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A fast LDL-factorization approach for large sparse positive definite system and its application to one-to-one marketing optimization computation
LDL-factorization is an efficient way of solving Ax = b for a large symmetric positive definite sparse matrix A . This paper presents a new method...
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Local fill reduction techniques for sparse symmetric linear systems
Local algorithms for obtaining pivot orderings for sparse symmetric coefficient matrices are reviewed together with their mathematical background,...
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Direct Sparse Equation Solvers
In this chapter, various topics related to direct sparse equation solvers for symmetrical/unsymmetrical, positive/negative/infinite system of...
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Leonardo’s Knight
Carlo Pedretti was the first to discover the tell-tale fragments of Leonardo’s Robot Knight in the Codex Atlanticus.1 My effort to interpret and...
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An efficient parallel algorithm for shortest paths in planar layered digraphs
This paper presents an efficient parallel algorithm for the shortest path problem in planar layered digraphs that runs in O (log 3 n ) time with n ...
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Availability Analysis for Multitask Production Systems
A multitask production system is one in which different subsets of the components can be used to perform distinct functions or tasks. For such a...
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Parallel computation of a damage localization problem using parallel multifrontal solver
In this paper, nonlinear parallel structural analyses are performed using a distributed memory sparse direct multifrontal linear solver. The linear...
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On hexahedral finite element HC8/27 in elasticity
A new three-dimensional multifield finite element approach for analysis of isotropic and anisotropic materials in linear elastostatics, derived from...
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On using radial basis functions in a “finite difference mode” with applications to elasticity problems
A way of using RBF as the basis for PDE’s solvers is presented, its essence being constructing approximate formulas for derivatives discretizations...
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Simulating Realistic Bridging and Crosstalk Faults in an Industrial Setting
Three different techniques for simulating realistic faults generated from IC layout are discussed. Two of them deal with bridging faults, and the...
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Hierarchical Sparsity in Multistage Stochastic Programs
Interior point methods for multistage stochastic programs involve KKT systems with a characteristic global block structure induced by dynamic...
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Block Exchange in Graph Partitioning
In a seminal paper (An efficient heuristic procedure for partitioning graphs, Bell System Technical Journal, 49 (1970), pp. 291–307), Kernighan and...
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Traversing Limit Points in Nonlinear Structural Analysis Using Efficient Iterative Equation Solvers
The traversal of limit points and the detection of bifurcation points in structural analysis using direct solvers is a well-known standard technique...
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Recent Advances in Sensitivity Analysis for Nonlinear Structural Mechanics Problems
Recent developments in the sensitivity analysis for nonlinear structural mechanics and dynamics problems are reviewed. The activities are grouped...
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Recursive Direct Algorithms for Multistage Stochastic Programs in Financial Engineering
Multistage stochastic programs can be seen as discrete optimal control problems with a characteristic dynamic structure induced by the scenario tree....
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A knowledge-based search framework for designing composite structures
In this paper, a search framework is presented that makes a genetic algorithm (GA) a practical engineering tool for searching discrete and nonconvex...