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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In mathematics, the Gershgorincircletheorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician...
theorem Gershgorincircletheorem Clifford's circletheorems Descartes' theorem also known as 'kissing circles' or 'Soddy circles' theorem List of circle topics...
more widely used than Lagrange's. Both bounds result from the Gershgorincircletheorem applied to the companion matrix of the polynomial and its transpose...
the same year. His contributions include the Gershgorincircletheorem. The spelling of S. A. Gershgorin's name (Семён Аронович Гершгорин) has been transliterated...
incircles theorem Five circlestheorem Gauss circle problem Gershgorincircletheorem Geometrography Goat grazing problem Hadamard three-circletheorem Hardy–Littlewood...
following results can be proved trivially from Gershgorin'scircletheorem. Gershgorin'scircletheorem itself has a very short proof. A strictly diagonally...
that the spectral radius of any stochastic matrix is one. By the Gershgorincircletheorem, all of the eigenvalues of a stochastic matrix have absolute values...
impractical to require exact zeros,[citation needed] but the Gershgorincircletheorem provides a bound on the error. In this crude form the iterations...
{\displaystyle \langle e\rangle =\{\lambda e:\lambda \in F\}.} The Gershgorincircletheorem shows that the moduli of the eigenvalues of a hollow matrix are...
Mathematics winner Semyon Aranovich Gershgorin, of Gerschgorin circletheorem fame Sergei Godunov, developed Godunov's theorem and Godunov's scheme in differential...
determinants of diagonally dominant matrices, and variants of the Gershgorincircletheorem for bounding the locations of the eigenvalues of matrices. Her...