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A systolic architecture for fast dense matrix inversion

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1 Author(s)
El-Amawy, A. ; Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

An array that inverts an n×n dense matrix in 5n-1 time units, including I/O time, is presented. The inversion algorithm consists of three phases and assumes that Gaussian elimination without pivoting can be applied. The array, which consists of 2n2-n simple processing elements, implements and overlaps the execution of all three phases without any need for intermediate I/O or reconfiguration. An efficient data-steering technique which is well suited for feedback recurrences is utilized

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Computers, IEEE Transactions on  (Volume:38 ,  Issue: 3 )