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relaxation

relaxation

1 9.9
A method for solving equations by improving a guess step by step
  • noun
  • /rɪˌlækˈseɪʃən/
  • Specialized
translation icon : método de relajación
  • Equilibria for magnetic energy can be found by following the physical process of magnetic relaxation using a simple model fluid.

Examples

  • And now we want to show that that relaxation operation does not make D of V incorrect.

  • But it was really just a fact about relaxation, and it was a pretty simple proof.

  • So let's write an LP relaxation for the set cover problem.

  • The option uses a relaxation technique that combines the highest measurement accuracy with robust analysis techniques.

    Academic text (1997)
  • Under this condition, Lagrangian relaxation will have integer solutions and you can find those proofs in Lawler's book.

  • The relaxation process involves making an initial guess for the solution and then refining it until the errors are minimized.

  • Using a relaxation method, engineers can effectively solve simultaneous equations with greater accuracy.

  • He utilized a relaxation technique to approximate the solution of the complex equation step by step.

Synonyms

relaxation method
vsrelaxation
  • Specialized
6.1

A way to solve many equations by starting with a guess and improving it until accurate

is the shorter label for that same solving approach

Compounds

relaxation time
  • Specialized
1 6.8

Time a system takes to return to normal after a change

relaxation behavior
  • Specialized
8.1

The way a physical system slowly returns to its normal state after a disturbance

relaxation method
  • Specialized
6.1

A way to solve many equations by starting with a guess and improving it until accurate

A way to reduce stress and become calm, often using breathing or muscle exercises

How Fast

preconditioning
  • Specialized
8.2
relaxation
  • Specialized
1 9.9

Surface Forms

relaxation singular
relaxations plural

Morphology

relaxation = relax (semi-transparent) = relax + ation

The numerical-analysis method name is derived from the idea of gradually easing errors/constraints, but the algorithmic specifics are technical.

Etymology

The word relaxation comes from Latin re- 'again' and laxare 'to loosen'. In math, a relaxation method uses repeated small steps to 'loosen' errors until the solution fits, like easing a tight knot until it opens. That's why relaxation here means a repeated process that reduces mistakes until they are acceptably small.