Titlebook: Indefinite Linear Algebra and Applications; Israel Gohberg,Peter Lancaster,Leiba Rodman Textbook 2005 Birkhäuser Basel 2005 Inner product

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Differential Equations of First Order, is to discuss those systems with symmetries in which an indefinite inner product plays a role, so that these applications serve to fix some of the theory already developed. Also, the scene will be set for a more substantial treatment of higher order systems in Chapter 13. The reader is referred to

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Differential and Difference Equations of Higher Order,The notions and results developed in Chapter 12 for matrix polynomials are used in this chapter to study systems of differential and difference equations of higher order with constant coefficients.

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Functions of ,-Selfadjoint Matrices,and .-unitary matrices. In this chapter the objective is to present a more systematic investigation of functions of .-selfadjoint matrices. In particular, we are to investigate how the sign characteristic is transformed.

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Israel Gohberg,Peter Lancaster,Leiba RodmanThorough treatment of indefinite inner product spaces.Combining modern linear algebra with systems theory.Suitable as reference work for scientists and engineers

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Orthogonalization and Orthogonal Polynomials,e classical case based on a definite inner product..The chapter consists of four sections. The first contains general results concerning orthogonal (regular) systems. The second contains discussion of a fundamental theorem of Szegő for the case of a definite inner product, as well as a more general