SS16 - Solving Matrix and Tensor Equations
link to the session's webpage
The researches on the solvability conditions and the structural representations of solutions to matrix and tensor equations have been one of the important topics in algebra for a long time. Nowadays as one important part of contemporary mathematics, matrix and tensor equations are widely and heavily used in many areas such as computer vision, data mining, system and control theory, and information science. No matter concerning the development of matrix and tensor theory or solving practical problems, further studying on solutions for matrix and tensor equations is essential.
The topics in this special session mainly focus on the solvability conditions, general and numeric solutions, structural representations and extremal ranks of the solutions to some matrix and tensor algebraic equations and coupled generalized Sylvester matrix (tensor) equations over various algebraic structures including fields, quaternions and general rings. Moreover, we will explore efficient symbolic and numeric computing algorithms for finding solutions and their applications in image processing, system and control theory, etc.
This special session will be an important opportunity for experts in linear algebra, matrix and tensor theory, ring theory and computer science to exchange ideas, problems and work together.
Session organizers
| Dragana Cvetkovic Ilic (Department of Mathematics, University of Nis, Serbia) |
| Qingwen Wang (Department of Mathematics, Shanghai University, Shanghai, China) |
| Yang Zhang (Department of Mathematics, University of Manitoba, Winnipeg, Canada) |