Object-oriented analysis and design with applications (2nd ed.)
Object-oriented analysis and design with applications (2nd ed.)
Object-oriented design of preconditioned iterative methods in diffpack
ACM Transactions on Mathematical Software (TOMS)
Efficient management of parallelism in object-oriented numerical software libraries
Modern software tools for scientific computing
Accurate Symmetric Indefinite Linear Equation Solvers
SIAM Journal on Matrix Analysis and Applications
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
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We discuss the object-oriented design of a software package for solving sparse, symmetric systems of equations (positive definite and indefinite) by direct methods. At the highest layers, we decouple data structure classes from algorithmic classes for flexibility. We describe the important structural and algorithmic classes in our design, and discuss the trade-offs we made for high performance. The kernels at the lower layers were optimized by hand. Our results show no performance loss from our object-oriented design, while providing flexibility, ease of use, and extensibility over solvers using procedural design.