JacobianMatrix - Maple Help
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RegularChains[MatrixTools]

  

JacobianMatrix

  

Jacobian matrix of a polynomial system modulo a regular chain

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

JacobianMatrix(sys, rc, R)

Parameters

sys

-

system of polynomials in R

rc

-

strongly normalized regular chain

R

-

polynomial ring

Description

• 

The command JacobianMatrix(sys, rc, R) returns the Jacobian matrix of sys modulo the saturated ideal of rc.

• 

This command is part of the RegularChains[MatrixTools] package, so it can be used in the form JacobianMatrix(..) only after executing the command with(RegularChains[MatrixTools]).  However, it can always be accessed through the long form of the command by using RegularChains[MatrixTools][JacobianMatrix](..).

Examples

(1)

(2)

(3)

(4)

(5)

(6)

See Also

Equations

IsStronglyNormalized

LowerEchelonForm

MatrixInverse

MatrixMultiply

MatrixOverChain

MatrixTools

NormalForm

PolynomialRing

RegularChains

Triangularize

 


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