Bell, H. E. "Gerschgorin's Theorem and the Zeros of Polynomials." Amer. Math. Monthly72, 292-295, 1965.Brualdi, R. A. and Mellendorf, S. "Regions in the Complex Plane Containing the Eigenvalues of a Matrix." Amer. Math. Monthly101, 975-985, 1994.Feingold, D. G. and Varga, R. S. "Block Diagonally Dominant Matrices and Generalizations of the Gerschgorin Circle Theorem." Pacific J. Math.12, 1241-1250, 1962.Gerschgorin, S. "Über die Abgrenzung der Eigenwerte einer Matrix." Izv. Akad. Nauk. USSR Otd. Fiz.-Mat. Nauk7, 749-754, 1931.Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1073-1074, 2000.Piziak, R. and Turner, D. "Exploring Gerschgorin Circles and Cassini Ovals." Mathematica Educ. and Res.3, 13-21, 1994.Scott, D. S. "On the Accuracy of the Gerschgorin Circle Theorem for Bounding the Spread of a Real Symmetric Matrix." Lin. Algebra Appl.65, 147-155, 1985.Taussky-Todd, O. "A Recurring Theorem on Determinants." Amer. Math. Monthly56, 672-676, 1949.Varga, R. S. Geršgorin and His Circles. Berlin: Springer-Verlag, 2004.
矩陣 
，定義
的每個特徵值都位於至少一個圓盤中
是一個整數，其中 
，並設 
是第 
列中 
個最大非對角元素的量級之和。那麼 
的每個特徵值要麼位於以下圓盤之一中
是 
的任何子集，使得 
(Brualdi and Mellendorf 1994)。