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1.
Recently, basing on a suitable application of Milne-Bhatnagar's characterization theorem about matrix inversions, we have found that Warnaar's elliptic matrix inversion can be further extended to the following general inversion theorem.  相似文献   

2.
The theorem here discussed resembles typical Tauberian theoremsin being a partial inver of Abel's theoem on power series,butdiers in the uature of the auxiliary hypothesis imposed to permitthe inversion.The classical Tauberian theorem of Hardy and littlewood  相似文献   

3.
<正> The theorem here discussed resembles typical Tauberian theoremsin being a partial inver of Abel's theoem on power series,butdiers in the uature of the auxiliary hypothesis imposed to permitthe inversion.The classical Tauberian theorem of Hardy and littlewood  相似文献   

4.
强p除环上方阵的酉相似理论(Ⅲ)   总被引:4,自引:2,他引:2  
In this third paper, the famous Schur theorem that an n× n complex matrix is unitary similar to an upper triangular matrix is generalized to the socalled ∑-lizable matrix over the strong p-division ring Ω, where ∑ is the algebraically closed extension field of the center of Ω , and ∑?Ω.The generalized Schur's identity and other results involving the general-ized normal matrix over Ω is obtained by using this generalized Schur theorem.  相似文献   

5.
In this paper,a compound-type inclusion interval of basic coneigenvalues of(com- plex)matrix is obtained.The corresponding boundary theorem and isolating theorem are given.  相似文献   

6.
实对称矩阵和与差的一些特征值与F-范数不等式   总被引:1,自引:0,他引:1  
In this paper some characteristic value and F-norm inequalities of matrix sum and matrix difference are studied the results are extension of HoffmanWielandt theorem.  相似文献   

7.
In this paper,the main results are concluded in theorem 1 and theorem 4.Theorem 1 Let A,b be nxn matrix and re-dimensional vector respectively,which can be represented exactly in the computer.If W is a nonsingu-lar nXn matrix such that ||I-WA||<1 then for any algorithm the errors of the sulution of linear equations Ax - b (1) satisfy the following inequalities  相似文献   

8.
This note announces an improvement and an extension of the generalizedMobius-Rota inversion theorem obtained previously [1]. Throughout use has been made of non-standard analysis so that *R,*N,ωand ε=1/ω have familiar meanings.  相似文献   

9.
We present componentwise condition numbers for the problems of Moore-Penrose generalized matrix inversion and linear least squares. Also, the condition numbers for these condition numbers are given.  相似文献   

10.
This paper derives a theorem of generalized singular value decomposition of quaternion matrices (QGSVD),studies the solution of general quaternion matrix equation AXB -CYD= E,and obtains quaternionic Roth's theorem. This paper also suggests sufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation.  相似文献   

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