 document
 Sonneveld, P. (author) report 2015
 document

Sonneveld, P. (author)Classical pointmechanics is derived from three principles —called axioms— that are based on observations of simple kinematical phenomena. Predefined concepts of ‘force’ and ‘mass’ are not required. The concept ’mass’ and corresponding concepts of momentum and energy follow from the first and second axiom. Together with the third axiom, a basic...report 2015
 document

Sonneveld, P. (author)An explanation is given of the convergence behavior of IDR(s) methods. The convergence mechanism of these algorithms has two components. The first consists of damping properties of certain factors in the residual polynomials, which becomes less important for large values of s. The second component depends on the behavior of Lanczos polynomials...journal article 2012
 document

Van Gijzen, M.B. (author), Sonneveld, P. (author)The IDR(s) method that is proposed in [18] is a very efficient limited memory method for solving large nonsymmetric systems of linear equations. IDR(s) is based on the induced dimension reduction theorem, that provides a way to construct subsequent residuals that lie in a sequence of shrinking subspaces. The IDR(s) algorithm that is given in [18...report 2010
 document

Sonneveld, P. (author)In this report the probability distributions of x and kxk are derived, where x is the solution of a finite square, completely random linear system, i.e. a system Ax = b, of which all entries are stochastically independent, and standard Gaussian distributed stochastic variables. The question on the statistical behaviour of kxk came up in [5], the...report 2010
 document

Sonneveld, P. (author)An explanation is given of the convergence behaviour of the IDR(s) methods. The convergence of the IDR(s) algorithms has two components. The first consists of damping properties of certain factors in the residual polynomials, which becomes less important for large values of s. The second component depends on the behaviour of quasiLanczos...report 2010
 document
 Van Gijzen, M.B. (author), Sonneveld, P. (author) report 2008
 document
 Sleijpen, G.L.G. (author), Sonneveld, P. (author), Van Gijzen, M.B. (author) report 2008
 document
 Sonneveld, P. (author), Van Kan, J.J.I.M. (author), Huang, X. (author), Oosterlee, C.W. (author) report 2008
 document
 Sonneveld, P. (author), Van Gijzen, M.B. (author) report 2007
 document
 Sonneveld, P. (author) report 2004
 document
 Sonneveld, P. (author) journal article 1969