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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On constructing least squares solutions to two-point boundary value problems
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by John Locker PDF
Trans. Amer. Math. Soc. 203 (1975), 175-183 Request permission

Abstract:

For an $n$th order linear boundary value problem $Lf = {g_0}$ in the Hilbert space ${L^2}[a,b]$, 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 spaces of the differential operator $L$ or its adjoint ${L^ \ast }$.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 203 (1975), 175-183
  • MSC: Primary 34B05; Secondary 65L10
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0372303-0
  • MathSciNet review: 0372303