Complex interval arithmetic and its applications
著者
書誌事項
Complex interval arithmetic and its applications
（Mathematical research, v. 105）
Wiley-VCH, c1998
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注記
Bibliography: p. [266]-277
Includes indexes
内容説明・目次
内容説明
This text presents formulas and methods developed using complex interval arithmetic. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centred forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros, including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds.
目次
- Interval arithmetic
- circular complex inclusion forms
- best approximations by disks
- inclusion of polynomial zeros
- simultaneous inclusion of complex zeros
- improved inclusion methods for polynomial zeros
- parallel implementation of inclusion methods
- numerical stability of iterative processes
- numerical computation of curvilinear integrals.
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