Abstract A well-known and successful algorithm to compute the singular value decomposition (SVD) of a matrix was published by Golub Reinsch ( Numer. Math. 14:403–420, 1970), together with an implementation in Algol. We give updated extended double precision arithmetic C programming language. Extended is native for Intel x86 processors provides improved accuracy at full hardware speed. The compl...

In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order given by w''-1/r w'=w^2/(2r^2 )+1/2 λ r^2. The problem depends on the parameter λ and admits multiple solutions. Therefore, it is difficult to...