广义严格对象占优矩阵的充分条件

In this paper,we provide some new criteria conditions for generalized strictly diagonally dominant matrices,such that the corresponding results in [l] are generalized and improved.     

Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices

The paper derives improved relative perturbation bounds for the eigenvalues of scaled diagonally dominant Hermitian matrices and new relative perturbation bounds for the singular values of symmetrically scaled diagonally dominant square matrices. The perturbation result for the singular values enlarges the class of well-behaved matrices for accurate computation of the singular values. AMS subject classification (2000)  65F15     

板几何中具反射边界条件的迁移算子的谱

在LP(1p<∞)空间研究了板几何中一类带反射边界条件具各向异性、连续能量、均匀介质迁移算子的谱,证明了该迁移算子生成C0半群的Dyson-Phillips展开式的二阶余项在LP(1相似文献   

A Kind of Square Matrices and Its Qualities

ＡＫｉｎｄｏｆＳｑｕａｒｅＭａｔｒｉｃｅｓａｎｄＩｔｓＱｕａｌｉｔｉｅｓ￥ＷｅｉＺｏｎｇｌｉ（ＬｕｏｙａｎｇＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ）Ａｂｓｔｒａｃｔ：ＴｈｉｓｐｅｐｅｒｄｉｓｃｕｓｓｅｓａｋｉｎｄｏｆＳｑｕａｒｅｍａｔｒｉｃｅｓｗｈｉｃｓｉｓ...     

Contemporary Commercial Music (CCM) Survey: Who''s Teaching What in Nonclassical Music

Currently, there is an increasing interest in and demand for training in a wide variety of nonclassical music--contemporary commercial music (CCM)--and most particularly for music theater. A survey of singing teachers was completed to elucidate their training, education, and experience with and methods of teaching CCM. Teachers were at colleges, universities, and conservatories as well as in private studios, both nationally and in several foreign countries. A substantial percentage of those teaching CCM had neither formal education in teaching it nor professional experience. Many of the respondents indicated conflict between classical and CCM styles. Respondents were generally familiar with voice science and voice medicine as well as certain CCM terminology. Teachers expressed an interest in obtaining more information, with an emphasis on healthy vocal production. These results are discussed, as well as implications for the singing teacher who desires specific training to teach CCM.     

非奇异H-矩阵的简捷判定

1 引言 非奇异H-矩阵是应用广泛的一类特殊矩阵,它在矩阵理论、数量经济学和数学物理等诸多领域发挥着重要作用.然而其实际判别却比较困难.文献[1-9]给出了一些比较实用的判别方法.     

Primal and polar approach for computing the symmetric diagonally dominant projection

We solve the problem of minimizing the distance from a given matrix to the cone of symmetric and diagonally dominant matrices with positive diagonal (SDD⁺). Using the extreme rays of the polar cone we project onto the supporting hyperplanes of the faces of SDD⁺ and then, applying the cyclic Dykstra's algorithm, we solve the problem. Similarly, using the extreme rays of SDD⁺ we characterize the projection onto the polar cone, which also allows us to obtain the projection onto SDD⁺ by means of the orthogonal decomposition theorem for convex cones. In both cases the symmetry and the sparsity pattern of the given matrix are preserved. Preliminary numerical experiments indicate that the polar approach is a promising one. Copyright © 2002 John Wiley & Sons, Ltd.     

非奇异H矩阵的充分条件

1 引言 设A=(a_(ij))∈C~(n,n),R_i(A)=sum from j≠i to(|a_(ij)|,i,j∈N={1,2,…,n}。若|a_(ij)|≥R_i(A),i∈N,则称A为对角占优矩阵,记为A∈D_0;若不等式中每个不等号都是严格的,则称A为严格对角占优矩阵,记为A∈D。若存在正对角矩阵X,使得AX∈D,则称A为广义严格对角占优矩阵,记为A∈D。     

局部双对角占优矩阵及应用

本文引进了局部双对角占优矩阵的概念，讨论了这类矩阵的性质，给出了局部双对角占优矩阵是广义严格对角占优矩阵的等价表征，得到了Ｍ－矩阵的新表征，推广了［１－１２］的相应结果。