✦ LIBER ✦

Trust regions based on conic functions in linear and nonlinear programming

✍ Scribed by J. L. Nazareth

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 362 KB
Volume: 2
Category: Article
ISSN: 1070-5325
DOI: 10.1002/nla.1680020305

No coin nor oath required. For personal study only.

✦ Synopsis

An optimization method is developed based on ellipsoidal trust regions that are defined by conic functions. It provides a powerful unifying theory from which can be derived a variety of interesting and potentially useful optimization algorithms, in particular, conjugate-gradient-like algorithms for nonlinear minimization and Karmarkar-like interior-point algorithms for linear programming.

📜 SIMILAR VOLUMES

New nonlinear-laser effects in crystalli

New nonlinear-laser effects in crystalline fine-grained ceramics based on cubic Sc2O3 and Lu2O3 oxides: second and third harmonic generation, and cascaded self-sum-frequency mixing in UV spectral region

✍ A.A. Kaminskii; H. Rhee; H.J. Eichler; K. Ueda; K. Takaichi; A. Shirakawa; M. To 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 183 KB 👁 1 views

We report on the first observation of the nonlinear cascading χ^(3)^ ↔ χ^(3)^ effects in UV spectral range and second harmonic generation stipulated by the ``defect'' nonlinearity under one-micron pumping in crystalline ceramics based on cubic oxides Sc~2~O~3~ and Lu~2~O~3~. Broadband their multi-wa