Tchebyshev Acceleration Technique for Large Scale Nonsymmetric Matrices.
The AB-algorithm and its properties
The analytic SVD: on the non-generic points on the path.
The anti-symmetric ortho-symmetric solutions of the matrix equation XA=D.
The convergence of a new method for calculating lower bounds to eigenvalues
The Convergence of the Method of Conjugate Gradients at Isolated Extreme Points of the Spectrum.
The -stability problem for real matrices
We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
The Economical Storage of Plane Rotations.
The eigenvalue problem and Jacobean-like methods for its solution
The eigenvalues of Hermite and rational spectral differentiation matrices.
The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.
The Method of Coordinate Overrelaxation for (A Â? ... B) x = 0 .
The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.
The parametrized algorithm for Hamiltonian matrices.
The Perturbation Bounds for Eigenspaces of a Definite Matrix-Pair
The structured distance to nearly normal matrices.
The symmetric minimal rank solution of the matrix equation and the optimal approximation.
Transfer functions and resolvent norm approximation of large matrices.
Truncated methods for large scale generalized eigenvalue problems.
Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values
We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.