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1.
Jun Ji 《计算数学(英文版)》1989,7(4):327-333
Algebraic perturbation methods were first proposed for the solution of nonsingular linear systems by R. E. Lynch and T. J. Aird [2]. Since then, the algebraic perturbation methods for generalized inverses have been discussed by many scholars [3]-[6]. In [4], a singular square matrix was perturbed algebraically to obtain a nonsingular matrix, resulting in the algebraic perturbation method for the Moore-Penrose generalized inverse. In [5], some results on the relations between nonsingular perturbations and generalized inverses of $m\times n$ matrices were obtained, which generalized the results in [4]. For the Drazin generalized inverse, the author has derived an algebraic perturbation method in [6]. In this paper, we will discuss the algebraic perturbation method for generalized inverses with prescribed range and null space, which generalizes the results in [5] and [6]. We remark that the algebraic perturbation methods for generalized inverses are quite useful. The applications can be found in [5] and [8]. In this paper, we use the same terms and notations as in [1]. 相似文献
2.
We investigate methods for efficiently implementing a class of incomplete factorization preconditioners which includes Symmetric Gauss Seidel [9]. SSOR [9], generalized SSOR [1]. Dupont Kendall Rachford [4]. ICCG(0) [7], and MICCG(0) [6]. Our techniques can be extended to similar methods for nonsymmetric matrices. 相似文献
3.
Ambroży Wójcik 《Compositio Mathematica》1998,111(3):289-304
In the paper we find a further generalization of congruences of the K. Hardy and K. S. Williams [5] type which seems to be a full generalization of congruences of G. Gras [4]. Moreover we extend results of [5], [7], [8], [9] and in part of [6]. We apply ideas and methods of [2], [7] and [9]. 相似文献
4.
5.
11尬roductlonIn this paper;we study the exlstence ofnonneg时Ive solutions ofone dl-menslonal-Lapfaclan boundary value problems一(电N》’二入M;0<x<1,儿1)u’仰二0,*’川十口叫)二0,队2)where入>0md a>0 are parmetersmd f E C’[0,1],屯(。)=I冲-‘。,p>1二This problem ppears In the study ofnon-Newtonlan luids(see[1;2])andnon-Newtonlan iltratlon(see[3]).The quantity p Is a characteristic of*theteristicmadium.Media with p>2 are called dllatantn"ids and those with p<2 arecalled pseudop… 相似文献
6.
曾庆光 《应用数学与计算数学学报》1995,9(1):89-96
本文我们考虑具有线性约束凹函数的最优化问题,利用我们的算法和变尺度修正公式,提出了一个结构简单的组合算法,并在「2」,「3」和「4」同样的假设条件下,证明了该算法的收敛性和超线性收敛速度,从而使该算法比原有各算法更具实用性。 相似文献
7.
C. Carstensen 《Numerische Mathematik》1991,59(1):349-360
Summary In this note a new companion matrix is presented which can be interpreted as a product of Werner's companion matrices [13]. Gerschgorin's theorem yields an inclusion of the roots of a polynomial which is best in the sense of [4] and generalizes a result of L. Elsner [5]. This inclusion is better than the one due to W. Börsch-Supan in [1].Dedicated to Professor E. Stein on the occasion of his 60th birthday. 相似文献
8.
9.
林甲富 《数学的实践与认识》1999,(3)
本文用初等的方法研究sum from n=1 to(1/n~(2m))(m∈N)的求和问题。这个问题最先由Euler[8]解决。文献[1][6]给出了另两种求解方法。特别地,对于m=1的情形,即sum from n=1 to ∞(1/n~2)=((π~2)/6),已有许多不同的证明方法,可见文献[2][3][4][5]以及那里的参考文献。本文的想法,主要受文献[5][6]的启发而来的。 相似文献
10.
Summary This note is related to an earlier paper by Bhatia, Davis, and Kittaneh [4]. For matrices similar to Hermitian, we prove an
inequality complementary to the one proved in [4, Theorem 3]. We also disprove a conjecture made in [4] about the norm of
a commutator.
This work was done when the first author visited the SFB 343 at University of Bielefeld in May and June 1994. 相似文献
11.
文[4]对简单形式的微分多项式fkf’+a的零点分布进行了讨论,文[1]对一般形式的微分多项式fkQ[f]+P[f]的零点分布进行了讨论.但由于极点给证明带来的困难,这些工作主要是对整函数来做的.本文证明了任一满足δ(∞,f)>k+2ΓQ+3ΓP+2/2k+2ΓQ+1的超越亚纯函数f,微分多项式fkQ[f]+P[f]在不含f,Q[f]极点和P[f]零、极点的可数个圆盘并集之外有无穷多个零点,其中k≥3Γp+2,而ΓQ,ΓP分别是f的微分多项式Q[f],P[f]的权.文[1]和[2,4,6]中的结论是本文结论的特殊情况. 相似文献
12.
Jürgen Richter-Gebert 《Discrete and Computational Geometry》1993,10(1):287-312
This paper deals with various connections of oriented matroids [3] and weaving diagrams of lines in space [9], [16], [27].
We encode the litability problem of a particular weaving diagramD onn lines by the realizability problem of a partial oriented matroid χ
D
with2n elements in rank 4. We prove that the occurrence of a certain substructure inD implies that χD is noneuclidean in the sense of Edmonds, Fukuda, and Mandel [12], [14]. Using this criterion we construct an infinite class
of minor-minimal noneuclidean oriented matroids in rank 4. Finally, we give an easy algebraic proof for the nonliftability
of the alternating weaving diagram on a bipartite grid of 4×4 lines [16]. 相似文献
13.
Preben Dahl Vestergaard 《Graphs and Combinatorics》1991,7(2):197-204
The graphs whose spanning unicyclic subgraphs partition into exactly two isomorphism classes are characterized.This work is a continuation of [6] where graphs with one isomorphism class of spanning unicyclic graphs are characterized. The analogous question for spanning trees was posed in [10] and graphs with one isomorphism class of spanning trees were characterized in [2], [3], [4], [7], [11] while graphs with two isomorphism classes of spanning trees were characterized in [4], [5]. Related topics are treated in [1], [8], [9]. 相似文献
14.
Jürgen Tölke 《Journal of Geometry》2002,73(1-2):194-198
The isotropic analogue of the cubic of Cazamian [2] was studied by O. R?schel [4]. We prove two additional results. These
are similar to those of H. Sachs [5] and O. R?schel [4, Theorem 4] for the isotropic ABRAMESCU-circle. We make use of the
projective differential geometry [1,3].
Received 20 November 2000. 相似文献
15.
A further combinatorial study of Entries 16 and 17 in chapter 3 of Ramanujan's second notebook [1] leads to a refinement of Cayley's formula for counting trees and generalizes the recent results derived by Shor [13], and Dumont and Ramamonjisoa [5]. Our approach also yields a new proof of Clarke's extension of Cayley's formula [4]. 相似文献
16.
Hans Günzler 《Rendiconti del Circolo Matematico di Palermo》2005,54(1):5-36
For the finitely additive case approximate Radon-Nikodym representations are obtained in the setting of Riesz algebras, complementing
and generalizing results of Bochner [4], Fefferman [10], de Amo, Chitescu and Díaz Carrillo [1]. Furthermore the possible
relations between the various spaces which appear here are given, answering a question of [1]. Various examples show that
our results are sharp, there also the class of approximately representable functionals is explicitly characterized, a partial
answer to another question of [1]. Finally some open questions are listed. 相似文献
17.
Thierry Cazenave Fred. B. Weissler 《NoDEA : Nonlinear Differential Equations and Applications》1998,5(3):355-365
We prove the existence of self-similar solutions of the Schr?dinger equation in with the power nonlinearity . Existence is obtained for a range of which differs from, but overlaps with, the range of powers considered in [4]. We also obtain regularity results for the self-similar
solutions constructed in [4].
Received May 16, 1997 相似文献
18.
Lu Chuanpong 《数学年刊B辑(英文版)》1991,12(1):122-130
The author discusses how big the lag increments of a two-parameter Wiener processare and proves the same results as in[4].These results extende and improve the results ofthe increments of a two-parameter Wiener process in[1—3]. 相似文献
19.
This paper is a sequel to [4]. We establish the minimal basis theory for the centralizers of parabolic subalgebras of Iwahori-Hecke algebras associated to finite Coxeter groups of any type, generalizing the approach introduced in [3] from centres to the centralizer case. As a pro-requisite, we prove a reducibility property in the twisted J-conjugacy classes in finite Coxeter groups, which is a generalization of results in [7] and [4].2000 Mathematics Subject Classification: 20C08, 20F55 相似文献
20.
The problem of the equilibrium of a liquid enclosed in a vessel heated from below has been considered by Sorokin [1], Iudovich and Ukhovskii [2] and Velt [3]. It has been established that if the Rayleigh number λ exceeds a certain critical value λ0, then secondary steady flows arise in the liquid.
The stability of a conductive liquid heated from below has been studied by many authors. The most complete and general studies are those of Sorokin and Sushkin [4], whose paper contains the appropriate bibliography, and that of Shliomis [5]. The results of [4 and 5] make clear the physical picture of the phenomena associated with the heating of a conductive fluid and indicate the possible existence of secondary steady and periodic flows.
The existence of steady convective flows in a conductive liquid are proved below. Our study is based on the procedure set forth in [2]. 相似文献