References
- http://en.wikipedia.org/wiki/Error_detection_and_correction
- K. S. Andrews, D. Divasalar, S. Dolinar, J. Hamkins, C.R. Jones, and F. Pollara, The Development of Turbo and LDPC Codes for Deep-Space Applications, Proceedings of the IEEE 95, No.11, Nov 2007.
- W. Huffman and V. Pless, Fundamentals of error-correcting codes, Cambridge University Press, ISBN 9780521782807, 2003.
- S.K. Sen, Near-singular/ill-conditioned singular systems: Nclinsolver versus Matlab solvers, Chapter 17 of the book Advances in Mathematical Problems in Engineering Aerospace and Sciences (ed. Dr. Seenith Sivasundaram), Ooh Publishing, United King- dom, 2008, 183-200. Also includes, as an appendix, the article Dr. Lak.: The man I know of.
- S.K. Sen, R.P. Agarwal, and G.A. Shaykhian, Ill- Versus Well-conditioned Singular Linear Systems: Scope of Randomized Algorithms, J. Appl. Math. & Informatics 27(2009), Nos. 3-4, 621-638, Website: http://www.kcam.biz.
- S.K. Sen and Sagar Sen, Linear systems: Relook, concise algorithms, and Matlab programs, National Journal of Jyoti Research Academy 1(2007), No.1, 1-8.
- S.K. Sen, Open problems in computational linear algebra, Nonlinear Analysis 63(2005), 926-934 , 63(2005), 926-934, (Available online at www.sciencedirect.com). https://doi.org/10.1016/j.na.2004.12.040
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S.K. Sen and Sagar Sen, O(
$n^3$ ) g-inversion-free noniterative near-consistent linear sys- tem solver for minimum-norm least-squares and nonnegative solutions, J. Computational Methods in Sciences and Engineering, 6(2006) Nos. 1,4, 71-85. - V. Lakshmikantham, S.K. Sen, and S. Sivasundaram, Concise row-pruning algorithm to invert a matrix, Applied Mathematics and Computation, 60(1994), 17-24.
- E.V. Krishnamurthy and S.K. Sen, Numerical Algorithms: Computations in Science and Engineering, Affiliated East-West Press, New Delhi, 2007.
- G. D. Smith, Numerical Solution of Partial Differential Equations, Oxford University Press, Oxford, 1965.
- S.K. Sen, H. Agarwal, and S. Sen, Chemical equation balancing: An integer programming approach, Mathematical and Computer Modelling, 44(2006), 678-691. https://doi.org/10.1016/j.mcm.2006.02.004
- V. Lakshmikantham and S.K. Sen, Computational Error and Complexity in Science and Engineering, Elsevier, Amsterdam, 2005.
- S.K. Sen, S. Ramakrishnan, and R.P. Agarwal, Solving Linear Program as Linear System in Polynomial-time, Mathematical and Computer Modelling, 53(2011), 1056-1073. https://doi.org/10.1016/j.mcm.2010.11.065
- E.A. Lord, V. Ch. Venkaiah and S.K. Sen, A concise algorithm to solve under-/overdetermined linear systems, SIMULATION, 54(1990), 239-240. https://doi.org/10.1177/003754979005400503
- E.A. Lord, V. Ch. Venkaiah and S.K. Sen, A shrinking polytope method for linear programming, Neural, Parallel & Scientific Computations, 4(1996), 325-340.
- C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and Its Application, Wiley, 1971.
- V. Lakshmikantham, S.K. Sen and G.W. Howell, Vectors versus matrices: p-inversion, cryptographic applications, and vector implementation, Neural, Parallel & Scientific Com- putations, 4(1996), 129-140.
- R. Penrose, A generalized inverse for matrices, Proc. Chemb. Phil. Soc., 51(1955), 406- 413. https://doi.org/10.1017/S0305004100030401
- E.H. Moore, On the reciprocal of the general algebraic matrix (abs.),Bull. Amer. Math. Soc., 26(1920), 394-395.
- S.K. Sen and E.V. Krishnamurthy, Rank-augmented LU-algorithm for computing generalized matrix inverses, IEEE Trans. Computers, C-23(1974), 199-201.
- S.K. Sen and S.S. Prabhu, Optimal iterative schemes for computing Moore-Penrose matrix inverse, Int. J. Systems. Sci. 8(1976), 748-753.