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1.
矩形网格上二元向量有理插值的对偶性   总被引:18,自引:0,他引:18  
朱功勤  檀结庆 《计算数学》1995,17(3):311-320
矩形网格上二元向量有理插值的对偶性朱功勤,檀结庆(合肥工业大学)THEDUALITYOFBIVSRIATEVECTORVALUEDRATIONALINTERPOLANTSOVERRECTANGULARGRIDS¥ZhuGong-qin;TanJie-...  相似文献   

2.
ACLASSOFSINGULARPERTURBATIONSFORSECONDORDERQUASI-LINEARBOUNDARYVALUEPROBLEMSONINFINITEINTERVALZHAOWEILI(赵为礼)(DepartmentofMath...  相似文献   

3.
THEGENERALSCHEMEFORHIGHER-ORDERDECOMPOSITIONSOFZERO-CURVATUREEQUATIONSASSOCIATEDWITH■(2)¥ZENGYUNBO(曾云波)(DeportmentofAppliedMa...  相似文献   

4.
ONGLOBALSOLUTIONFORACLASSOFSYSTEMSOFMULTI-DIMENSIONALGENERALIZEDZAKHAROVTYPEEQUATIONGUOBOLING(郭柏灵)(InstituteofAppliedandCompu...  相似文献   

5.
孙志忠 《计算数学》1995,17(1):1-12
一类抛物-椭圆耦合方程组混合初边值问题的二阶收敛差分格式Ⅰ孙志忠(东南大学数学力学系)ASECOND-ORDERDIFFERENCESCHEMEFORTHEMIXEDINITIAL-BOUNDARYVALUEPROBLEMOFACLASSOFPARA...  相似文献   

6.
一类抛物-椭圆耦合方程组混合初边值问题的二阶收敛差分格式Ⅰ孙志忠(东南大学数学力学系)ASECOND-ORDERDIFFERENCESCHEMEFORTHEMIXEDINITIAL-BOUNDARYVALUEPROBLEMOFACLASSOFPARA...  相似文献   

7.
广义Chebyshev-Vandermonde方程组的快速算法与求逆公式成礼智(国防科技大学)INERSIONFORMULAANDFASTSOLUTIONFORGENERALCHEBYSHEV-VANDERMONDEEQUATIONS¥ChengLi...  相似文献   

8.
成礼智 《计算数学》1996,18(2):177-182
广义Chebyshev-Vandermonde方程组的快速算法与求逆公式成礼智(国防科技大学)INERSIONFORMULAANDFASTSOLUTIONFORGENERALCHEBYSHEV-VANDERMONDEEQUATIONS¥ChengLi...  相似文献   

9.
BOUNDEDNESSANDBLOWUPFORTHEGENERALACTIVATOR-INHIBITORMODELLiMINGDE(李名德);CHENSHAOHUA(陈绍华);QINYUCHUN(秦禹春)(DepartmentofMathematic...  相似文献   

10.
SYMMETRIES,B■CKLUNDTRANSFORMATIONSANDBOUNDARY-INITIALVALUEPROBLEMSFORNONLINEARCHROMATOGRAPHYEQUATIONWangMingliang(王明亮)(Dept.o...  相似文献   

11.
Lagrange基函数的复矩阵有理插值及连分式插值   总被引:1,自引:0,他引:1  
1引言 矩阵有理插值问题与系统线性理论中的模型简化问题和部分实现问题有着紧密的联系~[1][2],在矩阵外推方法中也常常涉及线性或有理矩阵插值问题~[3]。按照文~[1]的阐述。目前已经研究的矩阵有理插值问题包括矩阵幂级数和Newton-Pade逼近。Hade逼近,联立Pade逼近,M-Pade逼近,多点Pade逼近等。显然,上述各种形式的矩阵Pade逼上梁山近是矩  相似文献   

12.
In this paper, some properties of the rational positive real matrix are discussed by means of coprime fraction of a rational matrix. Some equivalent conditions which are natural extension of the rational positive real function, are given for testing a rational positive real matrix.  相似文献   

13.
The main theme of this paper is the discussion of a family of extremal solutions of a finite moment problem for rational matrix functions in the nondegenerate case. We will point out that each member of this family is extremal in several directions. Thereby, the investigations below continue the studies in Fritzsche et al. (in press) [1]. In doing so, an application of the theory of orthogonal rational matrix functions with respect to a nonnegative Hermitian matrix Borel measure on the unit circle is used to get some insights into the structure of the extremal solutions in question. In particular, we explain characterizations of these solutions in the whole solution set in terms of orthogonal rational matrix functions. We will also show that the associated Riesz-Herglotz transform of such a particular solution admits specific representations, where orthogonal rational matrix functions are involved.  相似文献   

14.
The matrix valued rational interpolation is very useful in the partial realization problem and model reduction for all the linear system theory. Lagrange basic functions have been used in matrix valued rational interpolation. In this paper, according to the property of cardinal spline interpolation, we constructed a kind of spline type matrix valued rational interpolation, which based on cardinal spline. This spline type interpolation can avoid instability of high order polynomial interpolation and we obtained a useful formula.  相似文献   

15.
Algorithms to solve large sparse eigenvalue problems are considered. A new class of algorithms which is based on rational functions of the matrix is described. The Lanczos method, the Arnoldi method, the spectral transformation Lanczos method, and Rayleigh quotient iteration all are special cases, but there are also new algorithms which correspond to rational functions with several poles. In the simplest case a basis of a rational Krylov subspace is found in which the matrix eigenvalue problem is formulated as a linear matrix pencil with a pair of Hessenberg matrices.  相似文献   

16.
首先提出了二元对角向量值有理插值问题,它包括主对角和副对角两种向量值有理插值,并分别给出了主对角线和副对角线上向量值有理插值的两种算法,即直接求系数bi,j的算法和基于Samelson广义逆所定义的特殊初等变换的矩阵算法.然后构造了在预给极点情况下求主对角线和副对角线上向量值有理插值的矩阵算法.最后给出多个数值例子说明上述算法的有效性.  相似文献   

17.
In this paper we study direct and inverse problems for discrete and continuous skew‐selfadjoint Dirac systems with rectangular (possibly non‐square) pseudo‐exponential potentials. For such a system the Weyl function is a strictly proper rational matrix function and any strictly proper rational matrix function appears in this way. In fact, extending earlier results, given a strictly proper rational matrix function we present an explicit procedure to recover the corresponding potential using techniques from mathematical system and control theory. We also introduce and study a nonlinear generalized discrete Heisenberg magnet model, extending earlier results for the isotropic case. A large part of the paper is devoted to the related discrete systems of which the pseudo‐exponential potential depends on an additional continuous time parameter. Our technique allows us to obtain explicit solutions for the generalized discrete Heisenberg magnet model and evolution of the Weyl functions.  相似文献   

18.
The main subject of the paper is an in-depth analysis of Weyl matrix balls which are associated with a finite moment problem for rational matrix functions in the nondegenerate case. Thereby, the investigations tie in with preceding studies on a class of extremal solutions of the moment problem in question. We will point out that each member of this class is also extremal concerning the parameters of Weyl matrix balls. The considerations lead to characterizations of these particular solutions within the whole solution set of the problem. In doing so, an application of the theory of orthogonal rational matrix functions with respect to a nonnegative Hermitian matrix Borel measure on the unit circle is used to get that insight.  相似文献   

19.
We consider an interpolation problem of Nevanlinna–Pick type for matrix‐valued Carathéodory functions, where the values of the functions and its derivatives up to certain orders are given at finitely many points of the open unit disk. For the non‐degenerate case, i.e., in the particular situation that a specific block matrix (which is formed by the given data in the problem) is positive Hermitian, the solution set of this problem is described in terms of orthogonal rational matrix‐valued functions. These rational matrix functions play here a similar role as Szegő's orthogonal polynomials on the unit circle in the classical case of the trigonometric moment problem. In particular, we present and use a connection between Szegő and Schur parameters for orthogonal rational matrix‐valued functions which in the primary situation of orthogonal polynomials was found by Geronimus. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)  相似文献   

20.
In this paper, the existence of a relationship between the degrees of polynomials in any given rational matrix and the degrees of the polynomials in the inverse of that matrix is explained and proved.  相似文献   

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