Norm-Constrained Least-Squares Solutions to the Matrix EquationAXB=C

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

Performance Analysis of $l_0$ Norm Constrained Recursive Least Squares Algorithm

Performance analysis of l0 norm constrained Recursive least Squares (RLS) algorithm is attempted in this paper. Though the performance pretty attractive compared to its various alternatives, no thorough study of theoretical analysis has been performed. Like the popular l0 Least Mean Squares (LMS) algorithm, in l0 RLS, a l0 norm penalty is added to provide zero tap attractions on the instantaneo...

least squares solutions of inconsistent fuzzy linear matrix equations

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least squares solutions of inconsistent fuzzy linear matrix equations

Dykstra's algorithm for constrained least-squares doubly symmetric matrix problems

In this work we apply Dykstra’s alternating projection algorithm for minimizing ‖AX − B‖ where ‖ · ‖ is the Frobenius norm and A ∈ Rm×n, B ∈ Rm×n and X ∈ Rn×n are doubly symmetric positive definite matrices with entries within prescribed intervals. We first solve the constrained least-squares matrix problem by using the special structure properties of doubly symmetric matrices, and then use the...