TY - JOUR 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. L1 - http://www.journals.pan.pl/Content/105746/PDF/10.1515bpasts-2016-0093.pdf L2 - http://www.journals.pan.pl/Content/105746 PY - 2016 IS - No 4 (Special Section on Civil Engineering – Ongoing Technical Research. Part I) EP - 863 KW - General Engineering KW - Computer Networks and Communications KW - Atomic and Molecular Physics, and Optics KW - Artificial Intelligence KW - Information Systems A1 - Trawiński, T. A1 - Kochan, A. A1 - Kielan, P. A1 - Kurzyk, D. VL - 64 DA - 2016 T1 - Inversion of selected structures of block matrices of chosen mechatronic systems SP - 853 UR - http://www.journals.pan.pl/dlibra/publication/edition/105746 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -