Recent Advances in Generalized Inverses and Matrix Theory

Dear Colleagues,

Generalized inverses are defined in cases when ordinary inverses do not exist, providing solutions to equations, systems of equations, and minimization problems. They play an important role in theoretical and numerical methods of linear algebra and have numerous applications in statistics, econometrics, logistics, electrical network theory, theory of differential and difference equations. Generalized inverses are studied for matrices, quaternion matrices, tensors, dual real matrices, operators on Banach and Hilbert spaces, elements of Banach and C*-algebras, or more generally in rings with or without involution. Partial orders of matrices from generalized inverses also have applications in the theory of linear statistical models.

This Special Issue aims to highlight recent advances in generalized inverses and their applications, including solving matrix and operator equations, systems of equations, minimization problems, and defining partial orders.

We welcome original research articles and reviews. Research areas may include, but are not limited to, the following: generalized inverses with applications; matrix and operator equations; systems of equations and inequalities; matrix and operator decompositions; special types of matrices and operators; minimization problems; quaternion matrix and tensor equations; equations in algebras and rings; partial orders and pre-orders; perturbations; and dual real matrices.

I look forward to receiving your contributions.

Prof. Dr. Dijana Mosić
Guest Editor

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