- Inverse eigenvalues theorem
In
numerical analysis andlinear algebra , the Inverse eigenvalues theorem states that given A nonsingular, |lambda|>0 is aneigenvalue of if and only if is an eigenvalue of .
Wikimedia Foundation. 2010.
In
Wikimedia Foundation. 2010.
Inverse iteration — In numerical analysis, inverse iteration is an iterative eigenvalue algorithm. Based on the power method, this method improves on its performance. Whereas the power method always converges to the largest eigenvalue, inverse iteration also enables … Wikipedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Inverse problem — An inverse problem is a general framework that is used to convert observed measurements into information about a physical object or system that we are interested in. For example, if we have measurements of the Earth s gravity field, then we might … Wikipedia
Gershgorin circle theorem — In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Belarusian mathematician Semyon Aranovich Gershgorin in 1931. The spelling of S. A. Gershgorin s name has been… … Wikipedia
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Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… … Wikipedia
Differential calculus — The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point. Topics in Calculus … Wikipedia
Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… … Wikipedia
Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… … Wikipedia
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