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Code Listing by Nick Henderson

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To compute the LU factorization under default settings:

[L U p q] = lucp(A)

This produces a factorization such that L*U = A(p,q). Vectors p and q permute the rows and columns, respectively.

The pivot tolerance can be controlled:

[L U p q] = lucp(A,tol)

The algorithm will terminate if the absolute value of the pivot is less than tol.

Permutation matrices can be generated:



PP = PCHIPD(X,Y,D) provides the piecewise cubic polynomial which interpolates values Y and derivatives D at the sites X. This is meant to augment the built-in Matlab function PCHIP, which does not allow the user to specify derivatives.