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For fixed generalized reflection matrix P, i.e. P
T
= P, P
2 = I, then matrix X is said to be generalized bisymmetric, if X = X
T
= PXP. In this paper, an iterative method is constructed to find the generalized bisymmetric solutions of the matrix equation A
1
X
1
B
1 + A
2
X
2
B
2 + ⋯ + A
l
X
l
B
l
= C where [X
1,X
2, ⋯ ,X
l
] is real matrices group. By this iterative method, the solvability of the matrix equation can be judged automatically. When
the matrix equation is consistent, for any initial generalized bisymmetric matrix group , a generalized bisymmetric solution group can be obtained within finite iteration steps in the absence of roundoff errors,
and the least norm generalized bisymmetric solution group can be obtained by choosing a special kind of initial generalized
bisymmetric matrix group. In addition, the optimal approximation generalized bisymmetric solution group to a given generalized
bisymmetric matrix group in Frobenius norm can be obtained by finding the least norm generalized bisymmetric solution group of the new matrix equation
, where . Given numerical examples show that the algorithm is efficient.
Research supported by: (1) the National Natural Science Foundation of China (10571047) and (10771058), (2) Natural Science
Foundation of Hunan Province (06JJ2053), (3) Scientific Research Fund of Hunan Provincial Education Department(06A017). 相似文献
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测量了(YBa2Cu3O7)24/(PrBa2Cu3O7)2 多层膜在强磁场下的超导转变展宽 .这种YBa2Cu3O7层间具有耦合 退耦合的临界绝缘层PrBa2Cu3O7厚度以及由 3D向 2D过渡的YBa2Cu3O7层厚度的多层膜 ,其不可逆场遵守H ∝ ( 1-t)μ关系 ,其 μ值约为1 ,介于3D( μ =3/2 )和2D( μ =1 /2 )之间 .磁通运动的热激活能的结果表明 ,对于H∥c和H⊥J的磁场位形 ,遵守U∝lnH关系 ,即磁通涡旋处于2D区 .而对于H∥ab和H⊥J ,H∥ab和H∥J两种磁场位形 ,激活能U随磁场的增加而线性减小 ,表明磁通涡旋处于3D态 .讨论了上述维度变化的可能物理机制 . 相似文献
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Meijiao WANG 《数学年刊B辑(英文版)》2016,37(5):643-664
This paper is concerned with stochastic H_2/H_∞ control problem for Poisson jump-diffusion systems with(x, u, v)-dependent noise, which are driven by Brownian motion and Poisson random jumps. A stochastic bounded real lemma(SBRL for short) for Poisson jump-diffusion systems is firstly established, which stands out on its own as a very interesting theoretical problem. Further, sufficient and necessary conditions for the existence of a state feedback H_2/H_∞ control are given based on four coupled matrix Riccati equations. Finally, a discrete approximation algorithm and an example are presented. 相似文献
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本文定义了环F2+uF2+vF2到域F2的广义Gray映射φ像,研究了环F2+uF2+vF2上线性码的广义Gray像.利用广义Gray映射φ的线性性,证明了环F2+uF2+vF2上线性码C的广义Gray像φ(C)满足dH(C)=dH(φ(C))且φ(C⊥)φ(C)⊥.同时,给出了F2+uF2+vF2上循环码C的广义Gray像φ(C)为F2上的4-拟循环码. 相似文献
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This paper consider the (BMAP1, BMAP2)/(PH1, PH2)/N retrial queue with finite-position buffer. The behavior of the system is described in terms of continuous time multi-dimensional Markov chain. Arriving type I calls find all servers busy and join the buffer, if the positions of the buffer are insufficient, they can go to orbit. Arriving type II calls find all servers busy and join the orbit directly. Each server can provide two types heterogeneous services with Phase-type (PH) time distribution to every arriving call (including types I and II calls), arriving calls have an option to choose either type of services. The model is quite general enough to cover most of the systems in communication networks. We derive the ergodicity condition, the stationary distribution and the main performance characteristics of the system. The effects of various parameters on the system performance measures are illustrated numerically. 相似文献
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利用高分辨透射电子显微镜对高Tc YBa2Cu3O7/PrBa2Cu3O7(以下简称为YBCO/PrBCO)超晶格的微结构进行了系统的观察分析,高分辨电子显微象(HREM)表明YBCO/PrBCO超晶格层与层之间具有清晰的衬度,没有界面互扩散,通过HREM象观察,发现衬底表面的原子台阶和缺陷使薄膜最初1—2个晶胞层中出现层错等缺陷,但这些缺陷并没有向薄膜内部扩展,当薄膜厚度超过几个晶胞层后,其结构趋于完整。另外,在HREM照片上还可看出YBCO/PrBCO超晶格的调制周期存在波动,波动范围相当于一个晶胞层厚度,实验结果表明,利用YBCO/PrBCO超晶格研究CuO2面的二维超导电性时,临界温度Tc和临界电流密度Jc的变化不仅与二维CuO2面的失耦程度有关,还会受到各种晶格缺陷的影响,对YBCO/PrBCO超晶格和超薄YBCO膜的输运特性进行理论解释时,必须考虑衬底和晶格缺陷造成的影响。 相似文献
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We prove that the quasi-Banach spaces 1 (p) and p (1), 0 < p < 1 have a unique unconditional basis up to permutation 相似文献
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用透射光谱法和光热偏转谱法测得了C60和C70薄膜在宽能量范围(0.6到6.5 eV)的光谱,并计算了吸收系数.根据分子轨道模型分析了C60和C70薄膜的光跃迁行为.Fuller烯薄膜的弱吸收光谱与非晶硅的类似.用Tauc公式确定了C60和C70薄膜的光学带隙分别为1.75和1.65eV.Urbach吸收边和亚隙吸收表明Fuller烯薄膜中存在无序状态,导致带尾态和缺陷态,这虽非C60或C70薄膜所固有,但无序的存在给准确测定Fuller烯薄膜的禁带宽度带来障碍.讨论了偏转介质与衬底对Fuller烯薄膜的弱吸收光谱的影响. 相似文献
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对于一个有限简单图G,λKv的G-设计(G-填充,G-覆盖),记为(v,G,λ)-GD((v,G,λ)-PD,(v,G,λ)-CD),是一个(X,B),其中X是Kv的顶点集,B是Kv的子图族,每个子图(称为区组)均同构于G,且Kv中任一边都恰好(最多,至少)出现在B的λ个区组中.一个填充(覆盖)设计称为是最大(最小)的,如果没有其它的这种填充(覆盖)设计具有更多(更少)的区组.本文对于λ>1确定了(v,K2,3,λ)-GD的存在谱,并对任意λ构造了λKv的最大K2,3-填充设计和最小K2,3-覆盖设计. 相似文献
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本文采用X射线衍射,热学分析、超导电性测量等方法测定了La2O3-CuO,BaO-CuO,Y2O3-CuO二元系相图,BaO-La2O3-CuO,BaO-Y2O3-CuO三元系室温截面。在这两个三元系的富CuO区,存在BaxLa2-x CuO4(x≤0.07),BaLaCu2O5+δ,BaLa4Cu5O14+δ,BaLa2Cu2O6和Ba2YCu3O9-y,BaY2CuO9化合物。BaxLa2-x,CuO4(x≤0.07),BaLa4Cu5O14+δ,BaLaCu2O5+δ,BaLa2Cu2O6均属四方晶系,点阵常数分别为a=5.356,c=13.20;a=8.660,c=3.863;a=3.917,c=11.75;a=3.992,c=19.96.Ba2YCu3O9-y属正交畸变钙钛矿结构,a=3.892,b=3.824,c=11.64,空间群为Pmmm。BaY2CuO5具有正交结构,a=7.123,b=12.163,c=5.649;空间群为Pbnm。研究了组成与超导电性的关系,考查了烧结温度对Ba2YCu3O9-y化合物结构和超导电性的影响,并对超导电性产生的原因进行了讨论。 相似文献
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