On the solution of nonlinear matrix integral equations in transport theory
- 1 September 1976
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (9) , 1722-1726
- https://doi.org/10.1063/1.523100
Abstract
The 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.Keywords
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