Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis

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概要

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• We analyze convergence properties and numerical properties of the differential qd algorithm generalized for totally nonnegative band matrices. In particular, we show that the algorithm is globally convergent and can compute all eigenvalues to high relative accuracy.

• The Japan Society for Industrial and Applied Mathematicsの論文

著者

• YAMAMOTO Yusaku

  Department of Computational Science and Engineering, Nagoya University

• Fukaya Takeshi

  Department of Computational Science and Engineering, Nagoya University

• Yamamoto Yusaku

  Department of Computational Science & Engineering, Graduate School of Engineering, Nagoya University

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• Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis

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