对称反循环矩阵的几个性质

讨论了对称反循环矩阵的六个一般性质，并给出了标准形和分解定理。     

关于对称R—循环分块矩阵的注记

首先推广了已有的分解定理，其次，当Ｒ＝Ｉ，时，获得的分解定理类似于正规矩阵的情形。     

行反正交矩阵的一些性质

给出行反正交矩阵的概念,并讨论其行列式、可逆性、迹、特征值等问题,得到行反正交矩阵的行列式、逆矩阵、特征值与迹;并得出了以下主要结果:行反正交矩阵是行列对称矩阵,它本身以及它的行转置和列转置矩阵都是可逆矩阵;行反正交矩阵的转置矩阵以及它的行转置和列转置矩阵都仍是行反正交矩阵;行反正交矩阵的行转置矩阵的逆矩阵等于其逆矩阵的行转置,其列转置矩阵的逆矩阵等于其逆矩阵的列转置;它的行转置矩阵的转置等于其转置矩阵的行转置,它的列转置矩阵的转置等于其转置矩阵的列转置.     

Thermal isomerization of η6-arene ferradicarbolllides. Experimental proof for isolobal relation between (η6-arene)Fe and (η5-cyclopentadienyl)Co cluster units

The heating of selected [1-(η(6)-arene)-closo-1,2,3-FeC(2)B(9)H(11)] complexes resulted in the thermal rearrangement and isolation of the corresponding 1,2,4-, 1,2,7-, and 1,2,8-cage isomers. Demonstrated here is a similar rearrangement and the NMR behaviour for isostructural [1-(η(5)-cyclopentadienyl)-closo-1,2,3-CoC(2)B(9)H(11)] compounds.     

r-广义次正交矩阵

给出r广义次正交矩阵的概念,并研究了它的性质.     

R—循环分块矩阵的充要条件及有关算法的计算复杂性

获得了Ｒ－循环分块矩阵的一些充要条件,并利用ＦＦＴ证明了有关算法的计算复杂性为Ｏ（ｎ２ｍｌｏｇ２ｍ＋ｍｎ３）．     

Macropolyhedral boron-containing cluster chemistry. Ligand-induced two-electron variations of intercluster bonding intimacy. Structures of nineteen-vertex [(eta5-C5Me5)HIrB18H19(PMe2Ph)] and the related carbene complex [(eta5-C5Me5)HIrB18H19[C(NHMe)2]

Addition of PMe2Ph to fused-cluster syn-[(eta5-C5Me5)IrB18H20] 1 to give [(eta5-C5Me5)HIrB18H19(PMe2Ph)] 3 entails a diminution in the degree of intimacy of the intercluster fusion, rather than retention of inter-subcluster binding intimacy and a nido-->arachno conversion of the character of either of the subclusters. Reaction with MeNC gives [(eta5-C5Me5)HIrB18H19[C(NHMe)2]] 4 which has a similar structure, but with the ligand now being the carbene [:C(NHMe)2], resulting from a reductive assembly reaction involving two MeNC residues and the loss of a carbon atom.     

Ten-vertex polyhedral azametallaborane chemistry: a unique nido-6,9 to nido-6,8-cluster isomerization

Reaction of the [arachno-4-NB(8)H(12)](-) anion with [RhCl(2)(eta(5)-C(5)Me(5))](2) in CH(2)Cl(2) at room temperature affords a mixture of red '6,9' isomer [9-(eta(5)-C(5)Me(5))-nido-6,9-NRhB(8)H(11)] () and its yellow '6,8' isomer, [8-(eta(5)-C(5)Me(5))-nido-6,8-NRhB(8)H(11)] (). Under the same conditions, reactions of with [IrCl(2)(eta(5)-C(5)Me(5))](2) and [RuCl(2)(eta(6)-MeC(6)H(4)-4-(iso)Pr)](2) give the '6,8' isomers, yellow [8-(eta(5)-C(5)Me(5))-nido-6,8-NIrB(8)H(11)] () and red [8-(eta(6)-MeC(6)H(4)-4-(iso)Pr)-nido-6,8-NRuB(8)H(11)] (), respectively. In contrast, [IrCl(PPh(3))(3)] yields orange [9,9-(PPh(3))(2)-9-H-nido-6,9-NIrB(8)H(11)] (), which exhibits the '6,9' configuration. Compound isomerizes quantitatively in solution to give . At high temperatures, compound gives the yellow '6,8' species, [8,8-(PPh(3))(2)-8-H-nido-6,8-NIrB(8)H(11)] (), in low yields. Possible mechanisms for the unprecedented 6,9 --> 6,8 isomerization are discussed.