7 citations · 13 across the 2 of their papers we have counts for
5 papers
Bounds on the spectrum of nonsingular triangular -matrices
Vesa Kaarnioja
Let be the set of all nonsingular lower triangular -matrices. Hong and Loewy (2004) introduced the numbers $$ c_n={\rm min}\{λ\mid λ~\text{is an eigenvalue…
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo +2
We study an optimal control problem under uncertainty, where the target function is the solution of an elliptic partial differential equation with random coefficients, steered by a…
Uncertainty quantification using periodic random variables
Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Many studies in uncertainty quantification have been carried out under the assumption of an input random field in which a countable number of independent random variables are each…
Positive definite functions on semilattices
Vesa Kaarnioja, Pentti Haukkanen, Pauliina Ilmonen +1
We introduce a notion of positive definiteness for functions defined on meet semilattices and prove several properties for these functions…
Generalized eigenvalue problems for meet and join matrices on semilattices
Pauliina Ilmonen, Vesa Kaarnioja
We study generalized eigenvalue problems for meet and join matrices with respect to incidence functions on semilattices. We provide new bounds for generalized eigenvalues of meet m…