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A study of quadratic optimization problems

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Optimization is an essential part of our daily life. Throughout human history, man has always strived to master his physical environment by making the best use of the available resources. Maximizing the capital gain in an investment, maximizing the profit in running a business, and finding a shortest path to a destination on a journey are instances of general optimization activities. In everyday life, we come across several problems, which we solve merely with our wisdom and experience. Optimization theory is one of the liveliest and most exciting branches of operations research and is summed up in the words of the great mathematician L. Euler who once remarked that nothing takes place in the world whose meaning is not that of some maximum or minimum. While taking decisions on any optimization problem, we always aim at reaching a solution, which is the best under its circumstances.
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