TY - GEN A1 - Mehrmann, Volker A1 - Xu, Hongguo T1 - Explicit Solutions for a Riccati Equation from Transport Theory N2 - We derive formulas for the minimal positive solution of a particular non-symmetric Riccati equation arising in transport theory. The formulas are based on the eigenvalues of an associated matrix. We use the formulas to explore some new properties of the minimal positive solution and to derive fast and highly accurate numerical methods. Some numerical tests demonstrate the properties of the new methods. KW - non-symmetric Riccati equation KW - secular equation KW - eigenvalues KW - minimal positive solution KW - Cauchy matrix KW - transport theory KW - quadrature formula Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/428 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4283 ER -