Rump, Siegfried M.Siegfried M.Rump2020-01-032020-01-032020-06Journal of Computational and Applied Mathematics (372): 112610 (2020-06)http://hdl.handle.net/11420/4269We discuss several methods to compute a verified inclusion of the determinant of a real or complex, point or interval matrix. For point matrices, large condition number 1015, and large dimension (n=1000) still highly accurate inclusions are computed. For real interval matrices we show that any vertex may be a unique extreme point. For wide radii we show that preconditioning may widen an inclusion significantly, and Hadamard's bound may be much better.en0377-0427Journal of computational and applied mathematics2020Elsevier ScienceClassical adjointDeterminantExtremely ill-conditioned matricesNP-hardSharp boundsVerification methodsVerified bounds for the determinant of real or complex point or interval matricesJournal Article10.1016/j.cam.2019.112610Other