scholarly journals On partial smoothness, tilt stability and the $${\mathcal {VU}}$$-decomposition

2018 ◽  
Vol 175 (1-2) ◽  
pp. 155-196 ◽  
Author(s):  
A. C. Eberhard ◽  
Y. Luo ◽  
S. Liu
Keyword(s):  
Partial Smoothness ◽  
Tilt Stability

scholarly journals Partial Smoothness, Tilt Stability, and Generalized Hessians

2013 ◽  
Vol 23 (1) ◽  
pp. 74-94 ◽  
Author(s):  
A. S. Lewis ◽  
S. Zhang
Keyword(s):  
Partial Smoothness ◽  
Tilt Stability

Tilt stability of rotating current rings with resistive conductors

1985 ◽  
Vol 28 (8) ◽  
pp. 2517 ◽  
Author(s):  
Ellen G. Zweibel ◽  
Neil Pomphrey
Keyword(s):  
Tilt Stability

scholarly journals Active‐Set Newton Methods and Partial Smoothness

2020 ◽  
Author(s):  
Adrian S. Lewis ◽  
Calvin Wylie
Keyword(s):  
Nonlinear Programming ◽  
Variational Inequalities ◽  
Finite Time ◽  
Optimization Algorithms ◽  
Newton Methods ◽  
Active Set ◽  
Local Algorithms ◽  
Partial Smoothness ◽  
Analogous Behavior ◽  
Partly Smooth

Diverse optimization algorithms correctly identify, in finite time, intrinsic constraints that must be active at optimality. Analogous behavior extends beyond optimization to systems involving partly smooth operators, and in particular to variational inequalities over partly smooth sets. As in classical nonlinear programming, such active‐set structure underlies the design of accelerated local algorithms of Newton type. We formalize this idea in broad generality as a simple linearization scheme for two intersecting manifolds.

scholarly journals Numerical study of tilt stability of prolate field-reversed configurations

2000 ◽  
Author(s):  
E. V. Belova ◽  
S. C. Jardin ◽  
M. Yamada H. Ji ◽  
R. Kulsrud
Keyword(s):  
Numerical Study ◽  
Tilt Stability ◽  
Field Reversed Configurations

Influence of rotational speed of a heavy-duty hydrostatic turret on bearing performance under tilt

2019 ◽  
Vol 72 (5) ◽  
pp. 575-579
Author(s):  
Zhifeng Liu ◽  
Junyuan Guo ◽  
Yumo Wang ◽  
Dong Xiangmin ◽  
Yue Wu ◽  
...  
Keyword(s):  
Bearing Capacity ◽  
Rotational Speed ◽  
Design Methodology ◽  
Reynolds Equation ◽  
Heavy Duty ◽  
Film Stability ◽  
Content Type ◽  
Oil Film ◽  
Tilt Stability ◽  
The Stability

Purpose This paper aims to propose a method for finding the maximum rotational speed of an inclined turntable at which the stability of the bearing oil film is maintained. Design/methodology/approach The finite difference method was used to solve the Reynolds equation. Variation of bearing capacity of a tilted hydrostatic turret over time was determined. The combined effect of tilt and rotational speed of the turret on the oil film stability was also analyzed. Findings When the turntable is operated at low speeds with only small angle of tilt, stability of the oil film is maintained. At lower rotational speeds, a smaller angle of tilt improves the bearing capacity and ensures stability of the oil film. Whereas, higher rotational speeds can have a considerable influence on the bearing capacity. Originality/value The results demonstrate that the inclination or tilt of the turntable significantly affects the stability of the oil film.

Hölder weak sharp minimizers and Hölder tilt-stability

2015 ◽  
Vol 120 ◽  
pp. 186-201 ◽  
Author(s):  
Xi Yin Zheng ◽  
Kung-Fu Ng
Keyword(s):  
Tilt Stability ◽  
Weak Sharp
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