Matrix equations and identities - Open Access .click

Journal of Physics A, 2003
Summary: A new version of the Bäcklund--Darboux transformation for the matrix Kadomtsev-Petviashvili (KP) equation is used to construct and study explicit multi-parameter solutions and wavefunctions (in terms of the matrix exponents). A class of the self-adjoint non-singular solutions of KP I is introduced using the controllability notion from system ...
Alexander Sakhnovich
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Operator Identities and the Solution of Linear Matrix Difference and Differential Equations

Studies in Applied Mathematics, 1994
We use operator identities in order to solve linear homogeneous matrix difference and differential equations and we obtain several explicit formulas for the exponential and for the powers of a matrix as an example of our methods. Using divided differences we find solutions of some scalar initial value problems and we show how the solution of matrix ...
Luis Verde-Star
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On the Centro-Symmetric Solution of a System of Matrix Equations Over a Regular Ring With Identity

Algebra Colloquium, 2007
In this paper, we find the centro-symmetric solution of a system of matrix equations over an arbitrary regular ring [Formula: see text] with identity. We first derive some necessary and sufficient conditions for the existence and an explicit expression of the general solution of the system of matrix equations A1X1 = C1, A2X1 = C2, A3X2 = C3, A4X2 = C4
Qingwen Wang
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nuclear and particle physics
atomic energy
radioactivity

physics
mathematics
inner inverse of a matrix

system of matrix equations
regular ring
reflexive inverse of a matrix