Based on matrix optimal approximation and weighted residuals theory, the matrix approximation and the extremal algorithm for resolving inverse problems of vibration engineering are integrated with least squares problem under definition of norms in this paper.
根据矩阵最佳逼近与加权残值理论 ,把求解振动反问题时所使用的矩阵逼近法和极值化算法统一为不同范数定义下的最小二乘问题 ,这对部分振频和 /或振型给定情况下振动反问题的求解提供了一个有效工具。
From the eigenequation and the orthogonality conditions a best matrix approximation technique for updated analytical model based on test identified modal parameters is presented in this paper.
本文从特征方程和模态正交条件出发，给出了一种应用模态参数识别结果修正理论模型的最佳矩阵逼近方法。
For uncertain continuous system and uncertain discrete-time system with input contraints,the optimization problem with given expectation value of performance index is discussed,which can be transformed into the problem of matrix approximation with matrix inequalities contraints.
针对不确定连续系统和具有控制约束的不确定离散系统,讨论了具有给定性能指标期望值的最优控制问题,这一问题可转变为具有矩阵不等式约束的矩阵逼近问题,而且进一步把解决具有矩阵不等式约束的矩阵逼近问题转变成具有线性矩阵不等式约束的广义特征值最小化问题,并结合算例说明通过LMI工具箱中的求解器可求出系统的最优解。
The Algorithm of Approximating a Given Matrix with a Hankel Matrix of Lower Rank and Weighted Approximations;
低秩Hankel矩阵逼近及其加权逼近的算法
The approximation problems of any matrix in circle matrix are studied.
研究了任意矩阵在循环矩阵中的逼近问题。
Two Classes of Symplectic Matrices Constrained Matrix Equation Problem and Their Optimal Approximations;
两类辛矩阵的约束矩阵方程问题及其最佳逼近
Best Approximate Solutions of the Matrix Inverse Problems with Some Submatrixes Constraint
子矩阵约束下矩阵反问题的最佳逼近解
Constrained Solutions for Several Kinds of Linear Matrix Equations and Their Approximations;
几种线性矩阵方程的约束解及其逼近
The Optimal Approximation of Matrices on Some Closed Convex Cone;
矩阵在闭凸锥上的最佳逼近(英文)
The Reflexive Solutions of Matrix Equation A~HXA=B and the Optimal Approximation;
矩阵方程A~HXA=B的自反解及其最佳逼近
The Least-square Solutions and Optimal Approximation of Matrix Equation;
矩阵方程的最小二乘解及其最佳逼近
The Consistency Approximation and Ranking Method for Fuzzy Judgement Matrix;
模糊判断矩阵一致性逼近及排序方法
Algorithm for the Optimal Approximation Solution of the Matrix Equation
求解一类矩阵方程最佳逼近解的算法
The Anti-bisymmetric Matrices Optimal Approximation Solution of Matrix Equation AX=B
矩阵方程AX=B的双反对称最佳逼近解
Optimal Approximation Problem of Antireflexive Matrices under the Spectral Restriction
谱约束下反自反矩阵的最佳逼近问题
The Best Approximation Problem for Generalized Hermitian Matrices
广义Hermite矩阵的最佳逼近问题
The Questions of Least-squares and the Optimal Approximation of the Generalized Reflexive Matrices and Generalized Anti-reflexive Matrices;
广义自反矩阵和广义反自反矩阵的最小二乘及其最佳逼近问题
A kind of Constrained Matrix Equation Problem and the Optimal Approximation for Bi-symmetric Matrix;
双对称矩阵的一类约束矩阵方程问题及其最佳逼近
Inverse Problem of Doubly Center Matrices under Submatrix Constraint and Its Optimal Approximation
子矩阵约束下的双中心矩阵反问题及其最佳逼近
The Theory and Algorithm for Solving a Class of Matrix Nearness Problem;
求解一类矩阵最佳逼近问题的理论和算法
Weighted Matrix Padé-type Approximation and Its Applications in Control Theory;
加权的矩阵Padé-型逼近及其在控制论中应用