Promotion Of The Nature Of The Generalized Unitary Matrix And The Generalized Hermite Matrix

This thesis focuses on two kinds of important special matrixes: generalized unitary matrix and generalized Hermite matrix .Study on unitary matrix and Hermite matrix have been received fruitful achievements, with more and more need of application and deep rearching ,various kinds of populurization of unitary matrix and Hermite matrix have been produced . Such as the generalized unitary matrix and the generalized Hermite matrix ,which have been studied more and more in recent years. They are very useful in Information Theory ,Linear System Theory, Business Mathematics, Combinatoral Mathematics, Pungent Geometry, Control Theory and so on. This thesis focuses on studiing the properties of generalized unitary matrix and generalized Hermite matrix.The arrangement of the thesis is shown as following:Chapter 1 mainly introduce the basic definitions of unitary matrix, Hermite matrix, generalized unitary matrix, generalized Hermite matrix and their basic properties.Chapter 2 the generalized unitary matrix'properties and the generalized orthogonal matrix'properties.Chapter 3 the generalized Hermite matrix'properties and the generalized oblique matrix'properties.Chapter 4 the k ? generalized Hermite matrix and thek ? generalized unitary matrix'properties.