Abstract Can linear systems be solved faster than matrix multiplication? While there has been remarkable progress for the special cases of graph structured linear systems, in the general setting, the ...

The research on vibration characteristics and control of multi-body system is a research focus in the field of mechanical system dynamics and control engineering. For the controlled multibody system, ...

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Hessian matrices are square matrices consisting of all possible combinations of second partial derivatives of a scalar-valued initial function. As such, Hessian matrices may be treated as elementary ...

MEHDI DEHGHAN, MASOUD HAJARIAN, THE REFLEXIVE AND ANTI-REFLEXIVE SOLUTIONS OF A LINEAR MATRIX EQUATION AND SYSTEMS OF MATRIX EQUATIONS, The Rocky Mountain Journal of Mathematics, Vol. 40, No. 3 (2010) ...

Finally, the application for controlling the robot using the proposed method for the complex-valued systems of linear equation is realized, and the simulation results verify the effectiveness and ...

In this article, a system of Yang-Baxter-type matrix equations is studied, XAX = BXB, XBX = AXA, which “generalizes” the matrix Yang-Baxter equation and exhibits a broken symmetry. We investigate the ...