Garcia, Stephan Ramon; Horn, Roger A. Matrix mathematics. A second course in linear algebra. 2nd edition, previously published under the title A second course in linear algebra. (English) Zbl 1522.15001 Cambridge Mathematical Textbooks. Cambridge: Cambridge University Press (ISBN 978-1-108-83710-1/hbk; 978-1-108-93842-6/ebook). xxii, 467 p. (2023). MSC: 15-01 00A05 00A06 15Axx 15Bxx PDFBibTeX XMLCite \textit{S. R. Garcia} and \textit{R. A. Horn}, Matrix mathematics. A second course in linear algebra. 2nd edition, previously published under the title A second course in linear algebra. Cambridge: Cambridge University Press (2023; Zbl 1522.15001) Full Text: DOI
Horn, Roger A.; Yang, Zai Rank of a Hadamard product. (English) Zbl 1439.15007 Linear Algebra Appl. 591, 87-98 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A45 15B48 15A03 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{Z. Yang}, Linear Algebra Appl. 591, 87--98 (2020; Zbl 1439.15007) Full Text: DOI
Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. (English) Zbl 1376.15005 Linear Algebra Appl. 537, 84-99 (2018). MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{V. A. Bovdi} et al., Linear Algebra Appl. 537, 84--99 (2018; Zbl 1376.15005) Full Text: DOI arXiv
Garcia, Stephan Ramon; Horn, Roger A. A second course in linear algebra. (English) Zbl 1364.15001 Cambridge Mathematical Textbooks. Cambridge: Cambridge University Press (ISBN 978-1-107-10381-8/hbk). xix, 426 p. (2017). MSC: 15-01 00A05 00A06 15Axx 15Bxx PDFBibTeX XMLCite \textit{S. R. Garcia} and \textit{R. A. Horn}, A second course in linear algebra. Cambridge: Cambridge University Press (2017; Zbl 1364.15001)
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. Specht’s criterion for systems of linear mappings. (English) Zbl 1358.15007 Linear Algebra Appl. 519, 278-295 (2017). MSC: 15A21 15A63 16G20 05A20 15A04 47A67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 519, 278--295 (2017; Zbl 1358.15007) Full Text: DOI arXiv
Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. Simultaneous unitary equivalences. (English) Zbl 1281.65068 Linear Algebra Appl. 438, No. 10, 3829-3835 (2013). MSC: 65F30 15A21 15A27 PDFBibTeX XMLCite \textit{T. G. Gerasimova} et al., Linear Algebra Appl. 438, No. 10, 3829--3835 (2013; Zbl 1281.65068) Full Text: DOI arXiv
Horn, Roger A.; Johnson, Charles R. Matrix analysis. 2nd ed. (English) Zbl 1267.15001 Cambridge: Cambridge University Press (ISBN 978-0-521-54823-6/pbk; 978-0-521-83940-2/hbk). xviii, 643 p. (2013). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15-01 15A18 15A21 15A23 15A42 15A45 15A60 15B48 15B57 15A63 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Matrix analysis. 2nd ed. Cambridge: Cambridge University Press (2013; Zbl 1267.15001)
Horn, Roger A.; Sergeichuk, Vladimir V. Representations of quivers and mixed graphs. arXiv:1312.7719 Preprint, arXiv:1312.7719 [math.RT] (2013). MSC: 15A21 16G20 BibTeX Cite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, ``Representations of quivers and mixed graphs'', Preprint, arXiv:1312.7719 [math.RT] (2013) Full Text: DOI arXiv OA License
Horn, Roger A.; Zhang, Fuzhen A generalization of the complex Autonne-Takagi factorization to quaternion matrices. (English) Zbl 1259.15018 Linear Multilinear Algebra 60, No. 11-12, 1239-1244 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A23 15A18 15B33 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{F. Zhang}, Linear Multilinear Algebra 60, No. 11--12, 1239--1244 (2012; Zbl 1259.15018) Full Text: DOI
Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. Remarks on the classification of a pair of commuting semilinear operators. (English) Zbl 1260.15004 Linear Algebra Appl. 436, No. 9, 3362-3372 (2012). Reviewer: Wu Jing (Fayetteville) MSC: 15A04 15A21 05C20 05C50 PDFBibTeX XMLCite \textit{D. Duarte de Oliveira} et al., Linear Algebra Appl. 436, No. 9, 3362--3372 (2012; Zbl 1260.15004) Full Text: DOI arXiv
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. A canonical form for nonderogatory matrices under unitary similarity. (English) Zbl 1288.15014 Linear Algebra Appl. 435, No. 4, 830-841 (2011). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A21 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 435, No. 4, 830--841 (2011; Zbl 1288.15014) Full Text: DOI arXiv
Horn, Roger A.; Zhang, Fuzhen Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. (English) Zbl 1191.15015 Electron. J. Linear Algebra 20, 90-94 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A42 15A45 15A69 15B48 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{F. Zhang}, Electron. J. Linear Algebra 20, 90--94 (2010; Zbl 1191.15015) Full Text: DOI EuDML EMIS Link
Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano Explicit polar decomposition of complex matrices. (English) Zbl 1190.15017 Electron. J. Linear Algebra 18, 693-699 (2009). MSC: 15A23 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Electron. J. Linear Algebra 18, 693--699 (2009; Zbl 1190.15017) Full Text: DOI EuDML EMIS Link
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical forms for unitary congruence and \(^*\)congruence. (English) Zbl 1183.15010 Linear Multilinear Algebra 57, No. 8, 777-815 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Multilinear Algebra 57, No. 8, 777--815 (2009; Zbl 1183.15010) Full Text: DOI arXiv
Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. Matrices that are self-congruent only via matrices of determinant one. (English) Zbl 1176.15014 Linear Algebra Appl. 431, No. 9, 1620-1632 (2009). Reviewer: Rabe von Randow (Bonn) MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{T. G. Gerasimova} et al., Linear Algebra Appl. 431, No. 9, 1620--1632 (2009; Zbl 1176.15014) Full Text: DOI arXiv
Horn, Roger A.; Merino, Dennis I.; Paras, Agnes T. The \(\psi_S\) polar decomposition. (English) Zbl 1176.15016 Linear Algebra Appl. 431, No. 8, 1249-1256 (2009). Reviewer: Sheng Chen (Harbin) MSC: 15A23 15B10 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Linear Algebra Appl. 431, No. 8, 1249--1256 (2009; Zbl 1176.15016) Full Text: DOI
Goodson, Geoffrey R.; Horn, Roger A. Canonical forms for normal matrices that commute with their complex conjugate. (English) Zbl 1162.15004 Linear Algebra Appl. 430, No. 4, 1025-1038 (2009). Reviewer: Sheng Chen (Harbin) MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{G. R. Goodson} and \textit{R. A. Horn}, Linear Algebra Appl. 430, No. 4, 1025--1038 (2009; Zbl 1162.15004) Full Text: DOI
Futorny, V.; Horn, R. A.; Sergeichuk, V. V. Classification of squared normal operators on unitary and Euclidean spaces. (English. Russian original) Zbl 1157.15311 J. Math. Sci., New York 155, No. 6, 950-955 (2008); translation from Fundam. Prikl. Mat. 13, No. 4, 225-232 (2007). MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Math. Sci., New York 155, No. 6, 950--955 (2008; Zbl 1157.15311); translation from Fundam. Prikl. Mat. 13, No. 4, 225--232 (2007) Full Text: DOI arXiv
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. (English) Zbl 1138.15002 J. Algebra 319, No. 6, 2351-2371 (2008). Reviewer: Erich W. Ellers (Toronto) MSC: 15A21 15A63 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 319, No. 6, 2351--2371 (2008; Zbl 1138.15002) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical matrices of bilinear and sesquilinear forms. (English) Zbl 1141.15011 Linear Algebra Appl. 428, No. 1, 193-223 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A21 15A63 16E20 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 428, No. 1, 193--223 (2008; Zbl 1141.15011) Full Text: DOI arXiv
Horn, Roger A.; Serra-Capizzano, Stefano A general setting for the parametric google matrix. (English) Zbl 1146.65315 Internet Math. 3, No. 4, 385-411 (2006). MSC: 65F15 15A21 15B51 68P10 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{S. Serra-Capizzano}, Internet Math. 3, No. 4, 385--411 (2006; Zbl 1146.65315) Full Text: DOI
Horn, Roger A.; Sergeichuk, Vladimir V. Canonical forms for complex matrix congruence and \(^{*}\)-congruence. (English) Zbl 1098.15004 Linear Algebra Appl. 416, No. 2-3, 1010-1032 (2006). Reviewer: Erich W. Ellers (Toronto) MSC: 15A21 15A63 11E39 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 416, No. 2--3, 1010--1032 (2006; Zbl 1098.15004) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V. A regularization algorithm for matrices of bilinear and sesquilinear forms. (English) Zbl 1090.15018 Linear Algebra Appl. 412, No. 2-3, 380-395 (2006). Reviewer: Ralf Gramlich (Darmstadt) MSC: 15A63 15A21 65F30 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 412, No. 2--3, 380--395 (2006; Zbl 1090.15018) Full Text: DOI arXiv
Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi Solution of linear matrix equations in a *congruence class. (English) Zbl 1092.15010 Electron. J. Linear Algebra 13, 153-156 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A06 15A21 15B48 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Electron. J. Linear Algebra 13, 153--156 (2005; Zbl 1092.15010) Full Text: DOI EuDML EMIS Link
Horn, Roger A.; Sergeichuk, Vladimir V. Congruences of a square matrix and its transpose. (English) Zbl 1068.15007 Linear Algebra Appl. 389, 347-353 (2004). Reviewer: Hans Havlicek (Wien) MSC: 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{V. V. Sergeichuk}, Linear Algebra Appl. 389, 347--353 (2004; Zbl 1068.15007) Full Text: DOI arXiv
Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I. Quasi-real normal matrices and eigenvalue pairings. (English) Zbl 1024.15005 Linear Algebra Appl. 369, 279-294 (2003). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A21 15A18 15B57 PDFBibTeX XMLCite \textit{G. R. Goodson} et al., Linear Algebra Appl. 369, 279--294 (2003; Zbl 1024.15005) Full Text: DOI
Horn, Roger A.; Piepmeyer, Gregory G. Two applications of the theory of primary matrix functions. (English) Zbl 1032.15018 Linear Algebra Appl. 361, 99-106 (2003). Reviewer: Jan Kubarski (Łódź) MSC: 15A54 15A03 15A21 15A60 47A56 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{G. G. Piepmeyer}, Linear Algebra Appl. 361, 99--106 (2003; Zbl 1032.15018) Full Text: DOI
Horn, Roger A. Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries. (English) Zbl 1025.15037 Linear Algebra Appl. 357, No. 1-3, 35-44 (2002). Reviewer: Alexander Guterman (Moskva) MSC: 15B57 15A45 15B48 15A18 PDFBibTeX XMLCite \textit{R. A. Horn}, Linear Algebra Appl. 357, No. 1--3, 35--44 (2002; Zbl 1025.15037) Full Text: DOI
Cheng, Che-Man; Horn, Roger A.; Li, Chi-Kwong Inequalities and equalities for the Cartesian decomposition of complex matrices. (English) Zbl 0997.15015 Linear Algebra Appl. 341, No. 1-3, 219-237 (2002). Reviewer: Rabe von Randow (Bonn) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{C.-M. Cheng} et al., Linear Algebra Appl. 341, No. 1--3, 219--237 (2002; Zbl 0997.15015) Full Text: DOI
Horn, Roger A.; Merino, Dennis I. The Jordan canonical forms of complex orthogonal and skew-symmetric matrices. (English) Zbl 0945.15010 Linear Algebra Appl. 302-303, 411-421 (1999). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{D. I. Merino}, Linear Algebra Appl. 302--303, 411--421 (1999; Zbl 0945.15010) Full Text: DOI
Horn, Roger A.; Lopatin, Alexey K. The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. (English) Zbl 0943.15016 Linear Algebra Appl. 299, No. 1-3, 153-163 (1999). Reviewer: Rabe von Randow (Bonn) MSC: 15B57 15A18 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{A. K. Lopatin}, Linear Algebra Appl. 299, No. 1--3, 153--163 (1999; Zbl 0943.15016) Full Text: DOI
Horn, Roger A.; Zhan, Xingzhi Inequalities for C-S seminorms and Lieb functions. (English) Zbl 0932.15015 Linear Algebra Appl. 291, No. 1-3, 103-113 (1999). Reviewer: Joseph Lakey (Las Cruces) MSC: 15A60 15A45 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{X. Zhan}, Linear Algebra Appl. 291, No. 1--3, 103--113 (1999; Zbl 0932.15015) Full Text: DOI
Choudhury, Dipa; Horn, Roger A. An analog of the Gram-Schmidt algorithm for complex bilinear forms. (English) Zbl 0901.65027 Bull. Inst. Math., Acad. Sin. 26, No. 1, 43-60 (1998). Reviewer: Liu Xinguo (Qingdao) MSC: 65F25 65E05 15A63 15A21 PDFBibTeX XMLCite \textit{D. Choudhury} and \textit{R. A. Horn}, Bull. Inst. Math., Acad. Sin. 26, No. 1, 43--60 (1998; Zbl 0901.65027)
Horn, Roger A.; Kittaneh, Fuad Two applications of a bound on the Hadamard product with a Cauchy matrix. (English) Zbl 0890.15020 Electron. J. Linear Algebra 3, 4-12 (1998). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A45 15A60 15B57 15A21 15A18 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{F. Kittaneh}, Electron. J. Linear Algebra 3, 4--12 (1998; Zbl 0890.15020) Full Text: DOI EuDML EMIS
Horn, Roger A.; Rhee, Noah H.; So, Wasin Eigenvalue inequalities and equalities. (English) Zbl 0890.15019 Linear Algebra Appl. 270, 29-44 (1998). Reviewer: K.Burian (Havířov) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Linear Algebra Appl. 270, 29--44 (1998; Zbl 0890.15019) Full Text: DOI
Horn, Roger A.; Olkin, Ingram When does \(A^*A=B^*B\) and why does one want to know? (English) Zbl 0861.15011 Am. Math. Mon. 103, No. 6, 470-482 (1996). Reviewer: G.E.Wall (Sydney) MSC: 15A21 62H20 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{I. Olkin}, Am. Math. Mon. 103, No. 6, 470--482 (1996; Zbl 0861.15011) Full Text: DOI
Horn, Roger A. Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms. (English) Zbl 0829.15016 Linear Algebra Appl. 223-224, 355-361 (1995). Reviewer: S.S.Dragomir (Timişoara) MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{R. A. Horn}, Linear Algebra Appl. 223--224, 355--361 (1995; Zbl 0829.15016) Full Text: DOI
Cain, Bryan E.; Horn, Roger A.; Li, Luoluo Inequalities for monotonic arrangements of eigenvalues. (English) Zbl 0834.15009 Linear Algebra Appl. 222, 1-8 (1995). Reviewer: Z.Dostál (Ostrava) MSC: 15A42 PDFBibTeX XMLCite \textit{B. E. Cain} et al., Linear Algebra Appl. 222, 1--8 (1995; Zbl 0834.15009) Full Text: DOI
Horn, Roger A.; Merino, Dennis I. Contragredient equivalence: A canonical form and some applications. (English) Zbl 0817.15005 Linear Algebra Appl. 214, 43-92 (1995). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A21 15A23 15A24 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{D. I. Merino}, Linear Algebra Appl. 214, 43--92 (1995; Zbl 0817.15005) Full Text: DOI
Horn, Roger A.; Johnson, Charles R. Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. (English) Zbl 0801.15001 Cambridge: Cambridge University Press,. viii, 607 p. £19.95; $ 29.95/pbk (1994). MSC: 15-02 15A18 15A24 15A27 15A42 15A45 15B48 15A60 15A69 53A45 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Cambridge: Cambridge University Press (1994; Zbl 0801.15001)
Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I. Linear operators preserving complex orthogonal equivalence on matrices. (English) Zbl 0796.15002 SIAM J. Matrix Anal. Appl. 15, No. 2, 519-529 (1994). Reviewer: Li Shaokuan (Shanghai) MSC: 15A04 15B57 PDFBibTeX XMLCite \textit{R. A. Horn} et al., SIAM J. Matrix Anal. Appl. 15, No. 2, 519--529 (1994; Zbl 0796.15002) Full Text: DOI
Horn, Roger A.; Merino, Dennis I. A real-coninvolutory analog of the polar decomposition. (English) Zbl 0814.15011 Linear Algebra Appl. 190, 209-227 (1993). Reviewer: Yang Yingchen (Beijing) MSC: 15B57 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{D. I. Merino}, Linear Algebra Appl. 190, 209--227 (1993; Zbl 0814.15011) Full Text: DOI
Hong, Yoo-Pyo; Horn, Roger A.; Li, Chi-Kwong Linear operators preserving \(t\)-congruence on matrices. (English) Zbl 0767.15007 Linear Algebra Appl. 175, 191-211 (1992). Reviewer: R.Ursianu (Bucureşti) MSC: 15A30 PDFBibTeX XMLCite \textit{Y.-P. Hong} et al., Linear Algebra Appl. 175, 191--211 (1992; Zbl 0767.15007) Full Text: DOI
Horn, Roger A.; Mathias, Roy Block-matrix generalizations of Schur’s basic theorems on Hadamard products. (English) Zbl 0770.15007 Linear Algebra Appl. 172, 337-346 (1992). Reviewer: A.R.Kräuter (Leoben) MSC: 15A42 15A69 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{R. Mathias}, Linear Algebra Appl. 172, 337--346 (1992; Zbl 0770.15007) Full Text: DOI
Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad Normal approximants to binormal operators. (English) Zbl 0728.15007 Linear Algebra Appl. 147, 169-179 (1991). Reviewer: A.Ruhe (Göteborg) MSC: 15A21 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Algebra Appl. 147, 169--179 (1991; Zbl 0728.15007) Full Text: DOI
Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu Linear operators preserving certain equivalence relations on matrices. (English) Zbl 0724.15007 SIAM J. Matrix Anal. Appl. 12, No. 2, 195-204 (1991). Reviewer: L.Rodman (Williamsburg) MSC: 15A04 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} et al., SIAM J. Matrix Anal. Appl. 12, No. 2, 195--204 (1991; Zbl 0724.15007) Full Text: DOI
Hong, Yoopyo; Horn, Roger A. The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix. (English) Zbl 0712.15007 Linear Algebra Appl. 147, 373-386 (1991). Reviewer: K.H.Kim MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{R. A. Horn}, Linear Algebra Appl. 147, 373--386 (1991; Zbl 0712.15007) Full Text: DOI
Horn, Roger A.; Mathias, Roy; Nakamura, Yoshihiro Inequalities for unitarily invariant norms and bilinear matrix products. (English) Zbl 0754.15015 Linear Multilinear Algebra 30, No. 4, 303-314 (1991). Reviewer: S.S.Dragomir (Timişoara) MSC: 15A45 15A42 15A60 PDFBibTeX XMLCite \textit{R. A. Horn} et al., Linear Multilinear Algebra 30, No. 4, 303--314 (1991; Zbl 0754.15015) Full Text: DOI
Horn, Roger A.; Johnson, Charles R. Topics in matrix analysis. (English) Zbl 0729.15001 Cambridge etc.: Cambridge University Press. viii, 607 p. £45.00; $ 59.50 (1991). Reviewer: J.Zemánek (Warszawa) MSC: 15-02 15A18 15A24 15A27 15A42 15A45 15B48 15A60 15A69 53A45 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Topics in matrix analysis. Cambridge etc.: Cambridge University Press (1991; Zbl 0729.15001) Backlinks: MO MO
Horn, Roger A.; Johnson, Charles R. Matrix analysis. Reprinted with corrections. (English) Zbl 0704.15002 Cambridge etc.: Cambridge University Press. xiii, 561 p. £13.95/pbk; £24.95/hbk (1990). MSC: 15-01 65Fxx 15A18 15A21 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Matrix analysis. Reprinted with corrections. Cambridge etc.: Cambridge University Press (1990; Zbl 0704.15002)
Horn, Roger A.; Mathias, Roy An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. (English) Zbl 0722.15019 SIAM J. Matrix Anal. Appl. 11, No. 4, 481-498 (1990). Reviewer: H.Grassmann (Berlin) MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{R. Mathias}, SIAM J. Matrix Anal. Appl. 11, No. 4, 481--498 (1990; Zbl 0722.15019) Full Text: DOI
Horn, Roger A.; Mathias, Roy Cauchy-Schwarz inequalities associated with positive semidefinite matrices. (English) Zbl 0714.15012 Linear Algebra Appl. 142, 63-82 (1990). Reviewer: S.S.Dragomir MSC: 15A45 15A60 26D15 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{R. Mathias}, Linear Algebra Appl. 142, 63--82 (1990; Zbl 0714.15012) Full Text: DOI
Horn, Roger A. The Hadamard product. (English) Zbl 0712.15011 Matrix theory and applications, Proc. Meet., Phoenix/AZ (USA) 1989, Proc. Symp. Appl. Math. 40, 87-169 (1990). Reviewer: N.Backhouse MSC: 15A30 15-02 15A63 15A60 15A18 15A42 15A45 15A69 PDFBibTeX XML
Horn, Roger A.; Johnson, Charles R. Ikramov, Kh. D. (ed.) Matrix analysis. Transl. from the English by Kh. D. Ikramov, A. V. Knyazev and E. E. Tyrtyshnikov. Transl. ed. and with a foreword by Ikramov. (Матричный анализ.) (Russian) Zbl 0734.15002 Moskva: Mir. 656 p. R. 3.00 (1989). MSC: 15-01 65Fxx 15A18 15A21 PDFBibTeX XML
Hong, Yoopyo; Horn, Roger A. A characterization of unitary congruence. (English) Zbl 0682.15010 Linear Multilinear Algebra 25, No. 2, 105-119 (1989). Reviewer: Wenting Tong MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{R. A. Horn}, Linear Multilinear Algebra 25, No. 2, 105--119 (1989; Zbl 0682.15010) Full Text: DOI
Choudhury, Dipa; Horn, Roger A. An analogue of the Schur triangular factorization for complex orthogonal similarity and consimilarity. (English) Zbl 0673.15005 Linear algebra in signals, systems and control, Proc. SIAM Conf., Boston/Mass. 1986, 36-43 (1988). Reviewer: J.A.Ball MSC: 15A23 15A21 PDFBibTeX XML
Hong, YooPyo; Horn, Roger A. A canonical form for matrices under consimilarity. (English) Zbl 0657.15008 Linear Algebra Appl. 102, 143-168 (1988). Reviewer: G.E.Wall MSC: 15A21 15A04 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{R. A. Horn}, Linear Algebra Appl. 102, 143--168 (1988; Zbl 0657.15008) Full Text: DOI
Choudhury, Dipa; Horn, Roger A.; Pierce, Stephen J. Quasi-positive definite operators and matrices. (English) Zbl 0654.15022 Linear Algebra Appl. 99, 161-176 (1988). Reviewer: P.M.Gibson MSC: 15A69 15A63 15A15 15B48 PDFBibTeX XMLCite \textit{D. Choudhury} et al., Linear Algebra Appl. 99, 161--176 (1988; Zbl 0654.15022) Full Text: DOI
Choudhury, Dipa; Horn, Roger A. An analogue of the Schur triangular factorization for complex orthogonal similarity and consimilarity. (English) Zbl 0647.15008 SIAM J. Matrix Anal. Appl. 9, No. 1, 90-95 (1988). Reviewer: V.Perić MSC: 15A23 15A21 PDFBibTeX XMLCite \textit{D. Choudhury} and \textit{R. A. Horn}, SIAM J. Matrix Anal. Appl. 9, No. 1, 90--95 (1988; Zbl 0647.15008) Full Text: DOI
Ando, T.; Horn, Roger A.; Johnson, Charles R. The singular values of a Hadamard product: a basic inequality. (English) Zbl 0633.15011 Linear Multilinear Algebra 21, 345-365 (1987). Reviewer: G.P.Barker MSC: 15A42 PDFBibTeX XMLCite \textit{T. Ando} et al., Linear Multilinear Algebra 21, 345--365 (1987; Zbl 0633.15011) Full Text: DOI
Choudhury, Dipa; Horn, Roger A. A complex orthogonal-symmetric analog of the polar decomposition. (English) Zbl 0623.15006 SIAM J. Algebraic Discrete Methods 8, 219-225 (1987). Reviewer: F.J.Gaines MSC: 15A23 15B57 PDFBibTeX XMLCite \textit{D. Choudhury} and \textit{R. A. Horn}, SIAM J. Algebraic Discrete Methods 8, 219--225 (1987; Zbl 0623.15006) Full Text: DOI
Choudhury, Dipa; Horn, Roger A. An analog of the singular value decomposition for complex orthogonal equivalence. (English) Zbl 0619.15010 Linear Multilinear Algebra 21, 149-162 (1987). Reviewer: Chen Zhijie MSC: 15A23 PDFBibTeX XMLCite \textit{D. Choudhury} and \textit{R. A. Horn}, Linear Multilinear Algebra 21, 149--162 (1987; Zbl 0619.15010) Full Text: DOI
Horn, Roger A.; Johnson, Charles R. Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. (English) Zbl 0605.15017 Linear Multilinear Algebra 20, 91-106 (1987). Reviewer: P.Rudra MSC: 15A60 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Linear Multilinear Algebra 20, 91--106 (1987; Zbl 0605.15017) Full Text: DOI
Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R. On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. (English) Zbl 0593.15005 Linear Algebra Appl. 73, 213-226 (1986). Reviewer: B.Reichstein MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{Yoo Pyo Hong} et al., Linear Algebra Appl. 73, 213--226 (1986; Zbl 0593.15005) Full Text: DOI
Hong Yoo Pyo; Horn, Roger A. On the reduction of a matrix to triangular or diagonal form by consimilarity. (English) Zbl 0583.15006 SIAM J. Algebraic Discrete Methods 7, 80-88 (1986). Reviewer: G.P.Barker MSC: 15A21 15A23 15A18 PDFBibTeX XMLCite \textit{Hong Yoo Pyo} and \textit{R. A. Horn}, SIAM J. Algebraic Discrete Methods 7, 80--88 (1986; Zbl 0583.15006) Full Text: DOI
Horn, Roger A.; Johnson, Charles R. Matrix analysis. (English) Zbl 0576.15001 Cambridge etc.: Cambridge University Press. XIII, 561 p. (1985). Reviewer: H.-J.Kowalsky MSC: 15-01 15A18 15A21 65Fxx PDFBibTeX XML Full Text: DOI Backlinks: MO MO
Hong, Yoo Pyo; Horn, Roger A. On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences. (English) Zbl 0568.15007 Linear Multilinear Algebra 17, 271-288 (1985). Reviewer: R.C.Thompson MSC: 15A21 PDFBibTeX XMLCite \textit{Y. P. Hong} and \textit{R. A. Horn}, Linear Multilinear Algebra 17, 271--288 (1985; Zbl 0568.15007) Full Text: DOI
FitzGerald, Carl H.; Horn, Roger A. On fractional Hadamard powers of positive definite matrices. (English) Zbl 0406.15006 J. Math. Anal. Appl. 61, 633-642 (1977). MSC: 15A63 15A45 PDFBibTeX XMLCite \textit{C. H. FitzGerald} and \textit{R. A. Horn}, J. Math. Anal. Appl. 61, 633--642 (1977; Zbl 0406.15006) Full Text: DOI
Fitzgerald, Carl H.; Horn, Roger A. On the structure of Hermitian-symmetric inequalities. (English) Zbl 0368.15014 J. Lond. Math. Soc., II. Ser. 15, 419-430 (1977). MSC: 15A63 15B48 15A45 30E05 30C50 15B57 PDFBibTeX XMLCite \textit{C. H. Fitzgerald} and \textit{R. A. Horn}, J. Lond. Math. Soc., II. Ser. 15, 419--430 (1977; Zbl 0368.15014) Full Text: DOI
Horn, Roger A. On inequalities between Hermitian and symmetric forms. (English) Zbl 0309.15013 Linear Algebra Appl. 11, 189-218 (1975). MSC: 15B57 15A63 PDFBibTeX XMLCite \textit{R. A. Horn}, Linear Algebra Appl. 11, 189--218 (1975; Zbl 0309.15013) Full Text: DOI