TY - GEN A1 - Steinbach, Marc T1 - Tree-Sparse Convex Programs N2 - Dynamic stochastic programs are prototypical for optimization problems with an inherent tree structure inducing characteristic sparsity patterns in the KKT systems of interior methods. We propose an integrated modeling and solution approach for such tree-sparse programs. Three closely related natural formulations are theoretically analyzed from a control-theoretic viewpoint and compared to each other. Associated KKT solution algorithms with linear complexity are developed and comparisons to other interior approaches and related problem formulations are discussed. T3 - ZIB-Report - 01-08 KW - Convex program KW - tree KW - discrete-time optimal control multistage stochastic program KW - recursive factorization KW - local projection Y1 - 2001 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/634 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-6340 ER -