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Inverse Problems in the Theory of Small Oscillations.


Inverse Problems in the Theory of Small Oscillations

Vladimir Marchenko and Victor Slavin

American Mathematical Society


158 pages



Translations of Mathematical Monographs; Volume 247


Marchenko and Slavin explore inverse problems in the theory of small oscillations of systems with a finite number of degrees of freedom. Solving such an inverse problem requires finding the potential energy of the system using data obtained from observations of the oscillations in it, they say, and because the oscillations are small, the potential energy is given by a positive definite quadratic form, the matrix of which is called the matrix of potential energy. The problem, therefore, is to find a matrix belonging to the quite wide set of all positive defined matrices. (Ringgold, Inc., Portland, OR)

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Date:Jan 1, 2019
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