Applied Linear Algebra

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Prentice-Hall, 1988 - Mathematics - 521 pages
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Contains important modern applications such as signal processing and Karmarkar's approach to linear programming. Uses Gauss reduction and 'Gauss-reduced form' as the fundamental theoretical and computational tool. Includes examples and problems using modern software for matrix computations, and describes properties and sources of software for real applied problems. Stresses both the theoretical and practical importance of tools such as the singular-value decomposition and generalized (pseudo) inverses, the QR decomposition, Householder transformations/matrices, and orthogonal projections. Features 1,100 exercises, including optional computer examples and problems.

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Contents

MATRIX ALGEBRA
1
SOME SIMPLE APPLICATIONS AND QUESTIONS
42
SOLVING EQUATIONS AND FINDING INVERSES METHODS
82
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