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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Finite-dimensional approximation of constrained Tikhonov-regularized solutions of ill-posed linear operator equations
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by A. Neubauer PDF
Math. Comp. 48 (1987), 565-583 Request permission


In this paper we derive conditions under which the finite-dimensional constrained Tikhonov-regularized solutions ${x_{\alpha ,{C_n}}}$ of an ill-posed linear operator equation $Tx = y$ (i.e., ${x_{\alpha ,{C_n}}}$ is the minimizing element of the functional ${\left \| {Tx - y} \right \|^2} + \alpha {\left \| x \right \|^2}$, $\alpha > 0$ in the closed convex set ${C_n}$, which is a finite-dimensional approximation of a closed convex set C) converge to the best approximate solution of the equation in C. Moreover, we develop an estimate for the approximation error, which is optimal for certain sets C and ${C_n}$. We present numerical results that verify the theoretical results.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 48 (1987), 565-583
  • MSC: Primary 65J10; Secondary 65R20
  • DOI:
  • MathSciNet review: 878691