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Triangulation and pivoting

  1. Sep 23, 2011 #1
    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?
  2. jcsd
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