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.