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1.Let MX=(■) be a 2×2 operator matrix acting on the Hilbert space H?K.
设A∈B(H),B∈B(K),C∈B(K,H)给定,对X∈B(H,K),定义MX=(■)H?K→H?K.收藏指正
2.For given A ∈ B(H), B ∈ B(K), let M_C denote the 2 × 2 upper triangular operator matrix:In recent ten years, the problems on perturbations of spectra of 2 × 2 upper triangular operator matrices have obsorbed many scholars, such as H. K.
如果A∈B(H),B∈B(K)给定,设C∈B(K,H),我们用M_C表示H?K上的2×2上三角算子矩阵,其具体形式如下: 近十年来,2×2上三角算子矩阵的谱扰动问题吸引了一大批学者,如杜鸿科,D.收藏指正
3.The traditional semi-inverse solution method of the Saint Yenant problem,which is described in the Euclidian space under the Lagrange system formulation,is updated to be solved in the symplectic space under the conservative Hamiltonian system. It is proved in the present paper that all the Saint Yenant solutions can be obtained directly via the zero eigenvalue solutions and all their Jordan normal form of the corresponding Hamiltonian operator matrix.
本文一改传统的在Lagrange体系欧几里德空间中用半道法讨论Saint－Venant问题的方法，而在具有守恒性的Hamilton体系中辛空间里研究该问题．通过讨论Hamilton算子矩阵的零本征值及其Jordan型，直接求解出全部Saint－Venant问题的解．收藏指正
4.In this paper math model on dynamic measurement of hull temperature is founded according to defining column circle shift operator in matrix In order to insuring validity of the temperature testing data,a new tolerating measure method based on time serial forecast is put forward Base on three concepts of "known message"?
在定义矩阵列循环平移算子的基础上建立了艇体温度动态测试的数学模型 ,从确保温度测试数据有效性出发 ,提出了基于时间序列预测的容错测试方法。收藏指正
5.In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.
对于 n阶一般的非线性动力系统 ,根据线性算子的不变子空间理论和共轭算子概念 ,提出一种计算其规范形的新的矩阵表示方法。收藏指正
6.The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。收藏指正
7.Then, we find the Yang-Baxter equation satisfied by the monodromy matrix defined through Lax operator. Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.
接着找到了由Lax矩阵所定义的monodromy矩阵所满足的Yang-Baxter方程(YBE)，利用monodromy矩阵对谱参数的展开可找出无穷多守恒量，从而证明了此模型的可积性；收藏指正
8.The Evolution Operator of a Kind of Oscillator with Time Dependent Extra Source and Their Feynman Transfer Matrix Element
一类含时外源谐振子的演化算符及其Feynman转移矩阵元收藏指正
9.By using delta operator,the continuous time algebraic Riccati equation (CARE) and the discrete time algebraic Riccati equation (DARE) can be treated in the unified delta framework. The matrix bounds for the solution matrix of the unified algebraic Riccati equation (UARE) is presented,and the relations between P,R and Q of UARE are also given.
基于Delta算子描述 ,统一研究连续时间代数Riccati方程 (CARE)和离散时间代数Riccati方程 (DARE)的定界估计问题 ,提出了统一代数Riccati方程 (UARE)解矩阵的上下界 ,给出UARE中P与R和Q的几个基本关系收藏指正
10.In the course of carrying out the propagation of wavepacket using split operator method,discrete variable representations (DVRs) and DVR-FBR (finite basis representation) are used. This method decreases the requirement of storing a large transformation matrix in the wavepacket propagation.
在利用分解算符法进行波包传播的过程中，采取了分立变量表象（DVR）及分立交量－有限基表象（DVR—FBR）变换，这一方法降低了传播过程中需保存大变换矩阵的要求。收藏指正
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