Superlinear Convergence and Implicit Filtering

No abstract is available for this paper.

• Publication year

  1999

• Venue

  SIAM Journal on Optimization

• Publication date

  1999-08-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1137/S1052623499354096
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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  1995influential reference
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  1989influential reference
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  1984influential reference
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  1966influential reference

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