• Publications
  • Influence
Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
TLDR
This paper concentrates on iterative methods for obtaining the multiple roots of nonlinear equations. Expand
  • 88
  • 3
Differential transform method applied to high index differential-algebraic equations
  • H. Liu, Y. Song
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 15 January 2007
TLDR
We use differential transform method to solve high-index DAEs by numerical solution. Expand
  • 80
  • 3
Modified AOR methods for linear complementarity problem
TLDR
In order to solve a linear complementarity problem (LCP(M,q)), when M is 2-cyclic matrix, a class of modified AOR (MAOR) methods based on MAOR methods for solving linear system, whose special case reduces modified SOR (MSOR) method, is proposed. Expand
  • 31
  • 3
Preconditioned AOR iterative method for linear systems
TLDR
We present preconditioned AOR iterative methods with two different preconditionsers, and give corresponding convergence and comparison results. Expand
  • 41
  • 3
Comparison theorems for splittings of matrices
  • Y. Song
  • Mathematics, Computer Science
  • Numerische Mathematik
  • 1 September 2002
TLDR
Comparison theorems about two P-regular splittings and two parallel multisplitting methods are proved. Expand
  • 29
  • 3
Convergence for nonnegative double splittings of matrices
In this paper, we investigate a class of iterative methods for solving linear systems. This iterative method is derived by double splittings of coefficient matrices. On the basis of convergence andExpand
  • 12
  • 3
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
TLDR
This paper presents two kinds of strategies to construct structure-preserving algorithms with homogeneous Neumann boundary conditions for the sine-Gordon equation, while most existing structure preserving algorithms are only valid for zero or periodic boundary conditions. Expand
  • 22
  • 2
  • PDF
Preconditioned AOR iterative methods for M-matrices
Linear systems with M-matrices often appear in a wide variety of areas. In this paper, we give general preconditioners for solving the systems with nonsingular M-matrix. We show that ourExpand
  • 36
  • 2
Regularization methods for solving differential-algebraic equations
  • H. Wang, Y. Song
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 15 April 2001
TLDR
In [M. Knorrenschild, SIAM J. Numer. Anal. 29 (1992) 1694-1715], a class of regularization methods for solving autonomous index-1 DAEs (differential-algebraic equations) has been proposed. Expand
  • 16
  • 2
Semiconvergence of extrapolated iterative methods for singular linear systems
Abstract In this paper, we discuss convergence of the extrapolated iterative methods for solving singular linear systems. A general principle of extrapolation is presented. The semiconvergence of anExpand
  • 16
  • 2
  • PDF
...
1
2
3
4
5
...