Virginia TechBowden, Robert L.Zweifel, Paul F.Menikoff, R.2014-04-092014-04-091976-09Bowden, R. L.; Zweifel, P. F.; Menikoff, R., "On the solution of nonlinear matrix integral equations in transport theory," J. Math. Phys. 17, 1722 (1976); http://dx.doi.org/10.1063/1.5231000022-2488http://hdl.handle.net/10919/47084The coupled nonlinear matrix integral equations for the matrices X (z) and Y (z) which factor the dispersion matrix Λ (z) of multigroup transport theory are studied in a Banach space X. By utilizing fixed‐point theorems we are able to show that iterative solutions converge uniquely to the ’’physical solution’’ in a certain sphere of X. Both isotropic and anisotropic scattering are considered.en-USIn Copyrightintegral equationsmatrix theoryanisotropyArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/17/9/10.1063/1.523100https://doi.org/10.1063/1.523100