Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n × n quadratic matrix equation X − L1X − L0 = 0, playing the role of the two elementary symmetric functions of the two roots of a quadratic scalar equation. Our results rely on the connection existing between the QME and the theory of linear s...

The quadratic matrix equation AX2 + B X +C = 0 in n ×n matrices arises in applications and is of intrinsic interest as one of the simplest nonlinear matrix equations. We give a complete characterization of solutions in terms of the generalized Schur decomposition and describe and compare various numerical solution techniques. In particular, we give a thorough treatment of functional iteration m...

the absence of a universally accepted mathematical model for assessment of the effectiveness of drugs in the process of wound healing is one of the problems the health professionals have been faced. in this study, an “empirical” mathematical model is presented to evaluate its reliability from an experimental viewpoint and from a comparative aspect with previous models used to study wound healin...