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15A42 Inequalities involving eigenvalues and eigenvectors (31 articles)

• Zeng, Wenlong; Liu, Jianzhou: A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 3, pp. 663-679
• Yamamoto, Yusaku: On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix. (English). Applications of Mathematics, vol. 62 (2017), issue 4, pp. 319-331
• Merikoski, Jorma K.: Lower bounds for the largest eigenvalue of the gcd matrix on $\{1,2,\dots ,n\}$. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 1027-1038
• Cheng, Guanghui: New bounds for the minimum eigenvalue of the Fan product of two $M$-matrices. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 63-68
• Milovanović, Igor; Milovanović, Emina: Remark on inequalities for the Laplacian spread of graphs. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 285-287
• Castelli, Roberto; Lessard, Jean-Philippe: A method to rigorously enclose eigenpairs of complex interval matrices. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 21-32
• Liu, BoLian; Chen, Zhibo; Liu, Muhuo: On graphs with the largest Laplacian index. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 949-960
• Zhang, Xiao-Dong; Luo, Rong: Upper bound for the non-maximal eigenvalues of irreducible nonnegative matrices. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 537-544
• Bo, Zhou: Bounds for the spectral radius of nonnegative matrices. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 179-183
• Kirkland, Stephen J.; Neumann, Michael; Shader, Bryan L.: Bounds on the subdominant eigenvalue involving group inverses with applications to graphs. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 1-20
• Kirkland, Stephen J.; Neumann, Michael; Shader, Bryan L.: On a bound on algebraic connectivity: the case of equality. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 1, pp. 65-76
• Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan: Eigenvalue frequency and consistent sign pattern matrices. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 3, pp. 461-479
• Veselý, Petr: Majorants of matrix norms and spectrum localization. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 1, pp. 141-161
• Merikoski, Jorma Kaarlo; Virtanen, Ari: On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 2, pp. 193-198
• Stavinoha, Pavel: Convergence of $L_p$-norms of a matrix. (English). Aplikace matematiky, vol. 30 (1985), issue 5, pp. 351-360
• Goerisch, Friedrich; Albrecht, Julius: The convergence of a new method for calculating lower bounds to eigenvalues. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [303]-308
• Vitória, José: Latent roots of lambda-matrices, Kronecker sums and matricial norms. (English). Aplikace matematiky, vol. 25 (1980), issue 6, pp. 395-399
• Dostál, Zdeněk: A note on estimate of the spectral radius of symmetric matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 2, pp. 333-340
• Marques de Sá, Eduardo: On the diagonals of integral matrices. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 2, pp. 207-212
• Dostál, Zdeněk: Negative powers and the spectrum of matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 19-27
• Luong Dinh Tin: The comparison of spectrum of normalizable matrices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 19 (1978), issue 2, pp. 69-74
• Young, N. J.: Norms of certain rational functions of a matrix and Schur's criterion for polynomials. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 4, pp. 673-688
• Young, N. J.: Norms of matrix powers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 415-430
• Dostál, Zdeněk: Polynomials of the eigenvalues and powers of matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 459-469
• Rhodius, Adolf: Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen. (German) [An estimate of eigenvalues of an integral operators with stochastic kerns]. Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 1, pp. 183-193
• Fiedler, Miroslav: A note on nonnegative matrices. (English). Mathematica Slovaca, vol. 27 (1977), issue 1, pp. 33-36
• Pták, Vlastimil: The spectral radii of an operator and its modulus. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 273-279
• Fiedler, Miroslav: A Minimaximin Formula and its Application to Doubly Stochastic Matrices. (English). Matematický časopis, vol. 25 (1975), issue 2, pp. 139-144
• Fiedler, Miroslav; Pták, Vlastimil: A quantitative extension of the Perron-Frobenius theorem for doubly stochastic matrices. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 3, pp. 339-353
• Fiedler, Miroslav: Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices. (English). Czechoslovak Mathematical Journal, vol. 24 (1974), issue 3, pp. 392-402
• Fiedler, M.: Some results on eigenvalues of nonnegative matrices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 25-29