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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 2L


A Fast Method for Computing the Inverse of Symmetric Block Arrowhead Matrices

PP: 319-324
Waldemar Hołubowski, Dariusz Kurzyk, Tomasz Trawiński,
We propose an effective method to find the inverse of symmetric block arrowhead matrices which often appear in areas of applied science and engineering such as head-positioning systems of hard disk drives or kinematic chains of industrial robots. Block arrowhead matrices can be considered as generalisation of arrowhead matrices occurring in physical problems and engineering. The proposed method is based on LDLT decomposition and we show that the inversion of the large block arrowhead matrices can be more effective when one uses our method. Numerical results are presented in the examples.

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