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Linearization

In mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point…

Applications, Uses of linearization & Linearization of a function

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Uses of linearization

Linear systemsJacobian matrixAutonomous systemsEigenvaluesHyperbolic equilibrium point
16 related topics

Linearization of a function

Linear functionsSlopePoint-slope formLocally linearTangent
8 related topics

Overview

MathematicsBritish EnglishLinear approximationFunctionTaylor expansion
14 related topics

Linearization of a multivariable function

Gradient
1 related topics

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Overview

Linearization of a function

Linearization of a multivariable function

Uses of linearization

Linearization tutorials

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Linearization

Nodes46
Edges45
Triples38
Avg. degree1.96
Density0.043478
Components1

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Linearization

Top relations

related to Multiphysics · 6
Linearization → Examples, In, MRI, Newton, Raphson, This
related to Example · 4
Linearization → In, Substituting, The, To
related to Stability analysis · 4
Linearization → For, In, Jacobian, This
related to Linearization of a function · 3
Linearization → For, Linearizations, The
related to Linearization tutorials · 3
Linearization → Control Design Archived, Model Analysis, Wayback Machine
related to Microeconomics · 3
Linearization → Euler, In, Under
related to Uses of linearization · 3
Linearization → For, Taylor, The
see also · 3
Linearization → L-function, Linear, Quasilinearization
is a · 2
Linearization → effective method for approximating the output of a function y, method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems
related to Linearization of a multivariable function · 1
Linearization → The

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Important terminology

displaystyle function point linear slope equation systems method tangent stability system approximation line given interest fields linearized order taylor around

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linearizationis amethod for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems0.90text
Linearizationis aeffective method for approximating the output of a function y0.90text
engineeringinstance ofThis method is used in fields0.80text
physicsinstance ofThis method is used in fields0.80text
economicsinstance ofThis method is used in fields0.80text
and ecologyinstance ofThis method is used in fields0.80text
the Simplex algorithminstance ofcost functions and non-linear components within can be linearized in order to apply a linear solving method0.80text
the Newtoninstance ofThis linearization of the system with respect to each of the fields results in a linearized monolithic equation system that can be solved using monolithic iterative solution pro…0.80text
Linearizationrelated to ExampleTo0.60section
Linearizationrelated to ExampleThe0.60section
Linearizationrelated to ExampleSubstituting0.60section
Linearizationrelated to ExampleIn0.60section

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