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Gershgorin circle theorem information


In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician Semyon Aronovich Gershgorin in 1931. Gershgorin's name has been transliterated in several different ways, including Geršgorin, Gerschgorin, Gershgorin, Hershhorn, and Hirschhorn.

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Gershgorin circle theorem

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In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician...

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theorem Gershgorin circle theorem Clifford's circle theorems Descartes' theorem also known as 'kissing circles' or 'Soddy circles' theorem List of circle topics...

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Geometrical properties of polynomial roots

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more widely used than Lagrange's. Both bounds result from the Gershgorin circle theorem applied to the companion matrix of the polynomial and its transpose...

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Semyon Aranovich Gershgorin

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the same year. His contributions include the Gershgorin circle theorem. The spelling of S. A. Gershgorin's name (Семён Аронович Гершгорин) has been transliterated...

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List of circle topics

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incircles theorem Five circles theorem Gauss circle problem Gershgorin circle theorem Geometrography Goat grazing problem Hadamard three-circle theorem Hardy–Littlewood...

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Diagonally dominant matrix

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following results can be proved trivially from Gershgorin's circle theorem. Gershgorin's circle theorem itself has a very short proof. A strictly diagonally...

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List of theorems

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Gershgorin circle theorem (matrix theory) Gibbard–Satterthwaite theorem (voting methods) Girsanov's theorem (stochastic processes) Glaisher's theorem...

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Stochastic matrix

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that the spectral radius of any stochastic matrix is one. By the Gershgorin circle theorem, all of the eigenvalues of a stochastic matrix have absolute values...

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QR algorithm

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impractical to require exact zeros,[citation needed] but the Gershgorin circle theorem provides a bound on the error. In this crude form the iterations...

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Hollow matrix

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{\displaystyle \langle e\rangle =\{\lambda e:\lambda \in F\}.} The Gershgorin circle theorem shows that the moduli of the eigenvalues of a hollow matrix are...

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Validated numerics

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wikibooks:Numerical calculations and rigorous mathematics Kantorovich theorem Gershgorin circle theorem Ulrich W. Kulisch Tucker, Warwick. (1999). "The Lorenz attractor...

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List of Russian mathematicians

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Mathematics winner Semyon Aranovich Gershgorin, of Gerschgorin circle theorem fame Sergei Godunov, developed Godunov's theorem and Godunov's scheme in differential...

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Emilie Virginia Haynsworth

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determinants of diagonally dominant matrices, and variants of the Gershgorin circle theorem for bounding the locations of the eigenvalues of matrices. Her...

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Joel Lee Brenner

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A. Gershgorin described geometric bounds on the eigenvectors in terms of the matrix elements. This result known as the Gershgorin circle theorem has...

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List of Jewish mathematicians

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Steele Prize (2005) Alexander Gelfond (1906–1968), number theory Semyon Gershgorin (1901–1933), mathematician Gersonides (1288–1344), mathematician Murray...

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