(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[Dx De ; 0 0 ].[ U ; V ] = [ 0 0 ]

U : Nx1 vector

V : a scalar

Dx : NxN matrice ( dL / dx )

De : Nx1 vector ( dL / dE )

L is set of equations ( N amount )

E is a parameter in equations

x is unknowns ( N amount )

I need to derive U and V ( tangent vector components ) to apply pseudo-arclenght method to solve set of equations

I need to find a supplementary equation in form of

U(X-Xo) + V(E-Eo) - S = 0

S is the arclength step size

2. Relevant equations

Is it derivable by hand or do i need a algorithm to find U and V ?

3. The attempt at a solution

if i set V scalar as 1

U = inv(Dx)(-De) i can deduce U components

but if V is zero then i cant find N-dimensional vector ,

I heard that it can be done with triangulation and complete pivoting. How could it be possible?

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# Homework Help: Triangulation and pivoting

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