rank-one modificationSUMMARYIn this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the efficiency of the...
We present a new algorithm for solving an eigenvalue problem for a real symmetric matrix which is a rank-one modification of a diagonal matrix. The algorithm computes each eigenvalue and all components of the corresponding eigenvector with high relative accuracy inO(n)operations. The algorithm is...
In this note, a novel approach to design rank-one – single input – feedback controllers for second-order systems with time delay is presented. The versatile, well-known receptance modeling is combined with classical frequency response methods of control design, and the feedback gains are comput...
2. The bounds of the eigenvalues for rank-one modification of Hermitian matrix [J] . Guanghui Cheng, Zhida Song, Jianfeng Yang, Numerical linear algebra with applications . 2014,第1期 机译:Hermitian矩阵的秩一修改的特征值的界 3. RANK-ONE AND SPARSE MATRIX DECOMPOSITION FOR DYNAMIC MRI ...
modified Wilcoxon rank testpower comparison62G10When testing hypotheses in two-sample problems, the Wilcoxon rank-sum test is often used to test the location parameter, and this test has been discussed by many authors over the years. One modification of the Wilcoxon rank-sum test was proposed ...
A slight modification of our construction in the previous section addresses the existence of non-trivial deformations of F-hyperbolic manifolds (including manifolds with Hermitian structures) trivial in their boundary at infinity. In other words, one is addressing deformations of the quotient spaces (Kl...
The rank-one modification algorithm of the LDM t factorization was given by Bennett [1]. His method, however, could break down even when the matrix is nonsingular and well-conditioned. We introduce a pivoting strategy for avoiding possible break-down as well as for suppressing error growth in...
Bai, Y.F. Su, Nonlinear rank-one modification of the symmetric eigenvalue problem, J. Comput. Math. 28 (2) (2010) 218-234.Huang X, Bai ZJ, Su YF. Nonlinear rank-one modification of the symmetric eigenvalue problem. Journal of Computational Mathematics 2010; 28(2):218-234.HUANG, X....
We present a new algorithm for solving an eigenvalue problem for a real symmetric matrix which is a rank-one modification of a diagonal matrix. The algorithm computes each eigenvalue and all components of the corresponding eigenvector with high relative accuracy in O(n)O(n) operations. The ...
Equality Constrained OptimizationVariable Metric AlgorithmBroyden Rank One ModificationSuperlinear ConvergenceIn this paper, a variable metric algorithm is proposed with Broyden rank one modifications for the equality constrained optimization. This method is viewed expansion in constrained optimization as the ...