An Algorithm for Linear Inequalities and its Applications

Y-C. Ho, R.L. Kashyap · IEEE Transactions on Electronic Computers · 1965

An exponentially convergent and finite algorithm is presented for the determination of the solution α of the linear inequalities Aα>0 for a given matrix A, or for determining the non-existence of solution for Aα>0. This result is useful in threshold-switching theory and in pattern classification problems. Experiments indicate extremely rapid convergence of the method.

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