Web18 de set. de 2024 · The solution of a large-scale Sylvester matrix equation plays an important role in control and large scientific computations. In this paper, we are interested in the large Sylvester matrix equation with large dimensionA and small dimension B, and a popular approach is to use the global Krylov subspace method. In this paper, we … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper is concerned with the numerical solution of large scale Sylvester equations AX − XB = C, Lyapunov equations as a special case in particular included, with C having very small rank. For stable Lyapunov equations, Penzl (2000) and Li and White (2002) demonstrated …
Weighted and deflated global GMRES algorithms for solving large ...
Web1 de fev. de 2013 · In this paper we show that the ADI and rational Krylov approximations are in fact equivalent when a special choice of shifts are employed in both methods. We will call these shifts pseudo H 2-optimal shifts. These shifts are also optimal in the sense that for the Lyapunov equation, they yield a residual which is orthogonal to the rational ... WebOn the ADI method for Sylvester equations. Journal of Computational and Applied Mathematics, Vol. 233, No. 4. An iterative method for Bayesian Gauss–Markov image restoration. Applied Mathematical Modelling, Vol. 33, No. 1. novacat catalyst
On the ADI method for the Sylvester equation and the optimal-
Web1 de abr. de 2024 · The gradient neural network (GNN) method is a novel approach to solving matrices. Based on this method, this paper improves the gradient neural network (IGNN) model with a better effect. The convergence speed is increased by replacing the X i − 1 ( k) matrix in the original gradient neural network with the current matrix X i − 1 ( k + 1). WebSylvester equations play important roles in numerous applications such as matrix eigen-decompositions, control theory, model reduction, numerical solution of matrix di erential … Web1 de dez. de 2009 · For stable Lyapunov equations, Penzl (2000) [22] and Li and White (2002) [20] demonstrated that the so-called Cholesky factor ADI method with decent … novacatch mausefalle