On formal solutions of linear matrix differential–difference equations

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

Formal solutions of linear differential equations

A new approach to formal solutions of (first order systems of) linear differential equations stressing as much as possible the similarity with systems of linear equations. This approach leads to a fine structure of formal solutions, comparable to [1] but from a different point of view. A quick introduction to characteristic classes (cf. [3]) will be given. 1 Linear algebra; recalling Jordan dec...

least squares solutions of inconsistent fuzzy linear matrix equations

0

least squares solutions of inconsistent fuzzy linear matrix equations

Iterative Solutions to Some Linear Matrix Equations

In this paper the gradient based iterative algorithms are presented to solve the following four types linear matrix equations: (a) AXB = F ; (b) AXB = F, CXD = G; (c) AXB = F s. t. X = X ; (d) AXB+CY D = F, where X and Y are unknown matrices, A,B,C,D, F,G are the given constant matrices. It is proved that if the equation considered has a solution, then the unique minimum norm solution can be ob...