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- W2027150357 abstract "In this work we apply Dykstra’s alternating projection algorithm for minimizing ‖ A X − B ‖ where ‖ ⋅ ‖ is the Frobenius norm and A ∈ R m × n , B ∈ R m × n and X ∈ R n × 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 singular value decomposition to transform the original problem into a simpler one that fits nicely with the algorithm originally developed by [R. Escalante, M. Raydan, Dykstra’s algorithm for a constrained least-squares matrix problem, Numer. Linear Algebra Appl. 3 (1996) 459–471]." @default.
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- W2027150357 date "2010-06-01" @default.
- W2027150357 modified "2023-10-03" @default.
- W2027150357 title "Dykstra’s algorithm for constrained least-squares doubly symmetric matrix problems" @default.
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- W2027150357 doi "https://doi.org/10.1016/j.tcs.2010.04.011" @default.
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