共查询到20条相似文献,搜索用时 73 毫秒
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带位移的QL算法是目前求解中小规模对称矩阵全部特征值的最有效手段.设实对称矩阵已通过正交相似变换化为对称不可约三对角矩阵T, 相似文献
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带位移的QL算法是目前求解中小规模对称矩阵全部特征值的最有效手段.设实对称矩阵已通过正交相似变换化为对称不可约三对角矩阵T, 相似文献
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是在对完全对称雅可比矩阵及相应次对称矩阵对比研究的基础上,导出了完全次对称雅可比矩阵的特征值和相应特征向量之间的某些十分有趣的性质. 相似文献
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关于对称块轮换矩阵的注记 总被引:3,自引:0,他引:3
本文研究了对称块轮换矩阵和对称块轮换矩阵束的特征值和广义特征值问题。导出了它们的特征分解。当对称块轮换矩阵的每个块本身也是轮换矩阵时,本文的结果校正了[2]中的错误。 相似文献
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In this paper we study the computation of symmetric systems of bilinear forms over finite fields via symmetric bilinear algorithms. We show that, in general, the symmetric complexity of a system is upper bounded by a constant multiple of the bilinear complexity; we characterize symmetric algorithms in terms of the cosets of a specific cyclic code, and we show that the problem of finding an optimal symmetric algorithm is equivalent to the maximum-likelihood decoding problem for this code. 相似文献
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对称双正型线性互补问题的多重网格迭代解收敛性理论 总被引:4,自引:0,他引:4
多重网格法是七十年代产生并获得迅速发展的快速送代法.八十年代初,此方法开始应用于变分不等式的求解,其中包括一类互补问题,近十年来大量的数值实验证实,算法是成功的,而算法的收敛性理论也正在逐步建立,当A正定对称时的多重网格收敛性可见[3]和[7];[4]讨论了A半正定时的情况·本文考虑A为更广的一类矩阵:对称双正阵(见定义1.1),建立互补问题: 相似文献
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Michael Struwe 《Mathematische Zeitschrift》2002,242(3):407-414
By a blow-up analysis as in [8] for a related problem we rule out concentration of energy for radially symmetric wave maps
from the (1+ 2)-dimensional Minkowski space to the sphere. When combined with the local existence and regularity results of
Christodoulou and Tahvildar-Zadeh for this problem, our result implies global existence of smooth solutions to the Cauchy
problem for radially symmetric wave maps for smooth radially symmetric data.
Received: 1 November 2000; in final form: 12 April 2001 / Published online: 1 February 2002 相似文献
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Marcel Schweitzer 《Numerical Algorithms》2017,74(1):1-18
The Lagrange interpolation problem on spaces of symmetric bivariate polynomials is considered to reduce the interpolation problem to problems of approximately half dimension. The Berzolari-Radon construction is adapted to these kinds of problems by considering nodes placed on symmetric lines or symmetric pairs of lines. A Newton formula for the symmetric interpolant using the Berzolari-Radon construction is proposed. 相似文献
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Jun-Yi Fu 《Journal of Mathematical Analysis and Applications》2003,285(2):708-713
The symmetric vector quasi-equilibrium problem is introduced. Under suitable assumptions, the symmetric vector quasi-equilibrium problem is solvable. As its applications, a coincidence point theorem and the existence of vector optimization problem for a pair of vector-valued mappings are reduced. 相似文献
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本文研究了一类四阶奇异边值问题.通过建立一个特定的锥,利用Leggett-Williams不动点定理,从而在一定的条件下得到一类四阶奇异边值问题对称正解的最优存在性,推广了奇异边值问题对称正解的最优存在性的结果. 相似文献
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Bishnu P. Lamichhane Ernst P. Stephan 《Numerical Methods for Partial Differential Equations》2012,28(4):1336-1353
We present a symmetric version of the nonsymmetric mixed finite element method presented in (Lamichhane, ANZIAM J 50 (2008), C324–C338) for nearly incompressible elasticity. The displacement–pressure formulation of linear elasticity is discretized using a Petrov–Galerkin discretization for the pressure equation in (Lamichhane, ANZIAM J 50 (2008), C324–C338) leading to a non‐symmetric saddle point problem. A new three‐field formulation is introduced to obtain a symmetric saddle point problem which allows us to use a biorthogonal system. Working with a biorthogonal system, we can statically condense out all auxiliary variables from the saddle point problem arriving at a symmetric and positive‐definite system based only on the displacement. We also derive a residual based error estimator for the mixed formulation of the problem. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012 相似文献
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在拓扑向量空间中,利用Ky Fan截口定理得到一个锥凸向量拟均衡问题弱Pareto解的存在性结果.作为该结果的应用,得到了一个对称向量拟均衡问题在支付映射为锥凸条件下弱Pareto解的存在性定理.该定理在较弱的条件下回答了Fu在文献[1]中提出的第二个问题,即在支付映射为锥凸且连续的条件下对称向量拟均衡问题的弱Pareto解是否存在.最后在赋范线性空间中研究了锥凸对称向量拟均衡问题弱Pareto解集的通有稳定性. 相似文献
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The Lyapunov-type least-squares problem over symmetric cone is to find the least-squares solution of the Lyapunov equation with a constraint of symmetric cone in the Euclidean Jordan algebra, and it contains the Lyapunov-type least-squares problem over cone of semidefinite matrices as a special case. In this paper, we first give a detailed analysis for the image of Lyapunov operator in the Euclidean Jordan algebra. Relying on these properties together with some characterizations of symmetric cone, we then establish some necessary and?or sufficient conditions for solution existence of the Lyapunov-type least-squares problem. Finally, we study uniqueness of the least-squares solution. 相似文献