反三角算子矩阵的Drazin可逆性及其应用

来源 :高等学校计算数学学报 | 被引量 : 0次 | 上传用户:sisi_g
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
1引 言rnDrazin逆自1958年被美国数学家Drazin[1]提出来之后,由于其在人口增长模型,数值线性代数,Markov链,微分方程等领域的广泛应用[2-5],而受到国内外学者的广泛关注.学者们对其进行了大量深入研究,包括分块矩阵的Drazin逆,矩阵或算子和的Drazin逆,加权Drazin逆,广义Drazin逆等.
其他文献
The Co3O4 decorated TiO2 nanotube arrays(NTAs)coatings are fabricated by the combination of anodization and impregna-ting methods.It is found that the introduction of Co3O4 can reduce the diffraction intensity of(101)plane of the TiO2 and accelerate the s
Hydrogenation of methyl p-hydroxyphenylacetate has been used for the synthesis of p-hydroxyphenyl ethanol.The reaction was catalyzed by CuiZrj-x%(mass fraction)carbon nanotubes(CNTs)catalysts.Incorporation of a minor amount of CNTs into CuiZrj oxide can v
Based on the functional properties of electrospun cellulose nanofibers(CNF),scientists are showing substantial interest to enhance the aesthetic properties.However,the lower color yield has remained a big challenge due to the higher surface area of nanofi
Nanomolecular imaging and biosensing is an interdisciplinary research field generated from the combination of nanoscience,molecular imaging and biomedicine.
期刊
G-Quadruplexes(GQs),which are formed by G-rich DNA sequences in human telomeres,have become an attractive target for cancer treatment.The ligands to stabilize the con-formation of human telomeric GQs in vivo are particularly important for structure-based
Pretargeting is an innovative and promising approach in nuclear medicine for targeted-imaging/therapy through the following bioorthogonal reactions.It requires two reactive participants,one of which is a targeting vector and the other is a small radiolabe
1引 言 rn1.1背景简介rn设A ∈Rn×n为n阶实对称矩阵,矩阵A的特征值分解是找正交矩阵U ∈Rn×n,使得rnA=UΛUT,(1.1)rn其中UT指U的转置,A为对角矩阵,且A=diag(λ1,λ2,...,λn),其中λi,i=1,...,n是矩阵A的特征值.矩阵A的奇异值分解为rnA=UΣUH,(1.2)rn其中,U ∈ Cn×n是酉矩阵,UH是U的共轭转置,Σ是非负实对角矩阵.当A正定时,奇异值分解和特征值分解等价.对一般实对称阵,奇异值和特征值绝对值相同.
期刊
血管阻断剂(VDAs)因其在实体肿瘤治疗中的巨大潜力而引起人们的广泛关注.本文针对本课题组近年来在高分子血管阻断剂纳米药物抗肿瘤治疗方面的基础研究进行了总结.首先发现了纳米药物的瘤内低渗透性可显著提高血管阻断剂的肿瘤血管靶向性和抑瘤能力,进而构建了高分子血管阻断剂纳米药物;其次针对高分子血管阻断剂纳米药物治疗所引起的不利宿主反应,引入小分子抑制剂或激动剂进行联合治疗;然后利用其调控肿瘤微环境并创建肿瘤选择性药物激活递送系统;最后针对其治疗所产生的肿瘤凝血微环境提出了新的主动靶向策略——链式自放大肿瘤靶向,
Electrochemical sensing technology has received extensive attention from researchers for its unique detection and ana-lysis methods as well as the promising applications in clinical diagnosis.Compared with other detection methods,such as capil-lary electr
采用分步法(路线Ⅰ)和一步法(路线Ⅱ和路线Ⅲ)分别合成了金属有机框架(MOFs)/高分子复合材料(ZIF-8@PDMAPMA),并采用粉末X射线衍射(PXRD)、傅里叶变换红外光谱(FTIR)、扫描电子显微镜(SEM)、透射电子显微镜(TEM)和热重分析(TGA)等对其进行了表征.ZIF-8@PDMAPMA复合材料由高分子柔性链包覆ZIF-8晶体颗粒形成核壳纳米颗粒,探讨了不同合成方法对其形貌的影响.ZIF-8@PDMAPMA纳米颗粒呈球状或类似ZIF-8晶体形状轮廓.反应体系中单体、有机配体以及反应过程