellitic image. It plays an important role in controlling the tectonics, geomorphology and distribution of Mesozoic-Cenozoic basins and strata. Detailed field investigation was carried out along the Toupo Fault to study its activity. Profiles, as well as a trench excavated reveal that the Quaternary super stratum above the fault had not been offset. The stratum was sampled and dated with TL methods to be the Mid-Pleistocene time, implying that the fault had been no longer active since then. Three stages can be divided since the fault was formed. The first stage is in the late Yanshan Movement, when the fault movement was of reversal strike-slipping and the tracks formed then are still clear today. The second stage is in the early Himalayan Movement—the late Cretaceous-early Tertiary, when the fault movement turned to be normal faulting and the southern wall became a tensile basin and received clastic sediment. The third stage is since the late Tertiary, when the tectonic movement was very weak. No late Tertiary sediments were formed and the Quaternary sediment was only as thick as ten meters. The geomorphology also suggested an aging form. Neither vertical nor horizontal displacement was evident along the Toupo Fault during this stage, though fault gouge dating suggested that the Toupo Fault might have been active during the Mid-Pleistocene.

关键词： Anhui Toupo Fault Quaternary Fault activity

Browder-Petryshyn型的严格伪压缩映射的粘滞迭代逼近方法

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系统科学与数学 2006年第6期26卷 651-657页

作者：陈汝栋宋义生天津工业大学数学研究所数学系天津300160

主要研究Browder-Petryshyn型的严格伪压缩映射的粘滞迭代逼近过程,证明了Browder-Petryshyn型的严格伪压缩映射的不动点集F(T)是闭凸集．在q-一致光滑且一致凸的Banach空间中,对于严格伪压缩映射T,利用徐洪坤在2004年引进的粘滞迭代得... 详细信息

主要研究Browder-Petryshyn型的严格伪压缩映射的粘滞迭代逼近过程,证明了Browder-Petryshyn型的严格伪压缩映射的不动点集F(T)是闭凸集．在q-一致光滑且一致凸的Banach空间中,对于严格伪压缩映射T,利用徐洪坤在2004年引进的粘滞迭代得到的序列弱收敛于T的某个不动点．同时证明了Hilbert空间中Browder-Petryshyn型的严格伪压缩映射的相应迭代序列强收敛到T的某个不动点,其结果推广与改进了徐洪坤2004年的相应结果．

关键词：严格伪压缩映射粘滞迭代方法不动点闭凸集

自反Banach空间中非扩张非自映射的粘滞迭代逼近方法

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系统科学与数学 2007年第4期27卷 481-487页

作者：宋义生李庆春河南师范大学数学与信息科学学院新乡453007

主要在自反和严格凸的且具有一致G■teaux可微范数的Banach空间中研究了非扩张非自映射的粘滞迭代逼近过程,证明了此映射的隐格式与显格式粘滞迭代序列均强收敛到它的某个不动点.

关键词：非扩张非自映射粘滞迭代方法严格凸的 Banach空间.

灵芝及灵芝孢子粉的毒理学与安全性评价研究进展

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中国现代应用药学 2023年第8期40卷 1147-1152页

作者：俞宇寒宋翼升张立将浙江工业大学长三角绿色制药协同创新中心杭州310014 杭州医学院安全性评价研究中心杭州310053

本文对灵芝及灵芝孢子粉的概况、灵芝孢子粉的去壁和破壁技术、灵芝孢子粉的鉴定方法进行了梳理,并重点对灵芝孢子粉毒理学各项研究(包括急性毒性、遗传毒性、重复给药毒性、幼龄动物毒性研究等)进行整理归纳,现有文献表明灵芝及灵芝孢... 详细信息

本文对灵芝及灵芝孢子粉的概况、灵芝孢子粉的去壁和破壁技术、灵芝孢子粉的鉴定方法进行了梳理,并重点对灵芝孢子粉毒理学各项研究(包括急性毒性、遗传毒性、重复给药毒性、幼龄动物毒性研究等)进行整理归纳,现有文献表明灵芝及灵芝孢子粉在上述毒理学试验中安全性良好,无明显毒性。

关键词：灵芝灵芝孢子粉毒理学安全性评价

体外全胚胎培养技术及其在药物生殖发育毒性评价中的应用

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中国现代应用药学 2021年第17期38卷 2162-2169页

作者：朱晨霞宋翼升张立将浙江工业大学长三角绿色制药协同创新中心杭州310014 杭州医学院(浙江省医学科学院)安全性评价研究中心杭州310053

体外全胚胎培养(whole embryo culture,WEC)技术是一项在受控的体外环境中培养动物胚胎的技术,是研究药物及化学物质在胚胎发育过程中的药理毒理及作用机制的重要方法之一。本文从大鼠和兔的WEC技术发展概况、培养条件、胚胎发育终点的... 详细信息

体外全胚胎培养(whole embryo culture,WEC)技术是一项在受控的体外环境中培养动物胚胎的技术,是研究药物及化学物质在胚胎发育过程中的药理毒理及作用机制的重要方法之一。本文从大鼠和兔的WEC技术发展概况、培养条件、胚胎发育终点的评分系统和拓展的胚胎发育评价终点、药物生殖发育毒理学应用等方面,对WEC技术及近年来研究进展进行介绍。WEC技术是药物生殖发育毒性研究中重要的替代学研究方法之一。其中,对大鼠与兔组合的WEC研究更具有重要价值,可为胚胎发育毒性研究提供更全面的信息。

关键词：体外全胚胎培养胚胎发育生殖毒性安全性评价