Research, is a bonade record of the research work done by him under my supervision. The contents of this thesis, in full or in parts, have not been submitted to any other Institute or University for the award of any degree or diploma.
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150
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The role of elimination trees in sparse factorization
– Liu
- 1990
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133
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Combinatorial Algorithms: Theory and Practice
– Reingold, Nievergelt, et al.
- 1977
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129
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Modification of the minimum degree algorithm by multiple elimination
– Liu
- 1985
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126
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Parallel algorithms for sparse linear systems
– Heath, Ng, et al.
- 1991
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76
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The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
– Liu
- 1992
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68
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Matrix Computations, second edition
– Golub, Loan
- 1989
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65
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On direct methods for solving Poisson's equations
– Buzbee, Golub, et al.
- 1970
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64
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A fast direct solution of Poisson's equation using Fourier analysis
– Hockney
- 1965
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46
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A fast algorithm for reordering sparse matrices for parallel factorization
– Lewis, Peyton, et al.
- 1989
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43
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A fan-in algorithm for distributed sparse numerical factorization
– Ashcraft, Eisenstat, et al.
- 1990
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33
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A new method for solving triangular systems on distributed-memory message-passing multiprocessors
– Li, Coleman
- 1989
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32
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Orderings for parallel sparse symmetric factorization
– Leiserson, Lewis
- 1987
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31
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Parallel Tridiagonal Equation Solvers
– Stone
- 1975
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30
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Reordering sparse matrices for parallel elimination
– Liu
- 1989
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29
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Communication results for parallel sparse Cholesky factorization on a hypercube
– George, Liu, et al.
- 1989
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25
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Analysis and Design of Parallel Algorithms: Arithmetic and Matrix Problems
– Lakshmivarahan, Dhall
- 1990
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25
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Computational models and task scheduling for parallel sparse Cholesky factorization
– Liu
- 1986
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25
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On stable parallel linear system solvers
– Sameh, Kuck
- 1978
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23
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A survey of parallel algorithms in numerical linear algebra
– Heller
- 1978
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20
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Parallel sparse Gaussian elimination with partial pivoting
– George, Ng
- 1990
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20
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Optimizing tridiagonal solvers for alternating direction methods on boolean cube multiprocessors
– Johnsson, Ho
- 1990
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19
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A data structure for parallel L/U decomposition
– Jess, Kees
- 1982
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18
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A comparison of three column based distributed sparse factorization schemes
– Ashcraft, Eisenstat, et al.
- 1990
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18
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Equivalent sparse matrix reordering by elimination tree rotations
– Liu
- 1988
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13
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Parallel solution of triangular systems of equations
– Romine, Ortega
- 1988
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10
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The multifrontal solution of inde sparse symmetric linear systems
– Du, Reid
- 1983
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8
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Solution of partial di erential equations on vector and parallel computers
– Ortega, Voigt
- 1985
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6
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Parallel pivoting algorithms for sparse symmetric matrices
– Peters
- 1984
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5
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Odd-even Cyclic Reduction on Ensemble Architecture and the Solution of Tridiagonal System of Equations
– Johnsson
- 1984
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5
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G.Karypis, Introduction to Parallel Computing - Design and Analysis of Algorithms, Benjamin/Cummings
– Kumar, Gupta
- 1994
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4
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and A.Basu, Parallel algorithms for sparse triangular system solution
– Kumar
- 1993
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4
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The Parallel Recursive Decoupling Algorithm for Solving Tridiagonal
– SPALETTA, EVANS
- 1993
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3
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H.Jordan, Multiprocessor sparse L/U decomposition with controlled
– Alaghband
- 1985
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3
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Parallel nested dissection
– Conroy
- 1990
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3
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H.Hafsteinsson, Parallel symbolic factorization for sparse linear systems
– Gilbert
- 1990
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3
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A parallel algorithm for solving tridiagonal linear systems on distributed memory multiprocessors, Intl
– Lin, Chen
- 1994
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2
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J.Jimenez, A binary tree implementation of a parallel distributed tridiagonal solver
– Agui
- 1995
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2
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Optimised cyclic reduction for the solution of linear tridiagonal systems on parallel computers
– Amodio
- 1993
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2
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J.W.H.Liu and E.Ng, Computer Solution of Large Sparse Positive De Systems
– George
- 1981
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2
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J.W.H.Liu and E.Ng, Solution of sparse positive de systems on hypercube
– George
- 1989
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2
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J.W.H.Liu and E.Ng, Sparse Cholesky factorization on a local memory multiprocessor
– George
- 1988
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2
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E.Ng and J.W.H.Liu, Symbolic Cholesky factorization on local memory multiprocessor
– George
- 1987
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2
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Parallel Algorithms Related to Chordal Graphs
– Ho
- 1988
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2
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and A.Basu, A parallel algorithm for elimination tree computation and symbolic factorization
– Kumar
- 1992
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2
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Algorithms for Parallel Solution of Linear Equations on Distributed Memory Multiprocessors
– Murthy
- 1995
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2
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C.S.R.Murthy, A new Gaussian elimination based algorithm for parallel solution of linear equations
– Murthy
- 1995
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2
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Parallel direct solution of sparse linear systems, Parallel Supercomputing: Methods, Algorithms and Applications
– Ng
- 1989
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1
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Parallel solution of elliptic partial dierential equations on a tree machine
– Pargas
- 1982
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