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1.
We derive necessary and sufficient conditions for the existence and an expression of the （anti）reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D. The explicit solutions of the approximation problem min x∈Ф ｜｜X - E｜｜F was given, where E is a given complex matrix and Ф is the set of all reflexive （or antireflexive） solutions of the system mentioned above, and ｜｜·｜｜ is the Frobenius norm. Furthermore, it was pointed that some results in a recent paper are special cases of this paper. 相似文献
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GUChuan－qing 《上海大学学报(英文版)》2001,5(1):11-14
A recursive rational algorithm for matrix exponentials was botained by making use of the generalized inverse of a matrix in this paper.On the basis of the n-th convergence of thiele-type continued fraction expansion,a new type of the generalized inverse matrix-valued pade approximant(GMPA)for matrix exponentials was defined and its remainder formula was proved.The resuts of this paper were illustrated by some examples. 相似文献
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According to the definition of the new hypothetical states which have obvious physical significance and are termed as no-gravity static and accelerated states, a method for exact computation of the parallel robot＇s generalized inertia matrix is presented. Based on the matrix theory, the generalized inertia matrix of the parallel robot can be computed on the assumption that the robot is in these new hypothetical states respectively. The approach is demonstrated by the Delta robot as an example. Based on the principle of the virtual work, the inverse dynamics model of the robot is formulized after the kinematics analysis. Finally, a numerical example is given and the element distribution of the Delta robot＇s inertia matrix in the workspace is studied. The method has computationa＇, advantage of numerical accuracy for the Delta robot and can be parallelized easily. 相似文献
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WANGJin－bo GUChuan－qing 《上海大学学报(英文版)》2001,5(4):276-281
In this paper,a three-dimensional matrix valued rational interpolant(TGMRI) is first constructed by making use of the generalized inverse of matrices.The interpolants are of the Thiele-type branched continued fraction form,with matrix numerator and scalar denominator,Some properties of TGMRI are given.An efficient recusive algorthm is proposed.The results in the paper can be extend to n-variable. 相似文献
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The reconfigurable manufacturing system （RMS） is the next step in manufacturing, allowing the production of any quantity of highly customized and complex parts together with the benefits of mass production. In RMSs, parts are grouped into families, each of which requires a specific system configuration. Initially system is configured to produce the first family of parts. Once it is finished, the system will be reconfigured in order to produce the second family, and so forth. The effectiveness of a RMS depends on the formation of the optimum set of part families addressing various recon figurability issues. The aim of this work is to establish a methodology for grouping parts into families for effective working of RMS. The methodology carried out in two phases. In the first phase, the correlation matrix is used as similarity coefficient matrix. In the second phase, agglomerative hier archical Kmeans algorithm is used for the parts family for mation resulting in an optimum set of part families for reconfigurable manufacturing system. 相似文献
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In this paper, the maximal and minimal ranks of the solution to a system of matrix equations over H, the real quaternion algebra, were derived. A previous known result could be regarded as a special case of the new result. 相似文献
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刘士平 《上海大学学报(英文版)》2002,6(4):282-287
Schubert‘s method for solving systems of sparse equations has achieved a great deal of computational success.In this paper,Schubert‘s method was extended to multiple version,and the compact representation of multple Schubert‘s updating matrix was derived.The compact representation could be used to efficiently implement limited memory methods for large problems. 相似文献
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Estimating the ultimate bound and positively invariant set for a generalized Lorenz system 总被引：1，自引：1，他引：0
A generalized Lyapunov function was employed to investigate the ultimate bound and positively invariant set of a generalized Lorenz system. We derived an ellipsoidal estimate of the ultimate bound and positively invariant set for the generalized Lorenz system, for all the positive values of system parameters a, b, and c. Our results extend the related result of Li, et al. [Li DM, Lu JA, Wu XQ, et al., Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system, Journal of Mathematical Analysis and Application, 2006, 323（2）： 844-653]. 相似文献
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In this paper, a practical Werner-type continued fraction method for solving matrix valued rational interpolation problem isprovided by using a generalized inverse of matrices. In order to reduce the continued fraction form to rational function form of the in-terpolants, an efficient forward recurrence algorithm is obtained. 相似文献
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A physical model of sinusoidal function was established. It is generalized that the force is directly proportional to a power function of the distance in a classical spring-oscillator system. The differential equation of the generalized model was given Simulations were conducted with different power values. The results show that the solution of the generalized equation is a periodic function. The expressions of the amplitude and the period （frequency） of the generalized equation were derived by the physical method. All the simulation results coincide with the calculation results of the derived expressions. A special function also was deduced and proven to be convergent in the theoretical analysis. The limit value of the special function also was derived. The generalized model can be used in solving a type of differential equation and to generate periodic waveforms. 相似文献
11.
运用特殊矩阵理论,推广了全酉矩阵和(反)全Hermite矩阵概念,给出了广义全酉矩阵和广义(反)全Hermite矩阵的定义,研究了广义全酉矩阵和广义(反)全Hermite矩阵的基本性质,得到了一些相关推论,并揭示了广义全酉矩阵和广义(反)全Hermite矩阵的内在联系. 相似文献
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研究了广义线性系统的极点配置问题，利用矩阵的奇异值分解和矩阵的广义逆得到了广义线性系统的奇异值标准形，使得广义线性系统的极点配置问题转变为正常系统的极点配置问题，从而给出广义线性统极点配置的一种新方法。 相似文献
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万文婷 《荆门职业技术学院学报》2011,(5):53-56
文章讨论了关于权为可逆阵的加权广义逆矩阵的一些性质。利用矩阵的运算及秩的变化的相关结论,结合矩阵的加权广义逆存在时的充要条件与表示式,给出了复数域上两个及三个矩阵乘积的加权广义逆的几个表达式。 相似文献
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采用待定法证明了二阶及上 (下 )三角矩阵A∈PD 的充要条件 ,把广义正定性问题转化为实对称矩阵A∈PD 的正定性问题 ,与文 [1]比较降低了证明难度 ,大大简化了证明过程。 相似文献
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刘思洪 《湖州师范学院学报》2011,33(2):5-11
Vandermonde矩阵是矩阵理论中一个重要的矩阵类型,它的许多广义形式在处理矩阵问题时能起到关键的作用.当子块Di的阶数ι,比较大时,利用分块矩阵法给出了一类广义Vandermonde矩阵D的求逆方法及其逆矩阵的分块结构表达式. 相似文献
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提出P-除环上矩阵的广义逆的概念,证明了除环Q上秩为r的任何m×n矩阵A,必存在唯一的一个广逆B等结论. 相似文献