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Dr.V.Ch.Venkaiah, Publications
Papers Published in Reviewed Journals
V. Ch. Venkaiah and S. K. Sen, Computing a Matrix Symmetrizer Exactly using a Modified Multiple Modulus Arithmetic, Journal of Computational and Applied Mathematics, Vol. 21, pp. 27-40, 1988.
S. K. Sen and V. Ch. Venkaiah, On Computing an Equivalent Symmetric Matrix for a Non-symmetric Matrix, International Journal of Computer Mathematics, Vol. 24, No. 2, 1988.
V. Ch. Venkaiah and S. K. Sen, A Floating-Point-Like Modular Arithmetic for Polynomials with Application to Rational Matrix Processors, Advances in Modelling and Simulation, Vol. 9, No. 1, pp. 1-12, 1987.
S. K. Sen and V. Ch. Venkaiah, On Symmetrizing a Matrix, Indian Journal of Pure and Applied Mathematics, Vol. 19, No. 6, pp. 554-561, 1988.
E. A. Lord, S. K. Sen, and V. Ch. Venkaiah, A Concise Algorithm to Solve Over-/Under Determined Linear Systems, Simulation, Vol. 54, No. 5, pp. 239-240, 1990.
E. A. Lord, S. K. Sen, and V. Ch. Venkaiah, A Concise Algorithm to Solve Linear Equations, Computer Science and Informatics, Vol. 19, No. 2, pp. 36-38.
V. Ch. Venkaiah, An Efficient Algorithm for Linear Programming, Proceedings of Indian Academy of Sciences (Mathematical Sciences), Vol. 100, No. 3, pp. 295-301.
V. Ch. Venkaiah and S. K. Sen, Error-free Matrix Symmetrizers and Equivalent Symmetric Matrices, Acta Applicandae Mathematicae, Vol. 21, pp. 291-313, 1990.
V. Ch. Venkaiah, An RSA Based Public Key Cryptosystem for Secure Communication, Proceedings of Indian Academy of Sciences (Mathematical Sciences), Vol. 102, No. 2, pp. 147-153, 1992.
V. Ch. Venkaiah and A. Paulraj, Subspace Rotation Using Modified Householder Transforms and Projection Matrices . Robustness of DOA algorithms, Signal Processing, Vol. 36, No. 1, pp. 91-98, 1994.
V. Ch. Venkaiah, V. V. Krishna, and A. Paulraj, Householder transform in Cm, Digital Signal Processing, Vol. 3, pp. 226-227, 1993.
V. Lakshmikantham, S. K. Sen, V. Ch. Venkaiah, and S. Sivasundaram, Stabilizing Trench.s Algorithm to Invert Symmetric Toeplitz Matrices, Journal of Mathematical Analysis and Applications.
V. Ch. Venkaiah, Deriving Karmarkar.s LP Algorithm Using Angular Projection Matrix, Proceedings of Indian Academy of Sciences (Mathematical Sciences), Vol. 106, No. 1, pp. 69-77, 1996.
E. A. Lord, V. Ch. Venkaiah, and S. K. Sen, A Shrinking Polytope Method for Linear Programming, Neural, Parallel & Scientific Computations, Vol. 4, No. 3, pp. 325-339.
Papers Published or Presented in Conferences
V. Ch. Venkaiah and S. K. Sen, A Non-failing Residue Arithmetic for Exact Computation with Rational Operands, for presentation in the Indian Society for Theoretical and Applied Mechanics Conference, New Delhi, 1985.
V. Ch. Venkaiah and S. K. Sen, A Floating-Point-Like Modular Arithmetic for Polynomials, Proceedings of CSI SEG First National Conference, Bangalore, 25-26 July 1986.
S. K. Sen and V. Ch. Venkaiah, On Symmetrizing a Matrix, for presentation at the 2nd National Conference on Computer Applications, Ogere, Nigeria, 25-27 February 1987.
V. Ch. Venkaiah and S. K. Sen, Variation on Karmarkar.s Algorithm for Linear Programming : On Detecting Basic Variables, for presentation in 3rd International Conference on CAD/CAM Robotics & Factories of the Future, Southfield, Michigan, USA, 14-17 August 1988.
E. A. Lord, S. K. Sen, and V. Ch. Venkaiah, A Concise Algorithm to Solve Linear Equations, Proceedings of CSI Conference, Bangalore, 20-23 September 1989.
E. A. Lord, V. Ch. Venkaiah, and S. K. Sen, An algorithm to Compute a Centre of a Polytope, for presentation at the Second SIAM Conference on Linear Algebra in Signals, Systems and Control, San Francisco, 5-8 November 1990. Also in Proceedings of CSI Conference, Calcutta, October 1990.
S. K. Sen and V. Ch. Venkaiah, Stabilizing Zohar.s Algorithm to Invert a Symmetric Toeplitz Matrix, Proceedings of Indian Computing Congress held at Hyderabad during 22nd to 24th November 1990.
V. Ch. Venkaiah and A. Paulraj, Subspace Rotation Using Modified Householder Transforms and Projection Matrices, for presentation at the Fourth SIAM Conference on Applied Linear Algebra, Minneapolis, 11-14 September 1991.
E. A. Lord, V. Ch. Venkaiah, and S. K. Sen, Solution of Linear Programming Problems by a Centring Algorithm, for presentation at the CSI Conference, New Delhi, September 29th to October 2nd, 1991.
V. Ch. Venkaiah, A Brief Encounter With Encryption Algorithms, Proceedings of Infotek.99, New Delhi, 24-26th Feb., 1999.
Mukul Subodh Bansal and V. Ch. Venkaiah, Improved algorithm for finding the maximum clique in a graph using BDD's, for presentation in Graph Theory of Brian Aspatch conference held at Simon Faser university, Burnaby, B.C, Canada from May 25th to May 29th, 2003.
Mukul Subodh Bansal and V. Ch. Venkaiah Improved Fully Polynomial Time Approximation Scheme for the 0-1 Multiple Choice Knapsack Problem, for presentation in SIAM Conference on Discrete Mathematics to be held during 13-16, June 2004 at the Loews Vanderbilt Plaza Hotel, Nashville, Tennessee.
Papers in Preparation/Communicated
E. A. Lord, V. Ch. Venkaiah, and S. K. Sen, An algorithm to Compute a Center of a Polytope, Communicated.
V. Ch. Venkaiah, Symmetric Block Cipher System over GF(2n) : A Novel Method to Introduce Non-linearity Using Linear Feedback Shift Registers, Communicated.
V. Ch. Venkaiah, Simple Approach to Generate RSA Keys . An Improvement, Communicated.
Mukul Subodh Bansal and V. Ch. Venkaiah, Improved Fully Polynomial Time Approximation Scheme for the 0-1 Multiple Choice Knapsack Problem, Being Communicated.
Technical Reports
V. Ch. Venkaiah, An Efficient Algorithm for Linear Programming, Technical Report, TR\SERC\KBCS\89-003, SERC, IISc, Bangalore, 1989.
E. A. Lord, V. Ch. Venkaiah, and S. K. Sen, An Algorithm to Compute a Centre of a Polytope, Technical Report, TR-CRL-ISG-04, Central Research Laboratory, Bharat Electronics, Bangalore, 1990.
V. Ch. Venkaiah, V. V. Krishna, and A. Paulraj, Subspace Rotation Using Generalized Householder Transformation and Projection Matrices, Technical Report, TR-CRL-ISG-12, Central Research Laboratory, Bharat Electronics, Bangalore, 1990
V. Ch. Venkaiah, Is This A Secure Cryptosystem?, Labtalk, Vol. 1, No. 2, 1991. Labtalk is an house Journal of Central Research Laboratory, Bharat electronics, Bangalore.
V. Ch. Venkaiah, General Purpose Factorization Algorithms, Technical Report, TR-CRL-ISG-25, Central Research Laboratory, Bharat Electronics, Bangalore, 1993.
V. Ch. Venkaiah, A Theory of Quadratic Congruences, Technical Report, TR-CRL-ISG-26, Central Research Laboratory, Bharat Electronics, Bangalore, 1993.
V. Ch. Venkaiah, A New Factorization Algorithm, Technical report, TR-CRL-ISG-27, Central Research Laboratory, Bharat Electronics, Bangalore, 1993.
Mukul Subodh Bansal and V. Ch. Venkaiah, Improved algorithm for finding the maximum clique in a graph using BDD's, Technical Report, International Institute of Information Technology, Hyderabad, 2004.
Mukul Subodh Bansal and V. Ch. Venkaiah Improved Fully Polynomial Time Approximation Scheme for the 0-1 Multiple Choice Knapsack Problem, Technical Report, International Institute of Information Technology, Hyderabad, 2004.
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