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Interval Newton operators for function strips

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Publication:1090073
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DOI10.1016/0022-247X(87)90024-2zbMath0621.65047MaRDI QIDQ1090073

B. George

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

convergenceinterval analysisinterval iterationsfunction stripinterval Newton operator


Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)


Related Items

On interval operators obtained by splitting the Lipschitz matrix ⋮ Nonlinear equations and optimization



Cites Work

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  • Centered forms and interval operators
  • New techniques for the analysis of linear interval equations
  • Interval iterations for including a set of solutions
  • Interval iteration for zeros of systems of equations
  • Properties of interval operators
  • Existence of solutions of piecewise differentiable systems of equations
  • An improved interval Newton operator
  • On the Convergence of Some Interval-Arithmetic Modifications of Newton’s Method
  • Computing Perturbation Bounds for Nonlinear Algebraic Equations
  • Optimal Inclusion of a Solution Set
  • Overestimation in Linear Interval Equations
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