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Properties Of Some Matrix Classes In Linear Complementarity Theory., Arup Kumar Das Dr. Nov 2006

Properties Of Some Matrix Classes In Linear Complementarity Theory., Arup Kumar Das Dr.

Doctoral Theses

The linear complementarity problem is a fundamental problem that arises in optimization, game theory, economics, and engineering. It can be stated as follows:Given a square matrix A of order n with real entries and an n dimensional vector q, find n dimensional vectors w and z satisfying w − Az = q, w ≥ 0, z ≥ 0 (1.1.1) w t z = 0. (1.1.2)This problem is denoted as LCP(q, A). The name comes from the condition (1.1.2), the complementarity condition which requires that at least one variable in the pair (wj , zj ) should be equal to 0 …


Some Problems In Additive Number Theory., Gyan Prakash Dr. Oct 2006

Some Problems In Additive Number Theory., Gyan Prakash Dr.

Doctoral Theses

No abstract provided.


Multiattribute Acceptance Sampling Plans., Anup Majumdar Dr. Sep 2006

Multiattribute Acceptance Sampling Plans., Anup Majumdar Dr.

Doctoral Theses

Irrespective of the type of product, evaluation of conformity to specified requirements of its quality characteristics is an integral part of quality assurance. Although they form a set of necessary verification activities almost at all stages of production, these activities, known as inspection do not add value to the product on their own and are to be kept at their minimum. The sampling inspection where a portion of a collection of product units is inspected on a set of characteristics with a view to making decision about acceptance or otherwise becomes relevant in this context.The number of elements of the …


Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr. Aug 2006

Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr.

Doctoral Theses

MotivationThe issue of measurement of voting power is a very important topic of discussion in social science these days. The concept of voting power concerns any collective decision making body (or, equivalently, a collectivity) which makes ‘yes’ or ‘no’ decisions on any issue, by the process of voting. Examples of such bodies abound in today’s world. The United Nations Security Council, The Council of Ministers in the European Union, the Parliament of the republic of India, the board room of any corporate house etc., are all examples of such decision making bodies.The voting process of each of these bodies is …


Uncertainty Principles On Nilpotent Lie Groups., Sanjay Parui Dr. Jul 2006

Uncertainty Principles On Nilpotent Lie Groups., Sanjay Parui Dr.

Doctoral Theses

No abstract provided.


Automatic Recognition Of Printed And Handwritten Mathematical Expressions., Shri Sahadeb Garain Dr. May 2006

Automatic Recognition Of Printed And Handwritten Mathematical Expressions., Shri Sahadeb Garain Dr.

Doctoral Theses

This thesis presents a systematic study on recognition of printed and handwritten mathematical expressions. Automatic recognition of printed expressions is an essential requirement for efficient Optical Character Recognition (OCR) of scientific paper documents. On the other hand, recognition of handwritten expressions has been tried for online environment. Here expressions are written using electronic data tablet/stylus providing a convenient alternative to keyboard or mouse used for data entry into a computer.The previous studies dealing with different aspects of expression recognition are, at first, reviewed. Next, the scope of the present thesis, its layout and contributions are outlined. Discussion on OCR of …


Design Of Iteration On Hash Functions And Its Cryptanalysis., Mridul Nandi Dr. May 2006

Design Of Iteration On Hash Functions And Its Cryptanalysis., Mridul Nandi Dr.

Doctoral Theses

No abstract provided.


Studies On Pairing-Based And Constant Round Dynamic Group Key Agreement., Ratna Dutta Dr. Feb 2006

Studies On Pairing-Based And Constant Round Dynamic Group Key Agreement., Ratna Dutta Dr.

Doctoral Theses

This thesis describes research that I conducted during the course of my Ph.D. study at Indian Statistical Institute (ISI), Kolkata. I hope that this work is of use and will be carried on.I would like to begin by thanking my supervisor, Prof. Rana Barua for his support and endless patience. He has provided me background in Cryptography, Combinatorics and Theory of Automata during the period 2000-2002 of my course work of M.Tech in Computer Science at Indian Statistical Institute. I really appreciate his extraordinary patience in reading my numerous inferior drafts, for listening and analyzing all my ideas, forcing me …


Quantum Stochastic Dilation Of A Class Of Quantum Dynamical Semigroups And Quantum Random Walks., Lingaraj Sahu Dr. Feb 2006

Quantum Stochastic Dilation Of A Class Of Quantum Dynamical Semigroups And Quantum Random Walks., Lingaraj Sahu Dr.

Doctoral Theses

No abstract provided.


Some New Methodologies For Pattern Recognition Aided By Self-Organizing Maps., Arijit Laha Dr. Feb 2006

Some New Methodologies For Pattern Recognition Aided By Self-Organizing Maps., Arijit Laha Dr.

Doctoral Theses

In this thesis we develop several techniques for performing different pattern recognition tasks. In particular, the pattern recognition tasks considered here are classification and vector quantization. We propose several methods for designing classifiers and address various issues involved in the task. For vector quantization, we develop a method for image compression with superior psychovisual reproduction quality. We also propose a method for fast codebook search in a vector quantizer. We exploit different properties of Self-organizing Map (SOM) network for developing these methods. Along with SOM, we also use fuzzy sets theory and Dempster-Shafer theory of evidence to design classi- fiers …