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International Journal of Computer Mathematics Volume 8, 1980 - Issue 2
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Original Articles

A modification of the quadrant interlocking factorisation parallel method

D.J. Evans Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, U.K
&
A. Hadjidimos Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, U.K
Pages 149-166 | Received 01 Oct 1978, Published online: 20 Mar 2007

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M. M. Chawla & R. R. Khazal. (2003) A New Wz Factorization For Parallel Solution Of Tridiagonal Systems. International Journal of Computer Mathematics 80:1, pages 123-131.
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D.J. Evans. (2002) The QIF Singular Value Decomposition Method. International Journal of Computer Mathematics 79:5, pages 637-645.
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D. J. Evans. (2000) A systolic processor array for the quadrant interlocking elimination method. International Journal of Computer Mathematics 74:1, pages 29-44.
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D.J. Evans. (1999) The choleski Q.I.F. algorithm for solving symmetric linear systems. International Journal of Computer Mathematics 72:3, pages 283-288.
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MOHANK. KADALBAJOO & A. APPAJI RAO. (1995) PARALLEL METHOD FOR SOLVING SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS. Parallel Algorithms and Applications 7:1-2, pages 121-131.
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YURIR BOGLAEV. (1994) ENTROPY OF ALGORITHMS AND POTENTIAL PARALLELISM. Parallel Algorithms and Applications 3:1-2, pages 109-133.
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S. CHANDRA SEKHARA RAO. (1994) PARALLEL SOLUTION OF THE LINEAR SYSTEMS BY AN ALTERNATE QUADRANT INTERLOCKING FACTORIZATION METHOD∗ . Parallel Algorithms and Applications 4:1-2, pages 1-20.
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M. M. Chawla, R. R. Khazal & H. F. Al-Fahd. (1994) A direct incomplete factorization method for parallel solution of tridiagonal linear systems. International Journal of Computer Mathematics 54:3-4, pages 249-259.
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S. Chandra Sekhara Rao & Mohan K. Kadalbajoo. (1994) On the existence of the new quadrant interlocking factorization for parallel solution of tridiagonal linear systems. International Journal of Computer Mathematics 51:3-4, pages 181-192.
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M. M. Chawla & K. Passi. (1994) A parallel elimination method for the solution of banded linear systems. International Journal of Computer Mathematics 50:3-4, pages 197-201.
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Dušan Caf & David J. Evans. (1993) Computing the U L factorisation by newton's method. International Journal of Computer Mathematics 48:1-2, pages 39-51.
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M. M. Chawla & K. Passi. (1991) A new quadrant interlocking factorization for parallel solution of tridiagonal linear systems. International Journal of Computer Mathematics 39:1-2, pages 99-107.
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J. Shanehchi & D. J. Evans. (1982) Further analysis of the quadrant interlocking factorisation (Q.I.F.) method. International Journal of Computer Mathematics 11:1, pages 49-72.
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D.J. Evans, A. Hadjidimos & D. Noutsos. (1981) The parallel solution of banded linear equations by the new quadrant interlocking factorisation (q.i.f.) method. International Journal of Computer Mathematics 9:2, pages 151-161.
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Articles from other publishers (16)

S. Chandra Sekhara Rao & Rabia Kamra. (2021) A computational technique for parallel solution of diagonally dominant banded linear systems. A computational technique for parallel solution of diagonally dominant banded linear systems.
Rabia Kamra & S. Chandra Sekhara Rao. (2021) A stable parallel algorithm for block tridiagonal toeplitz–block–toeplitz linear systems. Mathematics and Computers in Simulation 190, pages 1415-1440.
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S. Chandra Sekhara Rao & Rabia Kamra. (2018) A hybrid parallel algorithm for large sparse linear systems. Numerical Linear Algebra with Applications 25:6.
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S. Chandra Sekhara Rao & Rabia Kamra. (2015) A Stable Parallel Algorithm for Diagonally Dominant Tridiagonal Linear Systems. A Stable Parallel Algorithm for Diagonally Dominant Tridiagonal Linear Systems.
B. PRAMEELA & L. M. PATNAIK. (1999) PARALLEL IMPLEMENTATION OF ALTERNATE QUADRANT INTERLOCKING FACTORISATION METHOD ON STAR TOPOLOGY. International Journal of High Speed Computing 10:04, pages 361-378.
Crossref
A. Benaini & D. Laiymani. (1994) Parallel block generalized WZ factorization. Parallel block generalized WZ factorization.
R Asenjo, M Ujaldón & E.L Zapata. (1993) Parallel WZ factorization on mesh multiprocessors. Microprocessing and Microprogramming 38:1-5, pages 319-326.
Crossref
I García, J.J Merelo, J.D Bruguera & E.L Zapata. (1990) Parallel quadrant interlocking factorization on hypercube computers. Parallel Computing 15:1-3, pages 87-100.
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R. V. Helgason, J. L. Kennington & H. A. Zaki. (1988) A parallelization of the simplex method. Annals of Operations Research 14:1, pages 17-40.
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D.J. Evans & M.P. Bekakos. (1988) The solution of linear systems by the QIF algorithm on a wavefront array processor. Parallel Computing 7:1, pages 111-130.
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N. M. Missirlis & F. Tjaferis. 1988. Supercomputing. Supercomputing 926 938 .
James M. Ortega & Robert G. Voigt. (1985) Solution of Partial Differential Equations on Vector and Parallel Computers. SIAM Review 27:2, pages 149-240.
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V. N. Faddeeva & D. K. Faddeev. (1983) Parallel computations in linear algebra. II. Cybernetics 18:3, pages 288-304.
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D.J. Evans, A. Hadjidimos & D. Noutsos. (1981) Parallel solution of linear systems by quadrant interlocking factorisation methods. Computer Methods in Applied Mechanics and Engineering 29:1, pages 97-107.
Crossref
D.J. Evans & A. Hadjidimos. (1981) Parallel solution to certain banded, symmetric and centro-symmetric systems by using the quadrant interlocking factorisation method. Mathematics and Computers in Simulation 23:2, pages 180-187.
Crossref
J. Shanehchi & D. J. Evans. 1981. Conpar 81. Conpar 81 493 507 .

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