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On Constructing Least Squares Solutions to Two-Point Boundary Value Problems

On Constructing Least Squares Solutions to Two-Point Boundary Value Problems

For an nth order linear boundary value problem Lf = g0 in the Hilbert space L2[a, b], a sequence of approximate solutions is constructed which converges to the unique least squares solution of minimal norm.The method is practical from a computational viewpoint, and it does not require knowing the null …