On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind

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概要

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• Sinc-Nyström methods for Fredholm integral equations of the second kind have been independently proposed by Muhammad et al. and Rashidinia-Zarebnia. They also gave error analyses, but the results did not claim the convergence of their schemes in a precise sense. This is because in their error estimates there remained an unestimated term: the norm of the inverse of the coefficient matrix of the resulting linear system. In this paper, we estimate the term theoretically to complete the convergence estimate of their methods. Furthermore, we also prove the boundedness of the condition number of each coefficient matrix.

• The Japan Society for Industrial and Applied Mathematicsの論文

著者

• Matsuo Takayasu

  Graduate School Of Information Science And Technology The University Of Tokyo

• Sugihara Masaaki

  Graduate School of Information Science and Technology, The University of Tokyo

• Okayama Tomoaki

  Graduate School of Economics, Hitotsubashi University

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• On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind

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