后腔镜对掺Yb3+双包层光纤激光器性能影响的研究

采用自行研制的内包层为矩形的掺Yb^3 双包层石英光纤，以透射率不同的一组二向色镜为后腔镜构成了双包层光纤激光器。实验证明：后腔镜具有较高透射率为佳；后腔镜可以实现对激光波长的控制；激光斜率效率与后腔镜透射率之间的关系符合指数变化规律，在本实验的条件下，斜率效率的最大值约60％。     

On the Block Independence in G-Inverse and Reflexive Inner Inverse of A Partitioned Matrix

By applying the multiple quotient singular value decomposition QQQQQ-SVD, we study the block independence in g-inverse and reflexive inner inverse of 2× 2 partitioned matrices, and prove a conjecture in [Yiju Wang, SIAM J. Matrix Anal. Appl., 19（2）, 407-415（1998）].     

埋／盲孔多层PCB制作工艺

本文阐述了埋盲孔多层印制板的制作工艺,并对关键工序的控制作了详细说明。     

关于右拟线性内逆与拟线性投影的关系

讨论线性变换T的拟线性内逆与拟线性投影的关系.证得拟线性内逆M与T的零空间N(T)上的拟线性投影P及T的值域R(T)上的拟线性投影Q之间是1-1对应的,且满足P=I-MT,Q=TM.     

A New and Self-Contained Proof of Borwein’s Norm Duality Theorem

Borwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended version of this theorem with a new and self-contained proof relying only on the Hahn-Banach theorem. We also give examples showing that the assumptions of the theorem cannot be relaxed. This author is supported by Grant BES-2003-0188 from FPI Program of MEC (Spain).     

半无限规划与方向导数

本文对半无限凸规划提出一个用方向导数表述的对偶问题，其对偶间隙为零．     

Saddle Point Optimality Conditions in Fuzzy Optimization Problems

The fuzzy-valued Lagrangian function of fuzzy optimization problem via the concept of fuzzy scalar (inner) product is proposed. A solution concept of fuzzy optimization problem, which is essentially similar to the notion of Pareto solution in multiobjective optimization problems, is introduced by imposing a partial ordering on the set of all fuzzy numbers. Under these settings, the saddle point optimality conditions along with necessary and sufficient conditions for the absence of a duality gap are elicited.     

Orthogonality Preserving Transformations on Indefinite Inner Product Spaces: Generalization of Uhlhorn's Version of Wigner's Theorem

We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on the set of all rank-one idempotents of a Banach space which preserve zero products in both directions.     

对称正定问题多搜索方向共轭梯度法的收敛性理论

In this paper, we give the convergence and consistence theory of multiple search direction conjugate gradient method (see [10]) and give some upper bound estimations of iterative value and error of our method.