In this paper, we introduce a new generalized inverse, called MPWG inverse of complex square matrix. We investigate characterizations, representations, and properties for inverse. Then, by using the core-EP decomposition, discuss relationships between other inverses. A variant successive matrix squaring computational iterative scheme is given calculating The Cramer rule solution singular equati...

In this paper we will extend to non-abelian groups inverse spectral results, proved by us in an earlier (Guillemin and Wang, 2016), for compact abelian groups, i.e. tori. More precisely, Let G be a Lie group acting isometrically on Riemannian manifold X. We show that the Schrödinger operator ??2?+V with V?C?(X)G, potential function V is, some interesting examples, determined G-equivariant spect...

in this paper, the homotopy perturbation method (hpm) and elzaki transform is employed to obtain the approximate analytical solution of the sine gorden and the klein gorden equations. the nonlinear terms can be handled by the use of homotopy perturbation method. the proposed homotopy perturbation method is applied to reformulate the first and the second order initial value problems which leads ...

An inverse kinematics solution that utilizes the differential felationship between the joint space and Cartesian space of redmdant manipulators is proposed. Until now, this solution can' be obtained using the pseudo-inverse of the Jacobian matrix. However the computation of the pseudoinverse is complex so that it is not easy to be implemented on a digital computer for on-line motion planning of...

In this paper, an iterative method is proposed for solving the matrix inverse problem $AX=B$ for Hermitian-generalized Hamiltonian matrices with a submatrix constraint. By this iterative method, for any initial matrix $A_0$, a solution $A^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

In this paper, the conjugate gradient method coupled with adjoint problem is used in order to solve the inverse heat conduction problem and estimation of the strength of the time- dependent heat source using the temperature distribution at a point in a three layer system. Also, the effect of noisy data on final solution is studied. The numerical solution of the governing equations is obtained b...