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CDC
2009
IEEE
128views Control Systems» more  CDC 2009»
13 years 9 months ago
Iterative solutions to matrix equations of form
— To solve systems of linear matrix equations A1XB1 = F1 and A2XB2 = F2, we present iterative algorithms to get the solutions. For any initial value, we prove that the iterative ...
Jie Ding, Yanjun Liu, Feng Ding
CMA
2010
111views more  CMA 2010»
13 years 2 months ago
Iterative solutions to matrix equations of the form AiXBi=Fi
Jie Ding, Yanjun Liu, Feng Ding
APPML
2006
71views more  APPML 2006»
13 years 4 months ago
The polynomial solution to the Sylvester matrix equation
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-u...
Qingxi Hu, Daizhan Cheng
CVPR
2006
IEEE
14 years 6 months ago
A Closed Form Solution to Natural Image Matting
Interactive digital matting, the process of extracting a foreground object from an image based on limited user input, is an important task in image and video editing. From a compu...
Anat Levin, Dani Lischinski, Yair Weiss
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 4 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner