Fast algorithms for the Sylvester equation AX−XBT=C
نویسندگان
چکیده
منابع مشابه
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
متن کاملOn the solving of matrix equation of Sylvester type
A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the ...
متن کاملFast wave-front reconstruction by solving the Sylvester equation with the alternating direction implicit method.
Large degree-of-freedom real-time adaptive optics (AO) control requires reconstruction algorithms that are computationally efficient and readily parallelized for hardware implementation. In particular, we find the wave-front reconstruction for the Hudgin and Fried geometry can be cast into a form of the well-known Sylvester equation using the Kronecker product properties of matrices. We derive ...
متن کاملExact and fast numerical algorithms for the stochastic wave equation
On the basis of integral representations we propose fast numerical methods to solve the Cauchy problem for the stochastic wave equation without boundaries and with the Dirichlet boundary conditions. The algorithms are exact in a probabilistic sense. 1 Statement of the problem and integral representations Consider the stochastic wave equation ∂X ∂t (t, x)− a2 X ∂x (t, x) = g(t, x) + f(t, x) dW (...
متن کاملThe global Arnoldi process for solving the Sylvester-Observer equation
In this paper, we present a method and associated theory for solving the multi-input Sylvester-Observer equation arising in the construction of the Luenberger observer in control theory. The proposed method is a particular generalization of the algorithm described by Datta and Saad in 1991 to the multi-output. We give some theoretical results and present some numerical experiments to show the a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2001
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(00)00322-4