期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021; 42 (1)
Motivated by the Tucker decomposition, in this paper we introduce a new tensor decomposition for third order tensors, which decomposes a third order t......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021; 42 (2)
The main aim of this paper is to develop the quaternion generalized minimal residual method (QGMRES) for solving quaternion linear systems. Quaternion......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021; 42 (2)
In practical applications, incremental tensors are very common: only a portion of tensor data is available, and new data are arriving in the next time......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021; 42 (1)
Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to repr......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2021; 42 (2)
A parallel preconditioner is proposed for general large sparse linear systems that combines a power series expansion method with low-rank correction t......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (2)
In this study, we analyze the real-time solution of a series of augmented least squares problems, which are generated by adding information to an orig......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (2)
This paper is devoted to the computation of low multilinear rank approximations of tensors. Combining the stretegy of power scheme, random projection,......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (2)
This paper presents a new Riemannian modified Polak-Ribiere-Polyak conjugate gradient algorithm to construct the reduced systems of quadratic-bilinear......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (2)
We show that the spline kernel of order p is a so-called semiseparable function with semiseparability rank p. A consequence of this is that kernel mat......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (1)
This paper develops a low-nonnegative-rank approximation method to identify the state aggregation structure of a finite-state Markov chain under an as......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (3)
In this work, we study the tensor ring decomposition and its associated numerical algorithms. We establish a sharp transition of algorithmic difficult......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (3)
In this paper, we consider the problem of minimizing a smooth objective over multiple rank constraints on Hankel structured matrices. These kinds of p......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (3)
In this paper, we propose a novel eigenvalue-based approach to solving the unbalanced orthogonal Procrustes problem. By making effective use of the ne......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (4)
In this paper, we propose a fast block alpha-circulant preconditioner for solving the nonsymmetric linear system arising from an all-at-once implicit ......
期刊： SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020; 41 (4)
In this paper, we consider an inverse problem with quasi-boundary value regularization for recovering a source term of the time fractional diffusion e......
