Nondifferentiable Optimization: Relaxation Methods

Encyclopedia of Optimization ◽

10.1007/978-0-387-74759-0_450 ◽

2008 ◽

pp. 2615-2618

Author(s):

Ulf Brännlund

Keyword(s):

Nondifferentiable Optimization ◽

Relaxation Methods

Nondifferentiable Optimization: Relaxation Methods

Encyclopedia of Optimization ◽

10.1007/0-306-48332-7_342 ◽

2006 ◽

pp. 1735-1737

Author(s):

Ulf Brännlund

Keyword(s):

Nondifferentiable Optimization ◽

Relaxation Methods

Lagrangian Relaxation Methods for Solving the Minimum Fleet Size Multiple Traveling Salesman Problem with Time Windows

Management Science ◽

10.1287/mnsc.34.8.1005 ◽

1988 ◽

Vol 34 (8) ◽

pp. 1005-1022 ◽

Cited By ~ 51

Author(s):

Jacques Desrosiers ◽

Michel Sauvé ◽

François Soumis

Keyword(s):

Traveling Salesman Problem ◽

Lagrangian Relaxation ◽

Time Windows ◽

Traveling Salesman ◽

Relaxation Methods ◽

Fleet Size ◽

Multiple Traveling Salesman Problem

Optimized waveform relaxation methods for RC circuits: discrete case

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2016061 ◽

2016 ◽

Vol 51 (1) ◽

pp. 209-223 ◽

Cited By ~ 3

Author(s):

Shu-Lin Wu ◽

Mohammad D. Al-Khaleel

Keyword(s):

Discrete Case ◽

Waveform Relaxation ◽

Relaxation Methods

Controllability and a Multiplier Rule for Nondifferentiable Optimization Problems

SIAM Journal on Control and Optimization ◽

10.1137/0316055 ◽

1978 ◽

Vol 16 (5) ◽

pp. 803-812 ◽

Cited By ~ 14

Author(s):

J. Warga

Keyword(s):

Nondifferentiable Optimization ◽

Optimization Problems ◽

Multiplier Rule

Approximations in Decomposition of Large-Scale Convex Programs via a Nondifferentiable Optimization Method

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)52088-1 ◽

1990 ◽

Vol 23 (8) ◽

pp. 161-166 ◽

Cited By ~ 1

Author(s):

K.C. Kiwiel

Keyword(s):

Large Scale ◽

Nondifferentiable Optimization ◽

Optimization Method ◽

Convex Programs

Variable metric relaxation methods, part II: The ellipsoid method

Mathematical Programming ◽

10.1007/bf02591882 ◽

1984 ◽

Vol 30 (2) ◽

pp. 147-162 ◽

Cited By ~ 11

Author(s):

Jean-Louis Goffin

Keyword(s):

Relaxation Methods ◽

Variable Metric ◽

Ellipsoid Method

Estimates of the labor cost of combined relaxation methods

Journal of Mathematical Sciences ◽

10.1007/bf02367687 ◽

1995 ◽

Vol 74 (5) ◽

pp. 1225-1235

Author(s):

I. V. Konnov

Keyword(s):

Labor Cost ◽

Relaxation Methods

Relaxation Increases Salivary Immunoglobulin a

Psychological Reports ◽

10.2466/pr0.1987.61.2.623 ◽

1987 ◽

Vol 61 (2) ◽

pp. 623-629 ◽

Cited By ~ 66

Author(s):

Ronald G. Green ◽

Marsha L. Green

Keyword(s):

Immune System ◽

Salivary Cortisol ◽

Immunoglobulin A ◽

High Stress ◽

Relaxation Response ◽

Control Group ◽

Coping Skill ◽

Relaxation Methods ◽

Eyes Closed ◽

Salivary Immunoglobulin A

While research indicates that high stress may be immunosuppressive, little is known about the effects of relaxation on the immune system. To determine whether relaxation is immunoenhancing, 50 volunteer college students were randomly assigned to one of four relaxation methods (Benson's relaxation response, guided visualization, massage, lying quietly with eyes closed, or a touching-control group). Salivary immunoglobulin A (S-IgA) and salivary Cortisol levels were recorded before and after one 20-min. relaxation session. Subjects in the relaxation response, visualization, and massage groups showed a significant increase in S-IgA concentrations from the before to the after relaxation samples. Also, post-relaxation S-IgA concentrations were significantly higher in the relaxation response, visualization, and massage groups than in the touching-control group. Salivary Cortisol did not change significantly. These data suggest that one component of the immune system, S-IgA, may be enhanced by the practice of a coping skill such as relaxation.

On the convergence of block relaxation methods for circuit simulation

IEEE Transactions on Circuits and Systems ◽

10.1109/31.31330 ◽

1989 ◽

Vol 36 (7) ◽

pp. 948-958 ◽

Cited By ~ 18

Author(s):

M.P. Desai ◽

I.N. Hajj

Keyword(s):

Circuit Simulation ◽

Relaxation Methods ◽

Block Relaxation