Arrieta, Luis E.; Millano, Alfredo D.; Soto, Ricardo L. On spectra realizable and diagonalizably realizable. (English) Zbl 07312066 Linear Algebra Appl. 612, 273-288 (2021). MSC: 15A29 15A18 15A20 PDF BibTeX XML Cite \textit{L. E. Arrieta} et al., Linear Algebra Appl. 612, 273--288 (2021; Zbl 07312066) Full Text: DOI
Kolegov, N. A.; Markova, O. V. Commutativity of matrices up to a matrix factor. (English. Russian original) Zbl 1448.15019 J. Math. Sci., New York 249, No. 2, 209-220 (2020); translation from Zap. Nauchn. Semin. POMI 482, 151-167 (2019). MSC: 15A27 15A20 15A21 PDF BibTeX XML Cite \textit{N. A. Kolegov} and \textit{O. V. Markova}, J. Math. Sci., New York 249, No. 2, 209--220 (2020; Zbl 1448.15019); translation from Zap. Nauchn. Semin. POMI 482, 151--167 (2019) Full Text: DOI
Shen, Dongmei; Wei, Musheng All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues. (English) Zbl 1425.15013 Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020). MSC: 15A24 16T25 PDF BibTeX XML Cite \textit{D. Shen} and \textit{M. Wei}, Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020; Zbl 1425.15013) Full Text: DOI
Saiago, Carlos M. Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments. (English) Zbl 1433.15014 Spec. Matrices 7, 316-326 (2019). MSC: 15A18 05C05 05C50 PDF BibTeX XML Cite \textit{C. M. Saiago}, Spec. Matrices 7, 316--326 (2019; Zbl 1433.15014) Full Text: DOI
Chen, Dongmei; Chen, Zhibing; Yong, Xuerong Explicit solutions of the Yang-Baxter-like matrix equation for a diagonalizable matrix with spectrum contained in \(\{1, \alpha , 0\}\). (English) Zbl 1428.15013 Appl. Math. Comput. 348, 523-530 (2019). MSC: 15A24 15A18 15A30 15A27 PDF BibTeX XML Cite \textit{D. Chen} et al., Appl. Math. Comput. 348, 523--530 (2019; Zbl 1428.15013) Full Text: DOI
Huang, Qianglian; Adam, Mansour Saeed Ibrahim; Ding, Jiu; Zhu, Lanping All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices. (English) Zbl 1417.15016 Oper. Matrices 13, No. 1, 187-195 (2019). MSC: 15A24 15A18 16T25 PDF BibTeX XML Cite \textit{Q. Huang} et al., Oper. Matrices 13, No. 1, 187--195 (2019; Zbl 1417.15016) Full Text: DOI
Xu, Wei-Wei; Ma, Li-Juan; Zhu, Lei; Liu, Hao On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs. (English) Zbl 1404.65026 Linear Algebra Appl. 562, 15-43 (2019). MSC: 65F15 PDF BibTeX XML Cite \textit{W.-W. Xu} et al., Linear Algebra Appl. 562, 15--43 (2019; Zbl 1404.65026) Full Text: DOI
Kharaghani, Hadi; Suda, Sho Balancedly splittable Hadamard matrices. (English) Zbl 1400.05040 Discrete Math. 342, No. 2, 546-561 (2019). MSC: 05B20 05E30 PDF BibTeX XML Cite \textit{H. Kharaghani} and \textit{S. Suda}, Discrete Math. 342, No. 2, 546--561 (2019; Zbl 1400.05040) Full Text: DOI arXiv
Pachev, Urusbi Mukhamedovich; Isakova, Mariana Malilovna On cyclic subgroups of a full linear group of third degree over a field of zero characteristic. (Russian. English summary) Zbl 07260471 Vladikavkaz. Mat. Zh. 20, No. 2, 62-68 (2018). MSC: 20H20 15Axx PDF BibTeX XML Cite \textit{U. M. Pachev} and \textit{M. M. Isakova}, Vladikavkaz. Mat. Zh. 20, No. 2, 62--68 (2018; Zbl 07260471) Full Text: DOI MNR
Kohaupt, Ludwig Generalized Rayleigh-quotient formulas for the real parts, imaginary parts, and moduli of the eigenvalues of diagonalizable matrices. (English) Zbl 1419.15008 J. Adv. Math. 14, No. 2, 7702-7728 (2018). MSC: 15A18 15A60 PDF BibTeX XML Cite \textit{L. Kohaupt}, J. Adv. Math. 14, No. 2, 7702--7728 (2018; Zbl 1419.15008) Full Text: DOI
Patra, Arnab; Srivastava, P. D. Relative perturbation bounds for matrix eigenvalues and singular values. (English) Zbl 1402.65026 Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 138, 9 p. (2018). MSC: 65F15 15A42 15A18 PDF BibTeX XML Cite \textit{A. Patra} and \textit{P. D. Srivastava}, Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 138, 9 p. (2018; Zbl 1402.65026) Full Text: DOI
Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree. (English) Zbl 1403.15006 Linear Algebra Appl. 559, 1-10 (2018). Reviewer: Dragan Stevanović (Niš) MSC: 15A18 05C05 05C50 PDF BibTeX XML Cite \textit{C. R. Johnson} et al., Linear Algebra Appl. 559, 1--10 (2018; Zbl 1403.15006) Full Text: DOI
Chen, Yanmei; Peng, Xiaofei; Li, Wen Relative perturbation bounds for eigenpairs of diagonalizable matrices. (English) Zbl 06940689 BIT 58, No. 3, 599-612 (2018). MSC: 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{Y. Chen} et al., BIT 58, No. 3, 599--612 (2018; Zbl 06940689) Full Text: DOI
Kişi, Emre; Özdemir, Halim A combinatorial method for determining the spectrum of the linear combinations of finitely many diagonalizable matrices that mutually commute. (English) Zbl 1392.15028 Math. Commun. 23, No. 1, 61-78 (2018). MSC: 15A27 15A06 PDF BibTeX XML Cite \textit{E. Kişi} and \textit{H. Özdemir}, Math. Commun. 23, No. 1, 61--78 (2018; Zbl 1392.15028) Full Text: Link
Gil’, Michael I. Operator functions and operator equations. (English) Zbl 1422.47004 Hackensack, NJ: World Scientific (ISBN 978-981-3221-26-0/hbk; 978-981-3221-28-4/ebook). xiii, 245 p. (2018). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47-02 47A56 47A62 47A30 47A60 PDF BibTeX XML Cite \textit{M. I. Gil'}, Operator functions and operator equations. Hackensack, NJ: World Scientific (2018; Zbl 1422.47004) Full Text: DOI Backlinks: MO
Mitrouli, Marilena; Roupa, Paraskevi Vector estimates for \(f(A)\mathbf b\) via extrapolation. (English) Zbl 1392.65096 ETNA, Electron. Trans. Numer. Anal. 47, 179-196 (2017). MSC: 65F15 65F30 65F60 65B05 15A18 PDF BibTeX XML Cite \textit{M. Mitrouli} and \textit{P. Roupa}, ETNA, Electron. Trans. Numer. Anal. 47, 179--196 (2017; Zbl 1392.65096) Full Text: Link
Johnston, Nathaniel; Kirkland, Steve; Plosker, Sarah; Storey, Rebecca; Zhang, Xiaohong Perfect quantum state transfer using Hadamard diagonalizable graphs. (English) Zbl 1370.05137 Linear Algebra Appl. 531, 375-398 (2017). MSC: 05C50 05C76 15A18 81P45 PDF BibTeX XML Cite \textit{N. Johnston} et al., Linear Algebra Appl. 531, 375--398 (2017; Zbl 1370.05137) Full Text: DOI
de Andrade Bezerra, Johanns A note on the product of two matrices of index one. (English) Zbl 1401.15005 Linear Multilinear Algebra 65, No. 7, 1479-1492 (2017). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15A03 15A18 15A09 PDF BibTeX XML Cite \textit{J. de Andrade Bezerra}, Linear Multilinear Algebra 65, No. 7, 1479--1492 (2017; Zbl 1401.15005) Full Text: DOI
Dong, Qixiang; Ding, Jiu Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices. (English) Zbl 1443.15010 Comput. Math. Appl. 72, No. 1, 194-201 (2016). MSC: 15A24 PDF BibTeX XML Cite \textit{Q. Dong} and \textit{J. Ding}, Comput. Math. Appl. 72, No. 1, 194--201 (2016; Zbl 1443.15010) Full Text: DOI
Li, Wen; Chen, Yanmei; Mo, Ronghua Perturbation bounds of eigenvalues and eigenspaces for diagonalizable matrices. (Chinese. English summary) Zbl 1374.65053 J. South China Norm. Univ., Nat. Sci. Ed. 48, No. 5, 82-85 (2016). MSC: 65F15 15A42 15B57 PDF BibTeX XML Cite \textit{W. Li} et al., J. South China Norm. Univ., Nat. Sci. Ed. 48, No. 5, 82--85 (2016; Zbl 1374.65053) Full Text: DOI
Iovanov, Miodrag C.; Mesyan, Zachary; Reyes, Manuel L. Infinite-dimensional diagonalization and semisimplicity. (English) Zbl 1372.16031 Isr. J. Math. 215, No. 2, 801-855 (2016). Reviewer: Mykola Khrypchenko (Florianópolis) MSC: 16S50 16W80 16K40 PDF BibTeX XML Cite \textit{M. C. Iovanov} et al., Isr. J. Math. 215, No. 2, 801--855 (2016; Zbl 1372.16031) Full Text: DOI arXiv
Neri, Ferrante Linear algebra for computational sciences and engineering. With a foreword by Alberto Grasso. (English) Zbl 1373.15002 Cham: Springer (ISBN 978-3-319-40339-7/hbk; 978-3-319-40341-0/ebook). xxii, 464 p. (2016). Reviewer: Martin Plešinger (Liberec) MSC: 15-01 00A06 15A06 15A23 65F05 65F10 15A03 15A04 15A18 65Y20 34A30 05C50 PDF BibTeX XML Cite \textit{F. Neri}, Linear algebra for computational sciences and engineering. With a foreword by Alberto Grasso. Cham: Springer (2016; Zbl 1373.15002) Full Text: DOI
Kohaupt, L. Further spectral properties of the matrix \(C^{-1}B\) with positive definite \(C\) and Hermitian \(B\) applied to wider classes of matrices \(C\) and \(B\). (English) Zbl 1353.15019 J. Appl. Math. Comput. 52, No. 1-2, 215-243 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 15A42 15B48 15B57 PDF BibTeX XML Cite \textit{L. Kohaupt}, J. Appl. Math. Comput. 52, No. 1--2, 215--243 (2016; Zbl 1353.15019) Full Text: DOI
Gumerov, Renat N.; Vidunov, S. I. Approximation by matrices with simple spectra. (English) Zbl 1359.15015 Lobachevskii J. Math. 37, No. 3, 240-243 (2016). Reviewer: Mihail Voicu (Iaşi) MSC: 15A60 47A58 15A18 15A30 PDF BibTeX XML Cite \textit{R. N. Gumerov} and \textit{S. I. Vidunov}, Lobachevskii J. Math. 37, No. 3, 240--243 (2016; Zbl 1359.15015) Full Text: DOI
Lau, Pan-Shun; Ng, Tuen-Wai; Tsing, Nam-Kiu The star-shapedness of a generalized numerical range. (English) Zbl 1346.15023 Linear Algebra Appl. 506, 308-315 (2016). MSC: 15A60 15B57 15A21 PDF BibTeX XML Cite \textit{P.-S. Lau} et al., Linear Algebra Appl. 506, 308--315 (2016; Zbl 1346.15023) Full Text: DOI arXiv
Rozendaal, Jan; Sukochev, Fedor; Tomskova, Anna Operator Lipschitz functions on Banach spaces. (English) Zbl 1372.47022 Stud. Math. 232, No. 1, 57-92 (2016). Reviewer: Sameer Chavan (Kanpur) MSC: 47A55 47A56 47B47 PDF BibTeX XML Cite \textit{J. Rozendaal} et al., Stud. Math. 232, No. 1, 57--92 (2016; Zbl 1372.47022) Full Text: DOI arXiv
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Chen, Xiaoyan Perturbation bounds for eigenvalues of diagonalizable matrices and singular values. (English) Zbl 1336.65059 J. Inequal. Appl. 2016, Paper No. 113, 11 p. (2016). MSC: 65F15 15A42 15A18 65F35 PDF BibTeX XML Cite \textit{D. Zhou} et al., J. Inequal. Appl. 2016, Paper No. 113, 11 p. (2016; Zbl 1336.65059) Full Text: DOI
de la Cruz, Ralph John; Faßbender, Heike On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation. (English) Zbl 1332.15030 Linear Algebra Appl. 496, 288-306 (2016). MSC: 15A21 15A23 PDF BibTeX XML Cite \textit{R. J. de la Cruz} and \textit{H. Faßbender}, Linear Algebra Appl. 496, 288--306 (2016; Zbl 1332.15030) Full Text: DOI
Hsia, Yong; Lin, Gang-Xuan; Sheu, Ruey-Lin A revisit to quadratic programming with one inequality quadratic constraint via matrix pencil. (English) Zbl 1327.90168 Pac. J. Optim. 10, No. 3, 461-481 (2014). MSC: 90C20 90C22 90C26 PDF BibTeX XML Cite \textit{Y. Hsia} et al., Pac. J. Optim. 10, No. 3, 461--481 (2014; Zbl 1327.90168) Full Text: Link arXiv
Wei, Yimin; Qu, Yifei Perturbation bound for the eigenvalues of a singular diagonalizable matrix. (English) Zbl 1295.15012 East Asian J. Appl. Math. 4, No. 1, 88-94 (2014). Reviewer: John D. Dixon (Ottawa) MSC: 15A42 15A09 15A21 PDF BibTeX XML Cite \textit{Y. Wei} and \textit{Y. Qu}, East Asian J. Appl. Math. 4, No. 1, 88--94 (2014; Zbl 1295.15012) Full Text: DOI
Niemiec, Piotr Functional calculus for diagonalizable matrices. (English) Zbl 1303.47021 Linear Multilinear Algebra 62, No. 3, 297-321 (2014). Reviewer: Janko Bračič (Ljubljana) MSC: 47A60 15A18 PDF BibTeX XML Cite \textit{P. Niemiec}, Linear Multilinear Algebra 62, No. 3, 297--321 (2014; Zbl 1303.47021) Full Text: DOI arXiv
de Saint Julien, Arnaud Functional equations and determinants. (Équation fonctionnelle et déterminant.) (French) Zbl 1284.39018 Quadrature 89, 17-22 (2013). MSC: 39B05 15A15 PDF BibTeX XML Cite \textit{A. de Saint Julien}, Quadrature 89, 17--22 (2013; Zbl 1284.39018)
Akkurt, Mustafa; Akkurt, Emira; Barker, George Phillip Complemented invariant subspaces of structural matrix algebras. (English) Zbl 1283.15051 Turk. J. Math. 37, No. 6, 993-1000 (2013). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A30 03G05 47A15 06E25 PDF BibTeX XML Cite \textit{M. Akkurt} et al., Turk. J. Math. 37, No. 6, 993--1000 (2013; Zbl 1283.15051) Full Text: DOI Link
Cibotarica, A.; Ding, Jiu; Kolibal, J.; Rhee, Noah H. Solutions of the Yang-Baxter matrix equation for an idempotent. (English) Zbl 1264.15013 Numer. Algebra Control Optim. 3, No. 2, 347-352 (2013). MSC: 15A18 15A24 15A27 PDF BibTeX XML Cite \textit{A. Cibotarica} et al., Numer. Algebra Control Optim. 3, No. 2, 347--352 (2013; Zbl 1264.15013) Full Text: DOI
Prokip, V. M. Diagonalizability of matrices over a principal ideal domain. (English. Russian original) Zbl 1260.15013 Ukr. Math. J. 64, No. 2, 316-323 (2012); translation from Ukr. Mat. Zh. 64, No. 2, 283-288 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 13F10 PDF BibTeX XML Cite \textit{V. M. Prokip}, Ukr. Math. J. 64, No. 2, 316--323 (2012; Zbl 1260.15013); translation from Ukr. Mat. Zh. 64, No. 2, 283--288 (2012) Full Text: DOI
Wu, Gang; Wei, Yimin Relationship between the characteristic polynomial and the spectrum of a diagonalizable matrix and those of its low-rank update. (English) Zbl 1253.65058 Linear Multilinear Algebra 60, No. 8, 967-978 (2012). Reviewer: Cyril Fischer (Praha) MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{G. Wu} and \textit{Y. Wei}, Linear Multilinear Algebra 60, No. 8, 967--978 (2012; Zbl 1253.65058) Full Text: DOI
Shi, Xinghua; Wei, Yimin A sharp version of Bauer-Fike’s theorem. (English) Zbl 1247.15017 J. Comput. Appl. Math. 236, No. 13, 3218-3227 (2012). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A42 15A09 65F20 93B55 93D05 PDF BibTeX XML Cite \textit{X. Shi} and \textit{Y. Wei}, J. Comput. Appl. Math. 236, No. 13, 3218--3227 (2012; Zbl 1247.15017) Full Text: DOI
Chen, Jianxin; Luo, Weiqi; Pang, Sulin Multiplicative relative perturbation bounds of eigenvalues for diagonalizable matrices. (English) Zbl 1248.15017 Int. J. Comput. Math. 88, No. 14, 3061-3068 (2011). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 65F10 65F15 65F35 15A60 PDF BibTeX XML Cite \textit{J. Chen} et al., Int. J. Comput. Math. 88, No. 14, 3061--3068 (2011; Zbl 1248.15017) Full Text: DOI
Fassett, Jonathon E. Eigenvalues in filled Julia sets. (English) Zbl 1228.37037 Math. Mag. 84, No. 3, 221-227 (2011). MSC: 37F50 37F10 97I80 PDF BibTeX XML Cite \textit{J. E. Fassett}, Math. Mag. 84, No. 3, 221--227 (2011; Zbl 1228.37037) Full Text: DOI
O’Meara, Kevin C.; Clark, John; Vinsonhaler, Charles I. Advanced topics in linear algebra. Weaving matrix problems through the Weyr Form. (English) Zbl 1235.15013 Oxford: Oxford University Press (ISBN 978-0-19-979373-0/hbk). xxii, 400 p. (2011). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15-02 15A30 15A27 PDF BibTeX XML Cite \textit{K. C. O'Meara} et al., Advanced topics in linear algebra. Weaving matrix problems through the Weyr Form. Oxford: Oxford University Press (2011; Zbl 1235.15013)
Otsuka, Naohisa; Nakashima, Keiichiro; Atajan, Talip Stability conditions of polytopic uncertain switched linear systems with simultaneously diagonalizable vertex matrices. (English) Zbl 1226.93109 Far East J. Dyn. Syst. 15, No. 1, 1-20 (2011). MSC: 93D09 93C05 93D20 93C30 93B60 PDF BibTeX XML Cite \textit{N. Otsuka} et al., Far East J. Dyn. Syst. 15, No. 1, 1--20 (2011; Zbl 1226.93109) Full Text: Link
Chen, Jie; Anitescu, Mihai; Saad, Yousef Computing \(f(A)b\) via least squares polynomial approximations. (English) Zbl 1234.65027 SIAM J. Sci. Comput. 33, No. 1, 195-222 (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F50 65F35 15A16 65F60 PDF BibTeX XML Cite \textit{J. Chen} et al., SIAM J. Sci. Comput. 33, No. 1, 195--222 (2011; Zbl 1234.65027) Full Text: DOI
Barik, S.; Fallat, S.; Kirkland, S. On Hadamard diagonalizable graphs. (English) Zbl 1221.05228 Linear Algebra Appl. 435, No. 8, 1885-1902 (2011). MSC: 05C50 15A18 PDF BibTeX XML Cite \textit{S. Barik} et al., Linear Algebra Appl. 435, No. 8, 1885--1902 (2011; Zbl 1221.05228) Full Text: DOI
Randé, Bernard; de Seguins Pazzis, Clément The linear preservers of real diagonalizable matrices. (English) Zbl 1226.15018 Linear Algebra Appl. 435, No. 6, 1257-1266 (2011). Reviewer: Alexander Guterman (Moskva) MSC: 15A86 15B57 12D15 PDF BibTeX XML Cite \textit{B. Randé} and \textit{C. de Seguins Pazzis}, Linear Algebra Appl. 435, No. 6, 1257--1266 (2011; Zbl 1226.15018) Full Text: DOI arXiv
Liu, Xiaoji; Benítez, Julio The spectrum of matrices depending on two idempotents. (English) Zbl 1222.15014 Appl. Math. Lett. 24, No. 10, 1640-1646 (2011). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A18 15A21 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. Benítez}, Appl. Math. Lett. 24, No. 10, 1640--1646 (2011; Zbl 1222.15014) Full Text: DOI
Vecharynski, E.; Langou, J. The cycle-convergence of restarted GMRES for normal matrices is sublinear. (English) Zbl 1210.65084 SIAM J. Sci. Comput. 32, No. 1, 186-196 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDF BibTeX XML Cite \textit{E. Vecharynski} and \textit{J. Langou}, SIAM J. Sci. Comput. 32, No. 1, 186--196 (2010; Zbl 1210.65084) Full Text: DOI
Gil, Michael I. Perturbations of functions of diagonalizable matrices. (English) Zbl 1207.15020 Electron. J. Linear Algebra 20, 303-313 (2010). MSC: 15A54 15A60 15A45 15A21 PDF BibTeX XML Cite \textit{M. I. Gil}, Electron. J. Linear Algebra 20, 303--313 (2010; Zbl 1207.15020) Full Text: DOI EMIS EuDML
Liu, Jianzhou; Zhang, Juan; Liu, Yu Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations. (English) Zbl 1187.15023 J. Inequal. Appl. 2009, Article ID 101085, 17 p. (2009). MSC: 15A45 15A15 15A24 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Inequal. Appl. 2009, Article ID 101085, 17 p. (2009; Zbl 1187.15023) Full Text: DOI EuDML
Ikramov, Kh. D. On the ranks of principal submatrices of diagonalizable matrices. (English. Russian original) Zbl 1177.15001 J. Math. Sci., New York 157, No. 5, 695-696 (2009); translation from Zap. Nauchn. Semin. POMI 359, 42-44 (2008). MSC: 15A03 15B57 PDF BibTeX XML Cite \textit{Kh. D. Ikramov}, J. Math. Sci., New York 157, No. 5, 695--696 (2009; Zbl 1177.15001); translation from Zap. Nauchn. Semin. POMI 359, 42--44 (2008) Full Text: DOI
Chen, Xiaoshan; Li, Wen A note on the Hoffman-Wielandt theorem for generalized eigenvalue problems. (English) Zbl 1181.15023 Acta Math. Appl. Sin., Engl. Ser. 25, No. 1, 167-170 (2009). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A42 15A22 15B57 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Li}, Acta Math. Appl. Sin., Engl. Ser. 25, No. 1, 167--170 (2009; Zbl 1181.15023) Full Text: DOI
Song, Seok-Zun; Durán Díaz, R.; Hernández Encinas, L.; Muñoz Masqué, J.; Queiruga Dios, A. Dimension of the intersection of a pair of orthogonal groups. (English) Zbl 1184.15007 Int. J. Comput. Math. 86, No. 10-11, 1678-1683 (2009). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A16 15A63 22E10 22E60 PDF BibTeX XML Cite \textit{S.-Z. Song} et al., Int. J. Comput. Math. 86, No. 10--11, 1678--1683 (2009; Zbl 1184.15007) Full Text: DOI
Song, Seok-Zun; Kang, Kyung-Tae; Kang, Mun-Hwan Boolean regular matrices and their strongly preservers. (English) Zbl 1167.15004 Bull. Korean Math. Soc. 46, No. 2, 373-385 (2009). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15A09 15B33 06E25 PDF BibTeX XML Cite \textit{S.-Z. Song} et al., Bull. Korean Math. Soc. 46, No. 2, 373--385 (2009; Zbl 1167.15004) Full Text: DOI
Hoareau, Dominique Nilpotent and diagonalisable, I love you, nor do I…. (Nilpotent et diagonalisable, je t’aime, moi non plus….) (French) Zbl 1229.15020 Quadrature 70, 19-30 (2008). MSC: 15A30 15A18 15A16 15B48 15A21 PDF BibTeX XML Cite \textit{D. Hoareau}, Quadrature 70, 19--30 (2008; Zbl 1229.15020) Full Text: DOI
Huang, Jingping; Chen, Jianfei The diagonalizable solution of the quadratic matrix equation \(AX^2+BX+C=0\). (Chinese. English summary) Zbl 1142.65339 Math. Pract. Theory 37, No. 9, 153-156 (2007). MSC: 65F30 65F15 15A24 PDF BibTeX XML Cite \textit{J. Huang} and \textit{J. Chen}, Math. Pract. Theory 37, No. 9, 153--156 (2007; Zbl 1142.65339)
Bueno, M. I.; Furtado, S.; Johnson, C. R. Congruence of Hermitian matrices by Hermitian matrices. (English) Zbl 1126.15011 Linear Algebra Appl. 425, No. 1, 63-76 (2007). Reviewer: Hans Havlicek (Wien) MSC: 15A21 15A24 15B57 PDF BibTeX XML Cite \textit{M. I. Bueno} et al., Linear Algebra Appl. 425, No. 1, 63--76 (2007; Zbl 1126.15011) Full Text: DOI
Cao, Liqiong; Chen, Guoliang; Gong, Yi Further discussion on nonnegative matrix having same nonnegative Moore-Penrose and group inverse. (Chinese. English summary) Zbl 1117.15301 Numer. Math., Nanjing 28, No. 2, 168-175 (2006). MSC: 15A09 15B48 PDF BibTeX XML Cite \textit{L. Cao} et al., Numer. Math., Nanjing 28, No. 2, 168--175 (2006; Zbl 1117.15301)
Wei, Yimin; Li, Xiezhang; Bu, Fanbin; Zhang, Fuzhen Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices – application of perturbation theory for simple invariant subspaces. (English) Zbl 1151.15306 Linear Algebra Appl. 419, No. 2-3, 765-771 (2006). MSC: 15A42 15A09 PDF BibTeX XML Cite \textit{Y. Wei} et al., Linear Algebra Appl. 419, No. 2--3, 765--771 (2006; Zbl 1151.15306) Full Text: DOI
Chen, Jinsong; Tan, Yijia The regular elements in the sandwich semigroup of generalized circulant Boolean matrices. (Chinese. English summary) Zbl 1107.15009 J. Fuzhou Univ., Nat. Sci. 34, No. 2, 157-161 (2006). MSC: 15A30 06E25 20M20 15A09 PDF BibTeX XML Cite \textit{J. Chen} and \textit{Y. Tan}, J. Fuzhou Univ., Nat. Sci. 34, No. 2, 157--161 (2006; Zbl 1107.15009)
Poplavskiĭ, V. B. Invertible and adjoint Boolean matrices. (Russian) Zbl 1135.06303 Chebyshevskiĭ Sb. 6, No. 1(13), 174-181 (2005). MSC: 06E25 15A09 15A15 15A30 PDF BibTeX XML Cite \textit{V. B. Poplavskiĭ}, Chebyshevskiĭ Sb. 6, No. 1(13), 174--181 (2005; Zbl 1135.06303)
Liu, Xiumei; Yang, Xinbing The solutions to the matrix equation \(X^2+AX+XB+C=0\). (Chinese. English summary) Zbl 1097.15016 J. Shaoxing Univ., Nat. Sci. 25, No. 8, 1-4 (2005). MSC: 15A24 15A21 PDF BibTeX XML Cite \textit{X. Liu} and \textit{X. Yang}, J. Shaoxing Univ., Nat. Sci. 25, No. 8, 1--4 (2005; Zbl 1097.15016)
Abu-Jeib, Iyad T. On the counteridentity matrix. (English) Zbl 1070.15005 Missouri J. Math. Sci. 17, No. 1, 26-34 (2005). Reviewer: Václav Burjan (Praha) MSC: 15A18 15B57 PDF BibTeX XML Cite \textit{I. T. Abu-Jeib}, Missouri J. Math. Sci. 17, No. 1, 26--34 (2005; Zbl 1070.15005)
Poplavskiĭ, V. B. Determinants of the powers of Boolean matrices. (Russian. English summary) Zbl 1135.06302 Chebyshevskiĭ Sb. 5, No. 3(11), 98-111 (2004). MSC: 06E25 15A15 15A30 PDF BibTeX XML Cite \textit{V. B. Poplavskiĭ}, Chebyshevskiĭ Sb. 5, No. 3(11), 98--111 (2004; Zbl 1135.06302)
Bai, Zhong Zhi On the convergence of additive and multiplicative splitting iterations for systems of linear equations. (English) Zbl 1022.65035 J. Comput. Appl. Math. 154, No. 1, 195-214 (2003). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 PDF BibTeX XML Cite \textit{Z. Z. Bai}, J. Comput. Appl. Math. 154, No. 1, 195--214 (2003; Zbl 1022.65035) Full Text: DOI
Li, Ren-Cang On perturbations of matrix pencils with real spectra, a revisit. (English) Zbl 1047.15008 Math. Comput. 72, No. 242, 715-728 (2003). Reviewer: Aurelian Gheondea (Bucureşti) MSC: 15A22 15A42 15A21 PDF BibTeX XML Cite \textit{R.-C. Li}, Math. Comput. 72, No. 242, 715--728 (2003; Zbl 1047.15008) Full Text: DOI
Pandey, J. N. Solution to some singular integro-differential equations. (English) Zbl 1082.45006 Int. J. Math. Sci. 1, No. 1-2, 33-44 (2002). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 45J05 45N05 47G20 26A30 46F12 PDF BibTeX XML Cite \textit{J. N. Pandey}, Int. J. Math. Sci. 1, No. 1--2, 33--44 (2002; Zbl 1082.45006)
Turcotte, Daniel Spectral representation of analytic diagonalizable matrix-valued functions that commute with their derivative. (English) Zbl 1004.15026 Linear Multilinear Algebra 50, No. 2, 181-183 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A60 15A54 15A18 47A56 PDF BibTeX XML Cite \textit{D. Turcotte}, Linear Multilinear Algebra 50, No. 2, 181--183 (2002; Zbl 1004.15026) Full Text: DOI Link
Watts, Valerie L. Boolean rank of Kronecker products. (English) Zbl 0993.15002 Linear Algebra Appl. 336, No. 1-3, 261-264 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A03 06E25 15B36 05B20 PDF BibTeX XML Cite \textit{V. L. Watts}, Linear Algebra Appl. 336, No. 1--3, 261--264 (2001; Zbl 0993.15002) Full Text: DOI
Delquié, Hélène; Vaillant, Jean Reduced dimension and multiple eigenvalues of a diagonizable \(4\times 4\) matrix. (Dimension réduite et valeurs propres multiples d’une matrice diagonalisable \(4\times 4\).) (French) Zbl 0961.15003 Bull. Sci. Math. 124, No. 4, 319-331 (2000). Reviewer: G.E.Wall (Sydney) MSC: 15A18 PDF BibTeX XML Cite \textit{H. Delquié} and \textit{J. Vaillant}, Bull. Sci. Math. 124, No. 4, 319--331 (2000; Zbl 0961.15003) Full Text: DOI
Botha, J. D. Sums of diagonalizable matrices. (English) Zbl 0964.15015 Linear Algebra Appl. 315, No. 1-3, 1-23 (2000). Reviewer: A.A.Bogush (Minsk) MSC: 15B33 15A21 PDF BibTeX XML Cite \textit{J. D. Botha}, Linear Algebra Appl. 315, No. 1--3, 1--23 (2000; Zbl 0964.15015) Full Text: DOI
Song, Guangtian; Guo, Xuejun Diagonalizability of idempotent matrices over noncommutative rings. (English) Zbl 0944.15010 Linear Algebra Appl. 297, No. 1-3, 1-7 (1999). Reviewer: Chen Zhijie (Shanghai) MSC: 15A21 15B33 PDF BibTeX XML Cite \textit{G. Song} and \textit{X. Guo}, Linear Algebra Appl. 297, No. 1--3, 1--7 (1999; Zbl 0944.15010) Full Text: DOI
Botha, J. D. Products of diagonalizable matrices over a field of characteristic two. (English) Zbl 0936.15008 Linear Algebra Appl. 286, No. 1-3, 37-44 (1999). Reviewer: G.Bonanno (Davis) MSC: 15A21 15B33 15A23 PDF BibTeX XML Cite \textit{J. D. Botha}, Linear Algebra Appl. 286, No. 1--3, 37--44 (1999; Zbl 0936.15008) Full Text: DOI
Bart, H.; Zuidwijk, R. A. Simultaneous reduction to triangular forms after extension with zeroes. (English) Zbl 0941.15004 Linear Algebra Appl. 281, No. 1-3, 105-135 (1998). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 15A21 PDF BibTeX XML Cite \textit{H. Bart} and \textit{R. A. Zuidwijk}, Linear Algebra Appl. 281, No. 1--3, 105--135 (1998; Zbl 0941.15004) Full Text: DOI
Brown, Kenneth S.; Diaconis, Persi Random walks and hyperplane arrangements. (English) Zbl 0938.60064 Ann. Probab. 26, No. 4, 1813-1854 (1998). MSC: 60J10 52C35 60G50 PDF BibTeX XML Cite \textit{K. S. Brown} and \textit{P. Diaconis}, Ann. Probab. 26, No. 4, 1813--1854 (1998; Zbl 0938.60064) Full Text: DOI
Shapiro, Helene Commutators which commute with one factor. (English) Zbl 0912.15011 Aschbacher, Michael (ed.) et al., Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 323-336 (1998). Reviewer: K.H.Kim (Montgomery) MSC: 15A27 PDF BibTeX XML Cite \textit{H. Shapiro}, in: Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 323--336 (1998; Zbl 0912.15011) Full Text: Link
Botha, J. D. Products of diagonalizable matrices. (English) Zbl 0897.15004 Linear Algebra Appl. 273, 65-82 (1998). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A21 15A23 PDF BibTeX XML Cite \textit{J. D. Botha}, Linear Algebra Appl. 273, 65--82 (1998; Zbl 0897.15004) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang Some inequalities for commutators and an application to spectral variation. II. (English) Zbl 0901.47012 Linear Multilinear Algebra 43, No. 1-3, 207-219 (1997). MSC: 47A63 47B47 15A60 PDF BibTeX XML Cite \textit{R. Bhatia} et al., Linear Multilinear Algebra 43, No. 1--3, 207--219 (1997; Zbl 0901.47012) Full Text: DOI
Abate, Marco When is a linear operator diagonalizable? (English) Zbl 0903.15005 Am. Math. Mon. 104, No. 9, 824-830 (1997). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 15A21 15A18 PDF BibTeX XML Cite \textit{M. Abate}, Am. Math. Mon. 104, No. 9, 824--830 (1997; Zbl 0903.15005) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M. Spectral variation bounds for diagonalisable matrices. (English) Zbl 0897.15007 Aequationes Math. 54, No. 1-2, 102-107 (1997). Reviewer: J.M.Day (San José) MSC: 15A42 15A60 PDF BibTeX XML Cite \textit{R. Bhatia} et al., Aequationes Math. 54, No. 1--2, 102--107 (1997; Zbl 0897.15007) Full Text: DOI EuDML
Rahn, C. D.; Mote, C. D. jun. Parametric control of conservative mechanical systems. (English) Zbl 0877.70019 J. Dyn. Syst. Meas. Control 118, No. 2, 309-314 (1996). MSC: 70Q05 70K28 PDF BibTeX XML Cite \textit{C. D. Rahn} and \textit{C. D. Mote jun.}, J. Dyn. Syst. Meas. Control 118, No. 2, 309--314 (1996; Zbl 0877.70019) Full Text: DOI
Bhatia, Rajendra; Li, Ren-Cang On perturbations of matrix pencils with real spectra. II. (English) Zbl 0852.15008 Math. Comput. 65, No. 214, 637-645 (1996). Reviewer: H.Hollatz (Magdeburg) MSC: 15A22 15A42 65F15 PDF BibTeX XML Cite \textit{R. Bhatia} and \textit{R.-C. Li}, Math. Comput. 65, No. 214, 637--645 (1996; Zbl 0852.15008) Full Text: DOI
Hartfiel, D. J. Dense sets of diagonalizable matrices. (English) Zbl 0835.15014 Proc. Am. Math. Soc. 123, No. 6, 1669-1672 (1995). Reviewer: J.M.Day (San José) MSC: 15B51 15A18 PDF BibTeX XML Cite \textit{D. J. Hartfiel}, Proc. Am. Math. Soc. 123, No. 6, 1669--1672 (1995; Zbl 0835.15014) Full Text: DOI
Lotto, B. A.; Steger, T. Von Neumann’s inequality for commuting, diagonalizable contractions. II. (English) Zbl 0805.15018 Proc. Am. Math. Soc. 120, No. 3, 897-901 (1994). Reviewer: A.Kondrat’ev (Pensacola) MSC: 15A45 15A60 PDF BibTeX XML Cite \textit{B. A. Lotto} and \textit{T. Steger}, Proc. Am. Math. Soc. 120, No. 3, 897--901 (1994; Zbl 0805.15018) Full Text: DOI
Lotto, B. A. Von Neumann’s inequality for commuting, diagonalizable contractions. I. (English) Zbl 0805.15017 Proc. Am. Math. Soc. 120, No. 3, 889-895 (1994). Reviewer: A.Kondrat’ev (Pensacola) MSC: 15A45 15A60 PDF BibTeX XML Cite \textit{B. A. Lotto}, Proc. Am. Math. Soc. 120, No. 3, 889--895 (1994; Zbl 0805.15017) Full Text: DOI
Adkins, William A. Primary decomposition of torsion \(R[X]\)-modules. (English) Zbl 0803.16005 Int. J. Math. Math. Sci. 17, No. 1, 41-46 (1994). Reviewer: T.W.Hungerford (Cleveland) MSC: 16D70 15A04 13C12 16S50 13F20 15A21 PDF BibTeX XML Cite \textit{W. A. Adkins}, Int. J. Math. Math. Sci. 17, No. 1, 41--46 (1994; Zbl 0803.16005) Full Text: DOI EuDML
Li, Ren-Cang On perturbations of matrix pencils with real spectra. (English) Zbl 0795.15012 Math. Comput. 62, No. 205, 231-265 (1994). Reviewer: H.Hollatz (Magdeburg) MSC: 15A42 15A22 65F15 PDF BibTeX XML Cite \textit{R.-C. Li}, Math. Comput. 62, No. 205, 231--265 (1994; Zbl 0795.15012) Full Text: DOI
Gilezan, Koriolan Anti-inverse Boolean semigroups. (English) Zbl 0820.47018 Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 23, No. 2, 233-237 (1993). MSC: 47A60 06E25 PDF BibTeX XML Cite \textit{K. Gilezan}, Zb. Rad., Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 23, No. 2, 233--237 (1993; Zbl 0820.47018)
Mornhinweg, David; Shapiro, Daniel B.; Valente, K. G. The principal axis theorem over arbitrary fields. (English) Zbl 0803.12001 Am. Math. Mon. 100, No. 8, 749-754 (1993). Reviewer: A.Sładek (Katowice) MSC: 12D15 12J15 15A21 15A18 PDF BibTeX XML Cite \textit{D. Mornhinweg} et al., Am. Math. Mon. 100, No. 8, 749--754 (1993; Zbl 0803.12001) Full Text: DOI
Badawi, Ayman \(R_ n\) contains a division ring iff \(R\) does. (English) Zbl 0806.16029 Am. Math. Mon. 100, No. 7, 679-680 (1993). Reviewer: Jan Van Geel (Gent) MSC: 16S50 15A30 16D70 16U60 16K40 15A21 PDF BibTeX XML Cite \textit{A. Badawi}, Am. Math. Mon. 100, No. 7, 679--680 (1993; Zbl 0806.16029) Full Text: DOI
Golovacheva, T. V. On the problem of diagonalizability of matrices over rings. (English. Russian original) Zbl 0790.15009 Russ. Math. Surv. 47, No. 6, 206-207 (1992); translation from Usp. Mat. Nauk 47, No. 6, 207-208 (1992). Reviewer: Chen Zhijie (Shanghai) MSC: 15A21 15B33 PDF BibTeX XML Cite \textit{T. V. Golovacheva}, Russ. Math. Surv. 47, No. 6, 1 (1992; Zbl 0790.15009); translation from Usp. Mat. Nauk 47, No. 6, 207--208 (1992) Full Text: DOI
Adkins, William A. Simultaneous diagonalization of matrices parametrized by a projective algebraic curve. (English) Zbl 0668.15011 Linear Algebra Appl. 116, 101-108 (1989). Reviewer: J.D.Dixon MSC: 15A21 15A54 PDF BibTeX XML Cite \textit{W. A. Adkins}, Linear Algebra Appl. 116, 101--108 (1989; Zbl 0668.15011) Full Text: DOI
Kovacs, Amos Products of matrices over a finite field. (English) Zbl 0628.15012 Ill. J. Math. 32, No. 2, 211-221 (1988). MSC: 15B33 15A15 05A15 PDF BibTeX XML Cite \textit{A. Kovacs}, Ill. J. Math. 32, No. 2, 211--221 (1988; Zbl 0628.15012)
Liu, Xinguo The perturbation of matrix eigenvalues. (Chinese. English summary) Zbl 0658.15016 Numer. Math., Nanjing 9, No. 3, 258-263 (1987). Reviewer: Yang Yingchen MSC: 15A42 15A18 PDF BibTeX XML Cite \textit{X. Liu}, Numer. Math., Nanjing 9, No. 3, 258--263 (1987; Zbl 0658.15016)
Evard, Jean-Claude On matrix functions which commute with their derivative. (English) Zbl 0575.15007 Linear Algebra Appl. 68, 145-178 (1985). Reviewer: H.-D.Fischer MSC: 15A54 15A27 15A23 34A30 PDF BibTeX XML Cite \textit{J.-C. Evard}, Linear Algebra Appl. 68, 145--178 (1985; Zbl 0575.15007) Full Text: DOI
Sun, Jiguang Estimation of the separation of two matrices. II. (English) Zbl 0561.65028 J. Comput. Math. 3, 19-26 (1985). Reviewer: R.P.Tewarson MSC: 65F35 15A12 PDF BibTeX XML Cite \textit{J. Sun}, J. Comput. Math. 3, 19--26 (1985; Zbl 0561.65028)
Sun, Jiguang On the perturbation of the eigenvalues of a normal matrix. (Chinese. English summary) Zbl 0554.15009 Math. Numer. Sin. 6, 334-336 (1984). MSC: 15A42 PDF BibTeX XML Cite \textit{J. Sun}, Math. Numer. Sin. 6, 334--336 (1984; Zbl 0554.15009)
Tibor, Fiala Normal equivalent to an arbitrary diagonalizable matrix. (English) Zbl 0539.65014 Linear Algebra Appl. 51, 153-162 (1983). Reviewer: F.Ribière-Michaud MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{F. Tibor}, Linear Algebra Appl. 51, 153--162 (1983; Zbl 0539.65014) Full Text: DOI
Kasahara, Koji A numerical method for spectral decomposition of semi-simple matrix with real eigenvalues. (English) Zbl 0522.65021 Stud. Hum. Nat. 16, 7-15 (1982). MSC: 65F15 PDF BibTeX XML Cite \textit{K. Kasahara}, Stud. Hum. Nat. 16, 7--15 (1982; Zbl 0522.65021)
Heunemann, Dieter On the diagonalization of holomorphic matrix functions of several variables. (English) Zbl 0468.32001 Math. Nachr. 95, 323-326 (1980). MSC: 32A10 32A99 15A15 PDF BibTeX XML Cite \textit{D. Heunemann}, Math. Nachr. 95, 323--326 (1980; Zbl 0468.32001) Full Text: DOI
Rozenblyum, A. V.; Rozenblyum, L. V. Representations of group of motions of \(n\)-dimensional Euclidean space and Bessel functions of matrix index. (Russian) Zbl 0441.22009 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1980, No. 4, 44-52 (1980). MSC: 22E45 33C80 PDF BibTeX XML Cite \textit{A. V. Rozenblyum} and \textit{L. V. Rozenblyum}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1980, No. 4, 44--52 (1980; Zbl 0441.22009)
Schmidt, Garfield C. An ’almost algebraic’ proof of the spectral theorem for \(R^n\). (English) Zbl 0419.15008 Int. J. Math. Educ. Sci. Technol. 10, 549-552 (1979). MSC: 15A21 15A18 PDF BibTeX XML Cite \textit{G. C. Schmidt}, Int. J. Math. Educ. Sci. Technol. 10, 549--552 (1979; Zbl 0419.15008) Full Text: DOI