Fast inversion of positive definite Hermitian matrices using real inverse operations

This paper presents a method for carrying out fast inversion of Hermitian positive definite complex matrices using real inverse operations and suggests its application to computation of MIMO LMMSE Detector. The proposed method reduces the number of real operations required by an existing method by 8 times asymptotically. It also talks about possible extension of the proposed method to arbitrary complex matrices. The proposed method is extremely useful for fast software computation of MIMO LMMSE Detector for large scale MIMO systems.