Orthogonal Low Rank Tensor Approximation: Alternating Least Squares Method and Its Global Convergence
- Liqi Wang, M. Chu, Bo Yu
- Computer ScienceSIAM Journal on Matrix Analysis and Applications
- 15 January 2015
The conventional high-order power method is modified to address the desirable orthogonality via the polar decomposition and it is shown that for almost all tensors the orthogonal alternating least squares method converges globally.
Structured Quadratic Inverse Eigenvalue Problem, I. Serially Linked Systems
This paper considers one particular structure where the elements of the physical system, if modeled as a mass-spring system, are serially linked and recasts both undamped and damped problems in a framework of inequality systems that can be adapted for numerical computation.
On iterative methods for the quadratic matrix equation with M-matrix
- Bo Yu, N. Dong, Qiong Tang, Feng-Hua Wen
- MathematicsApplied Mathematics and Computation
- 1 December 2011
Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory
- Bo Yu, Donghui Li, N. Dong
- MathematicsJournal of Computational and Applied Mathematics
- 1 October 2013
A Structure-Preserving Doubling Algorithm for Quadratic Matrix Equations arising form damped mass-spring system
We are concerned with the quadratic matrix equation with nonsingular Mmatrices arising from the damped mass-spring system. We propose a sufficient condition for the existence of the solvents to the…
Large-scale algebraic Riccati equations with high-rank constant terms
- Bo Yu, Hung-Yuan Fan, E. Chu
- MathematicsJournal of Computational and Applied Mathematics
- 1 December 2019
Iterative methods for the quadratic bilinear equation arising from a class of quadratic dynamic systems
- Bo Yu, N. Dong, Qiong Tang
- MathematicsScienceAsia
- 2021
A new biased-estimator for a class of ill-conditioned seemingly unrelated regression systems
- Yao-qiong Zhou, N. Dong, Bo Yu
- Mathematics
- 26 November 2013
In this paper, we propose a new biased-estimator for a class of ill-conditioned seemingly unrelated regression systems. Under the criterion of mean dispersion error, we show the new-presented…
Unconditional Optimal Error Estimates of Linearized, Decoupled and Conservative Galerkin FEMs for the Klein–Gordon–Schrödinger Equation
- Yun‐Bo Yang, Yaolin Jiang, Bo Yu
- Materials ScienceJournal of Scientific Computing
- 6 May 2021
This paper is concerned with unconditionally optimal error estimates of linearized leap-frog Galerkin finite element methods (FEMs) to numerically solve the d-dimensional…
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