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Eigenvalues and Singular Values

Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

So far, our physical applications of linear algebra have concentrated on statics: unchanging equilibrium configurations of mass–spring chains, circuits, and structures, all modeled by linear systems of algebraic equations. It is now time to set the universe in motion. In general, a (continuous) dynamical system refers to the (differential) equations governing the time-varying motion of a physical system, be it mechanical, electrical, chemical, fluid, thermodynamical, biological, financial, . . . . Our immediate goal is to solve the simplest class of continuous dynamical models, which are first order autonomous linear systems of ordinary differential equations.

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  • DOI: 10.1007/978-3-319-91041-3_8
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Olver, P.J., Shakiban, C. (2018). Eigenvalues and Singular Values. In: Applied Linear Algebra. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-91041-3_8

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