Browsing Bergen Open Research Archive by Author "Malyshev, Alexander"
Malyshev, Alexander; Sadkane, Miloud (Journal article; Peer reviewed, 2020)A bisection method is used to compute lower and upper bounds on the distance from a quadratic matrix polynomial to the set of quadratic matrix polynomials having an eigenvalue on the imaginary axis. Each bisection step ...
Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements Hanson, Erik Andreas; Sandmann, Constantin; Malyshev, Alexander; Lundervold, Arvid; Modersitzki, Jan; Hodneland, Erlend (Peer reviewed; Journal article, 2018-07-20)One-compartment models are widely used to quantify hemodynamic parameters such as perfusion, blood volume and mean transit time. These parameters are routinely used for clinical diagnosis and monitoring of disease development ...
Sur la distance à l'instabilité de polynômes matriciels quadratiques / On the distance to instability of quadratic matrix polynomials Malyshev, Alexander; Sadkane, Miloud (Peer reviewed; Journal article, 2019-06-27)A bisection method is developed for computing the distance to instability of quadratic matrix polynomials. The computation takes rounding errors into account.