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Generalized Inverses and Their Applications

Call for Papers

In 1920, E. H. Moore formulated the generalized inverse of a matrix in an algebraic setting. The purpose of constructing a generalized inverse matrix is to obtain a matrix that can serve as the inverse in some sense for a wider class of matrices than invertible matrices.  In 1955, R. Penrose  showed that the Moore “reciprocal inverse” could be represented by four equations, now known as Moore-Penrose equations.  The Drazin inverse, named after Michael P. Drazin (1958), is another famous kind of generalized inverses.  A big expansion of this area came in the fifties, when C. R. Rao and J. Chipman made use of the connection between generalized inverses, least squares, and statistics.

Now, generalized inverses cover a wide range of mathematical areas, such as matrix theory, operator theory, and C*-algebras. They appear in numerous applications that include areas such as linear estimation, differential and difference equations, Markov chains, graphics, cryptography, coding theory, incomplete data recovery, and robotics.

Potential topics include but are not limited to the following:

  • Various theoretical aspects of generalized inverses matrices
  • Generalized inverse solutions of matrix and operator equations
  • Generalized inverses in C*-algebras or rings
  • Computational methods of generalized inverses and the approximation theory
  • Applications of generalized inverses to programming and networks
  • Applications of generalized inverses in digital image restoration

Authors can submit their manuscripts through the Manuscript Tracking System at

Submission DeadlineFriday, 6 April 2018
Publication DateAugust 2018

Papers are published upon acceptance, regardless of the Special Issue publication date.

Lead Guest Editor

  • Ivan Kyrchei, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, Lviv, Ukraine

Guest Editors