An extended set of FORTRAN basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Direct methods for sparse matrices
Direct methods for sparse matrices
A set of level 3 basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
Using Strassen's algorithm to accelerate the solution of linear systems
The Journal of Supercomputing
Elimination structures for unsymmetric sparse LU factors
SIAM Journal on Matrix Analysis and Applications
Algorithmic bombardment for the iterative solution of linear systems: a poly-iterative approach
Journal of Computational and Applied Mathematics - Special issue on TICAM symposium
Locality of Reference in LU Decomposition with Partial Pivoting
SIAM Journal on Matrix Analysis and Applications
Recursion leads to automatic variable blocking for dense linear-algebra algorithms
IBM Journal of Research and Development
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
SIAM Journal on Matrix Analysis and Applications
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
ACM Transactions on Mathematical Software (TOMS)
Automatically tuned linear algebra software
SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
Recursive Blocked Data Formats and BLAS's for Dense Linear Algebra Algorithms
PARA '98 Proceedings of the 4th International Workshop on Applied Parallel Computing, Large Scale Scientific and Industrial Problems
Reducing the bandwidth of sparse symmetric matrices
ACM '69 Proceedings of the 1969 24th national conference
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Supernodal Approach to Sparse Partial Pivoting
A Supernodal Approach to Sparse Partial Pivoting
Sparse gaussian elimination on high-performance computers
Sparse gaussian elimination on high-performance computers
Applying recursion to serial and parallel QR factorization leads to better performance
IBM Journal of Research and Development
Minimal-storage high-performance Cholesky factorization via blocking and recursion
IBM Journal of Research and Development
The university of Florida sparse matrix collection
ACM Transactions on Mathematical Software (TOMS)
Condensed matrix method for implicit type scheme in imaginary distance beam propagation method
Journal of Computational Methods in Sciences and Engineering
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This paper describes a recursive method for the LU factorization of sparse matrices. The recursive formulation of common linear algebra codes has been proven very successful in dense matrix computations. An extension of the recursive technique for sparse matrices is presented. Performance results given here show that the recursive approach may perform comparable to leading software packages for sparse matrix factorization in terms of execution time, memory usage, and error estimates of the solution.