一个求解P_*(κ)水平线性互补问题精确极大互补解的不可行内点算法(英文)

Stoer,Wechs,和Mizuno最近提出了一个求解P_*(k)水平线性互补问题的不可行内点算法,他们的算法能在有限不内得到问题的一个精确解,但是没有讨论算法的多项式复杂性．本文提出一个能得到P_*(k)水平线性互补问题精确极大互补解的不可行内点算法,通过使用条件数和误差界理论,我们证明了所给算法是多项式有界的．     

关于两类矩阵最佳逼近问题

１．引言与引理 设Ｒｍ×ｎ表示所有ｍ×ｎ阶实矩阵的集合;ＳＲｎ×ｎ是所有ｎ阶实对称矩阵的全体;ＯＲｎ×ｎ是所有ｎ阶实正交矩阵的全体;Ｉｎ是ｎ阶单位矩阵;ＡＴ是矩阵Ａ的转置;ｒａｎｋＡ表示矩阵 Ａ的秩;‖·‖是矩阵的Ｆｒｏｂｅｎｉｕｓ范数．此外,对于 　　　　,Ａ＊Ｂ表示 Ａ与 Ｂ的 Ｈａｄａｍａｒｄ积,其定义为　　　　　　　　　　　　　,现考虑如下问题： 问题 Ⅰ给定　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　,使得 　　　　　,求 问题Ⅱ给定 ,求 ,使得 本文运用矩阵对…     

对聚苯树脂炭化产物作为锂离子电池碳电极材料的研究Ⅱ.炭化产物制备的电极材料组装的锂离子电池电化学性能

电化学性质;对聚苯树脂炭化产物作为锂离子电池碳电极材料的研究Ⅱ.炭化产物制备的电极材料组装的锂离子电池电化学性能     

Synthesis and characterization of gallium-based perovskitetype dense membrane with oxygen semipermeability

La0.15Sr0.85Ga0.3Fe0.7O3-δ(LSGFO) and La0.15Sr0.85Co0.3Fe0.7O3-δ(LSCFO) mixed oxygen-ion and electron conducting oxides were synthesized by using a combined EDTA and citrate complexing method, and the corresponding dense membranes were fabricated. The properties of the oxide powders and membranes were characterized with combined SEM, XRD, H2-TPR, O2-TPD techniques, mechanical strength and oxygen permeation measurement. The results showed that LSGFO had much higher thermochemical stability than LSCFO due to the higher valence stability of Ga3+. After the temperature-programmed reduction by 5% H2 in Ar from 20℃to 1020℃, the basic perovskite structure of LSGFO was successfully preserved. LSGFO also favors the oxygen vacancy formation better than LSCFO. Oxygen permeation measurement demonstrated that LSGFO had higher oxygen permeation flux than LSCFO, but they had similar activation energy for oxygen transportation, with a value of 110 and 117 kJ ?mol~(-1), respectively. The difference in oxygen permeation f     

环己烷在聚乙烯和聚异丁烯中无限稀释扩散系数 的测定

采用填充柱的反相气相色谱方法,基于Hadj-Romdhane-Danner色谱过程的数学模型,在323.2～363.2K温度范围内测定了环己烷在聚异丁烯和聚乙烯膜中的无限稀释扩散系数。从实验数据可以看出,环己烷更容易在PIB中发生扩散。对实测扩散数据进行了自由体积理论关联,结果表明,采用空穴自由体积替代Vrentas-Duda自由体积理论方程中自由体积项的修正方程能很好地描述溶剂分子扩散系数随温度的变化关系。     

Adsorption and Reaction of CO on Mo(100)-c(2×2)-N Surface Studied by HREELS

Molybdenum nitrides have attracted significant attention recently due to their uniquephysical and chemical properties. Many studies have shown that Mo,N is an activecatalyst for CO hydrogenation. The fundamental understanding concerning the reactionmechanisms over Mo=N. however, is not well established. The powerful surface sciencetechniques may provide an insight into the surface structure and properties of such animportant catalytic material. In previous paper', we described the results o…     

Two New Diterpenoids from Isodon rubescens

In order to further study on minor diterpenoid constituents of lsodon rubescens, wereinvestigated this species, which was collected in Taibai mountain, Shaanxi Province.TWo new diterpenoids, taibairubescensins A (l) and B (2), were isolated. In this paper,we present the structure elucidation of these two new diterpenoids.Taibairubescensin A (l ), C,.H,#O, (FABMS m/z 435[M 11 ), an amorphous powder,showed UV and iR absorption bands for the existence of hydroxyl, acetoxyl and a fivemembe…     

NMR Studies of 3-Acylcamphor

6-Diketones are useful chelating agents with many metal ions. Chiral 6-diketones.especially chiral 3-acylcamphors as an outstanding representation, have even moreextensive applications as stationary phases in chromatograpy and as ligands of chemicalshifting reagents in NMR spectroscopy'for determining the enantiomeric excess of 'chrialcompoundsl=. Furthermore, they can be 'used as ligands in asymmetric catalysis'-'.Much work has been done for the synthesis of 3-acylcamphors due to their broad…     

Bismuth Mediated Organic Reaction: A Convenient Method for the Synthesis of Allylic (Benzylic) Selenides and α-Organylselenocarbonyl Compounds in Aqueous Media

Organic reactions promoted by active metals have aroused much interest in recent years. Active bismuth has been used in Barbier-type reaction of allylic halides with aldehydes1 and aldimines2 as well as Reformatzky type reaction3. Other publications referred to the cross coupling between aldehydes and α-diketones4, the substitution to benzotriazole drivatives5 and the reductive coupling reaction of nitro compounds6. These reactions generally promoted by elemental bismuth generated in situ fr…     

Cofeeding of Methane and Ethane to Produce Syngas over a LiLaNiO/γ-Al_2O_3 Catalyst

There are abundant supplies of mixture gases containing CH, and C,H, from natural gas,FCC (Fluidized Catalytic Cracking) dry gas, refinery gas, elc. Commonly, the amount ofC,H, is relatively lower than that of CH,. With regard to the utilization of methane,partial oxidation of methane to syngas over nickel based catalysts has received intensiveallention l'2. For mixture gases containing CH# and C,H,, their conversion to syngas isalso of significance (but has not gained adequate attentio…