【摘 要】
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Differential algebraic equations(DAEs)arise naturally in dynami-cal system modeling,such as electric circuits,mechanical systems and spacecraft dynamics.Gen
【机 构】
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Chengdu Institute of Computer Applications,Chinese Academy of Sciences
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Differential algebraic equations(DAEs)arise naturally in dynami-cal system modeling,such as electric circuits,mechanical systems and spacecraft dynamics.Generally,these DAEs are large scale nonlinear systems with block structures and high indices which require index reductions for numerical solving.In this paper,motivated by Pryces structural index reduction method for DAEs,we show the complexity of the fixed-point iteration algorithm and propose a fixed-point itera-tion method with parameters.It leads to a block fixed-point iteration method which can be applied to large-scale DAEs with block upper triangular structure.Moreover,its complexity analysis is also given in this paper.
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