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15A18 Eigenvalues, singular values, and eigenvectors (92 articles)

• Ma, Yuzheng; Shao, Yanling: Some properties of generalized distance eigenvalues of graphs. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 1, pp. 1-15
• Wang, Yinghua; Song, Xinnian; Gao, Lei: A new inclusion interval for the real eigenvalues of real matrices. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 979-992
• Ganie, Hilal A.; Ul Shaban, Rezwan; Rather, Bilal A.; Pirzada, Shariefuddin: On distance Laplacian energy in terms of graph invariants. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 2, pp. 335-353
• Milovanović, Emina; Bozkurt Altindağ, Serife B.; Matejić, Marjan; Milovanović, Igor: On the signless Laplacian and normalized signless Laplacian spreads of graphs. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 2, pp. 499-511
• Janovská, Drahoslava; Opfer, Gerhard: A survey of some recent results on Clifford algebras in $\mathbb {R}^4$. (English). Applications of Mathematics, vol. 68 (2023), issue 5, pp. 571-592
• Milovanović, Emina; Bozkurt Altındağ, Şerife Burcu; Matejić, Marjan; Milovanović, Igor: Inequalities for real number sequences with applications in spectral graph theory. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 3, pp. 783-799
• 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
• Gazda, Matej; Plavka, Ján: Controllable and tolerable generalized eigenvectors of interval max-plus matrices. (English). Kybernetika, vol. 57 (2021), issue 6, pp. 922-938
• Zhao, Yanbin; Hu, Guang-Da: Delay-dependent stability of high-order neutral systems. (English). Kybernetika, vol. 57 (2021), issue 5, pp. 737-749
• Kim, Sooyeong; Kirkland, Steve: Fiedler vectors with unbalanced sign patterns. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1071-1098
• Myšková, Helena; Plavka, Ján: Strong $\mathbf {X}$-robustness of interval max-min matrices. (English). Kybernetika, vol. 57 (2021), issue 4, pp. 594-612
• S. Muni, Vijayakumar; K. George, Raju: Controllability of linear impulsive systems – an eigenvalue approach. (English). Kybernetika, vol. 56 (2020), issue 4, pp. 727-752
• Liu, Muhuo; Yuan, Yuan; Chandra Das, Kinkar: The fan graph is determined by its signless Laplacian spectrum. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 1, pp. 21-31
• Nishida, Yuki; Watanabe, Sennosuke; Watanabe, Yoshihide: On the vectors associated with the roots of max-plus characteristic polynomials. (English). Applications of Mathematics, vol. 65 (2020), issue 6, pp. 785-805
• Rocha, Israel: Partial sum of eigenvalues of random graphs. (English). Applications of Mathematics, vol. 65 (2020), issue 5, pp. 609-618
• Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana: Solvability classes for core problems in matrix total least squares minimization. (English). Applications of Mathematics, vol. 64 (2019), issue 2, pp. 103-128
• Plavka, Ján; Berežný, Štefan: {\bf X}-simplicity of interval max-min matrices. (English). Kybernetika, vol. 54 (2018), issue 3, pp. 413-426
• Chen, Xiaodan; Hao, Guoliang; Jin, Dequan; Li, Jingjian: Note on a conjecture for the sum of signless Laplacian eigenvalues. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 3, pp. 601-610
• Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana: Filter factors of truncated TLS regularization with multiple observations. (English). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 105-120
• Chen, Hongjia; Imakura, Akira; Sakurai, Tetsuya: Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem. (English). Applications of Mathematics, vol. 62 (2017), issue 4, pp. 357-375
• 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
• Plavka, Ján; Sergeev, Sergeĭ: Characterizing matrices with ${\bf {X}}$-simple image eigenspace in max-min semiring. (English). Kybernetika, vol. 52 (2016), issue 4, pp. 497-513
• Ali, Didar A.; Gauci, John Baptist; Sciriha, Irene; Sharaf, Khidir R.: Coalescing Fiedler and core vertices. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 971-985
• Cioabă, Sebastian M.; Gu, Xiaofeng: Connectivity, toughness, spanning trees of bounded degree, and the spectrum of regular graphs. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 913-924
• Katulska, Krystyna; Smaga, Łukasz: D-optimal and highly D-efficient designs with non-negatively correlated observations. (English). Kybernetika, vol. 52 (2016), issue 4, pp. 575-588
• Johnson, Charles R.; Marijuán, Carlos; Pisonero, Miriam; Yeh, Michael: Exponential polynomial inequalities and monomial sum inequalities in $\rm p$-Newton sequences. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 793-819
• Fallat, Shaun; Soltani, Abolghasem: Line graphs: their maximum nullities and zero forcing numbers. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 743-755
• Fasino, Dario; Tudisco, Francesco: Localization of dominant eigenpairs and planted communities by means of Frobenius inner products. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 881-893
• Shao, Yanling; Gao, Yubin; Gao, Wei: $\mathcal {D}_{n,r}$ is not potentially nilpotent for $n \geq 4r-2$. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 671-679
• Mei, Yinzhen; Gao, Yubin; Shao, Yanling; Wang, Peng: A new family of spectrally arbitrary ray patterns. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 4, pp. 1049-1058
• Du, Zhibin; da Fonseca, Carlos M.: The real symmetric matrices of odd order with a P-set of maximum size. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 1007-1026
• Fischer, Cyril; Náprstek, Jiří: Remarks on inverse of matrix polynomials. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 24-29
• You, Lihua; Shu, Yujie; Zhang, Xiao-Dong: A sharp upper bound for the spectral radius of a nonnegative matrix and applications. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 701-715
• Kirkland, Steve; Rocha, Israel; Trevisan, Vilmar: Algebraic connectivity of $k$-connected graphs. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 219-236
• Milovanović, Igor Ž.; Milovanović, Emina I.; Glogić, Edin: On Laplacian eigenvalues of connected graphs. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 529-535
• Chen, Xiaodan; Hou, Yaoping: On the bounds of Laplacian eigenvalues of $k$-connected graphs. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 3, pp. 701-712
• 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
• Wang, Guoping; Guo, Guangquan; Min, Li: On the signless Laplacian spectral characterization of the line graphs of $T$-shape trees. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 2, pp. 311-325
• 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
• Hrůzová, Klára; Hron, Karel; Rypka, Miroslav; Fišerová, Eva: Covariance Structure of Principal Components for Three-Part Compositional Data. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 2, pp. 61-69
• Eliaš, Ján; Zítko, Jan: Approximate polynomial GCD. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 63-68
• Tian, Gui-Xian; Huang, Ting-Zhu: Bounds for the (Laplacian) spectral radius of graphs with parameter $\alpha $. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 567-580
• Hu, Guang-Da; Mitsui, Taketomo: Bounds of the matrix eigenvalues and its exponential by Lyapunov equation. (English). Kybernetika, vol. 48 (2012), issue 5, pp. 865-878
• Zítko, Jan; Eliaš, Ján: Calculation of the greatest common divisor of perturbed polynomials. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 215-222
• You, Zhifu; Liu, BoLian: The Laplacian spread of graphs. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 155-168
• Liu, Muhuo: Some graphs determined by their (signless) Laplacian spectra. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 4, pp. 1117-1134
• Swart, Jan M.: Intertwining of birth-and-death processes. (English). Kybernetika, vol. 47 (2011), issue 1, pp. 1-14
• Liu, BoLian; Chen, Siyuan: Algebraic conditions for $t$-tough graphs. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 4, pp. 1079-1089
• Shi, Wei; Kang, Liying; Wu, Suichao: Bounds on Laplacian eigenvalues related to total and signed domination of graphs. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 2, pp. 315-325
• Gavalec, Martin; Tomášková, Hana: Eigenspace of a circulant max–min matrix. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 397-404
• Gavalec, Martin; Plavka, Ján: Monotone interval eigenproblem in max–min algebra. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 387-396
• Kim, In-Jae; Waters, Charles: Symmetric sign patterns with maximal inertias. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 101-104
• Shao, Yanling; Gao, Yubin: Exponents of two-colored digraphs. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 655-685
• Li, Honghai; Li, Jiongsheng: On potentially nilpotent double star sign patterns. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 489-501
• Ball, Richard N.; Hager, Anthony W.: Monomorphisms in spaces with Lindelöf filters. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 281-317
• Fan, Yi-Zheng: On eigenvectors of mixed graphs with exactly one nonsingular cycle. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1215-1222
• Tan, Yi-jia: Indecomposable matrices over a distributive lattice. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 299-316
• Fonseca, C. M. da: On the inertia sets of some symmetric sign patterns. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 875-883
• Shao, Yanling; Sun, Liang; Gao, Yubin: $\pm$ sign pattern matrices that allow orthogonality. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 969-979
• Impram, Serkan T.; Johnson, Russell; Pavani, Raffaella: The $D$-stability problem for $4\times 4$ real matrices. (English). Archivum Mathematicum, vol. 41 (2005), issue 4, pp. 439-450
• Skrzyński, Marcin: On a singular set for the restriction of the characteristic map to a linear subspace of $\Cal M_n$. (English). Mathematica Slovaca, vol. 54 (2004), issue 3, pp. 229-236
• Gao, Yubin; Shao, Yanling: The inertia set of nonnegative symmetric sign pattern with zero diagonal. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 925-934
• Skrzyński, Marcin: Irreducible algebraic sets of matrices with dominant restriction of the characteristic map. (English). Mathematica Bohemica, vol. 128 (2003), issue 1, pp. 91-101
• Koliha, J. J.: Block diagonalization. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 237-246
• Bo, Zhou: Bounds for the spectral radius of nonnegative matrices. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 179-183
• Risteski, Ice B.: Reduction of the modified Poincaré differential equation to Birkhoff matrix form. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 103-113
• Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan: Eigenvalue distribution of certain ray patterns. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 749-762
• Kratz, Werner: Sturm-Liouville difference equations and banded matrices. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 499-505
• 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
• Havlicek, Hans: On the matrices of central linear mappings. (English). Mathematica Bohemica, vol. 121 (1996), issue 2, pp. 151-156
• Bečvář, Jindřich: Weyrova teorie charakteristických čísel. (Czech) [Weyr's theory of characteristic numbers]. In: Bečvář, Jindřich (editor): Eduard Weyr (1852-1903). (Czech). Praha: Prometheus, 1995. 80-7196-024-1, pp. 121-128
• Rohn, Jiří: Checking positive definiteness or stability of symmetric interval matrices is NP-hard. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 795-797
• 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
• Fiedler, Miroslav; Markham, Thomas L.: On a theorem of Everitt, Thompson, and de Pillis. (English). Mathematica Slovaca, vol. 44 (1994), issue 4, pp. 441-444
• Cliffe, K. A.; Garratt, T. J.; Spence, A.: A modified Cayley transform for the discretized Navier-Stokes equations. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 281-288
• 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
• Lešanovský, Antonín: Coefficients of ergodicity generated by non-symmetrical vector norms. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 284-294
• Fiedler, Miroslav: A deflation formula for tridiagonal matrices. (English). Aplikace matematiky, vol. 25 (1980), issue 5, pp. 348-357
• 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
• 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
• Fiedler, Miroslav: A note on nonnegative matrices. (English). Mathematica Slovaca, vol. 27 (1977), issue 1, pp. 33-36
• Zezula, R.; Roček, J.; Miasnikov, A.: On relations between right and left eigenvectors of nonselfadjoint matrix pencils. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 18 (1977), issue 1, pp. 37-45
• 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: Eigenvectors of acyclic matrices. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 4, pp. 607-618
• Wimmer, Harald K.: Spektralradius und Spektralnorm. (German) [Spectral radius and spectral norm]. Czechoslovak Mathematical Journal, vol. 24 (1974), issue 3, pp. 501-502
• Zítko, Jan: Kellogg's iterations for general complex matrix. (English). Aplikace matematiky, vol. 19 (1974), issue 5, pp. 342-365
• Wilkinson, J. H.: Note on inverse iteration and III-conditioned eigensystems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 173-177
• Kopáček, Jiří: Correction to my paper: “On pairs of matrices with property $L$”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 2, pp. 409
• Šisler, Miroslav: Über ein Iterationsverfahren für zyklische Matrizen. (German) [On one iteration method for cyclic matrices]. Aplikace matematiky, vol. 17 (1972), issue 3, pp. 225-233
• Mařík, Jan; Pták, Vlastimil Norms, spectra and combinatorial properties of matrices (English). Czechoslovak Math. J. 10(85) (2) (1960), 181–196
• Mařík, Jan; Pták, Vlastimil: Norms, spectra and combinatorial properties of matrices. (English). Czechoslovak Mathematical Journal, vol. 10 (1960), issue 2, pp. 181-196