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Inverting an interval Hessian of a factorable function

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Publication:1161240
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DOI10.1007/BF02254851zbMath0478.65015OpenAlexW374803764MaRDI QIDQ1161240

F. S. Sisser

Publication date: 1982

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02254851

zbMATH Keywords

interval analysisHessian matrixfactorable functioninterval inverse


Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)


Related Items

Calculation of bounds on variables satisfying nonlinear inequality constraints, Computer-generated interval extensions of factorable functions and their derivatives



Cites Work

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  • Global optimization using interval analysis - the multi-dimensional case
  • A modified Newton's method for minimizing factorable functions
  • Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
  • Bounding Global Minima with Interval Arithmetic
  • Computer-generated interval extensions of factorable functions and their derivatives
  • A Test for Existence of Solutions to Nonlinear Systems
  • Interval Arithmetic in Matrix Computations, Part I
  • A language for nonlinear programming problems
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