N2 - AbstractThis paper describes how to calculate the number of algebraic operations necessary to implement block matrix inversion that occurs, among others, in mathematical models of modern positioning systems of mass storage devices. The inversion method of block matrices is presented as well. The presented form of general formulas describing the calculation complexity of inverted form of block matrix were prepared for three different cases of division into internal blocks. The obtained results are compared with a standard Gaussian method and the “inv” method used in Matlab. The proposed method for matrix inversion is much more effective in comparison in standard Matlab matrix inversion “inv” function (almost two times faster) and is much less numerically complex than standard Gauss method.
JO - Bulletin of the Polish Academy of Sciences: Technical Sciences
L1 - http://journals.pan.pl/Content/105746/PDF/10.1515bpasts-2016-0093.pdf
L2 - http://journals.pan.pl/Content/105746
IS - No 4
EP - 863
KW - General Engineering
KW - Computer Networks and Communications
KW - Atomic and Molecular Physics, and Optics
KW - Artificial Intelligence
KW - Information Systems
ER -
A1 - Trawiński, T.
A1 - Kochan, A.
A1 - Kielan, P.
A1 - Kurzyk, D.
VL - 64
JF - Bulletin of the Polish Academy of Sciences: Technical Sciences
SP - 853
T1 - Inversion of selected structures of block matrices of chosen mechatronic systems
UR - http://journals.pan.pl/dlibra/docmetadata?id=105746