Quadratic convergence in interval arithmetic, part II

1972 ◽  
Vol 12 (3) ◽  
pp. 291-298 ◽  
Author(s):  
Webb Miller
Keyword(s):  
Interval Arithmetic ◽  
Quadratic Convergence

Quadratic convergence in interval arithmetic, part I

1972 ◽  
Vol 12 (3) ◽  
pp. 284-290 ◽  
Author(s):  
William Chuba ◽  
Webb Miller
Keyword(s):  
Interval Arithmetic ◽  
Quadratic Convergence

More on quadratic convergence in interval arithmetic

1973 ◽  
Vol 13 (1) ◽  
pp. 76-83 ◽  
Author(s):  
Webb Miller
Keyword(s):  
Interval Arithmetic ◽  
Quadratic Convergence

Quadratic convergence of a multivalued series (S+)

2020 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Quadratic Convergence

We use the Infinity Theorem to find two possible values for S+.

Analysis of power pattern in CLAS with the material thickness and properties error through interval arithmetic

2017 ◽  
Vol 11 (10) ◽  
pp. 1354-1362 ◽  
Author(s):  
Peng Li ◽  
Witold Pedrycz ◽  
Wanye Xu ◽  
Li‐Wei Song
Keyword(s):  
Interval Arithmetic ◽  
Material Thickness ◽  
Power Pattern

A quadratic convergence method for MOVPE thermodynamic analysis

2002 ◽  
Vol 237-239 ◽  
pp. 1603-1609 ◽  
Author(s):  
Takahiro Hasegawa ◽  
Akinori Koukitu ◽  
Yoshinao Kumagai
Keyword(s):  
Thermodynamic Analysis ◽  
Quadratic Convergence ◽  
Convergence Method

scholarly journals A Generalized Inexact Newton Method for Inverse Eigenvalue Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Weiping Shen
Keyword(s):  
Newton Method ◽  
Quadratic Convergence ◽  
Eigenvalue Problems ◽  
Generalized Newton Method ◽  
Inexact Newton Method ◽  
Numerical Tests ◽  
Inverse Eigenvalue Problems ◽  
Inverse Eigenvalue ◽  
Generalized Newton ◽  
Special Case

We propose a generalized inexact Newton method for solving the inverse eigenvalue problems, which includes the generalized Newton method as a special case. Under the nonsingularity assumption of the Jacobian matrices at the solutionc*, a convergence analysis covering both the distinct and multiple eigenvalue cases is provided and the quadratic convergence property is proved. Moreover, numerical tests are given in the last section and comparisons with the generalized Newton method are made.

An interval arithmetic method for global optimization

Computing ◽  
1979 ◽  
Vol 23 (1) ◽  
pp. 85-97 ◽  
Author(s):  
K. Ichida ◽  
Y. Fujii
Keyword(s):  
Global Optimization ◽  
Interval Arithmetic ◽  
Arithmetic Method
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