期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2021; 28 (5)
We discuss the use of a matrix-oriented approach for numerically solving the dense matrix equation AX + XA(T) + M1XN1 + horizontal ellipsis + MlXNl = ......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2021; 28 (5)
We consider the numerical solution of large scale singular (continuous-time) Lyapunov equations of the form AX + XA(T) + BBT = 0, where A is semistabl......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
In this paper, we present explicit expressions for the mixed and componentwise condition numbers of the truncated total least squares (TTLS) solution ......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
Principal component analysis (PCA) is widely used for dimensionality reduction and unsupervised learning. The reconstruction error is sometimes large ......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
It is known that the solutions to space-fractional diffusion equations exhibit singularities near the boundary. Therefore, numerical methods discretiz......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
Fixed-point iteration is a popular method for the multilinear PageRank problem. In [B. Meini, F. Poloni, Perron-based algorithms for the multilinear P......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
A new method is proposed to compute the eigenpairs of a parameter-dependent nonlinear eigenvalue problem. We first analyze the properties on the analy......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
The radial point interpolation meshfree discretization is a very efficient numerical framework for the analysis of piezoelectricity, in which the fund......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, ; ()
The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils, proposed by Chu and Golub [SIAM J. Matrix Anal. Appl., 28(2006),......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (5)
In this paper, we study the alternating direction implicit (ADI) iteration for solving the continuous Sylvester equationAX + XB = C, where the coeffic......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (6)
Given a nonsymmetric matrix A is an element of R-nxn and two unit norm vectors, the two-sided Krylov subspace methods construct a pair of bases for tw......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (6)
Based on the weak regular splitting of tensors, preconditioned technology has shown great advantages in solving tensor equations with nonsingular (str......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (3)
This paper is concerned with computing -eigenpairs of symmetric tensors. We first show that computing -eigenpairs of a symmetric tensor is equivalent ......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (3)
The higher order singular value decomposition, which is regarded as a generalization of the matrix singular value decomposition (SVD), has a long hist......
期刊： NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020; 27 (3)
In this article, we study robust tensor completion by using transformed tensor singular value decomposition (SVD), which employs unitary transform mat......
