Edit Profile (opens in new tab) Horn, Roger Alan Compute Distance To: Compute Author ID: horn.roger-a Published as: Horn, Roger A.; Horn, R. A.; Horn, Roger more...less External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 90 Publications since 1962, including 7 Books 4 Contributions as Editor Co-Authors: 55 Co-Authors with 78 Joint Publications 2,068 Co-Co-Authors all top 5 Co-Authors 16 single-authored 14 Sergeichuk, Vladimir Vasil’evich 9 Johnson, Charles Royal 7 Merino, Dennis I. 6 Choudhury, Dipa 5 Hong, Yoopyo 5 Li, Chi-Kwong 4 Futorny, Vyacheslav M. 4 Mathias, Roy 3 FitzGerald, Carl H. 3 Kittaneh, Fuad 3 Zhang, Fuzhen 2 Bateman, Paul Trevier 2 Bhatia, Rajendra 2 Garcia, Stephan Ramon 2 Gerasimova, Tatiana G. 2 Goodson, Geoffrey R. 2 Horn, Susan Dadakis 1 Bapat, Ravindra Bhalchandra 1 Bhattacharyya, Tirthankar 1 Bovdi, Victor A. 1 Cain, Bryan E. 1 Cheng, Cheman 1 Duarte de Oliveira, Debora 1 Duncan, David B. 1 Friedland, Shmuel 1 Higham, Nicholas J. 1 Holbrook, John A. R. 1 Hong Yoo Pyo 1 Ikramov, Saidkhakim Dododshanovich 1 Klimchuk, Tatiana 1 Laffey, Thomas J. 1 Li, Luoluo 1 Lopatin, Oleksiĭ Konstyantynovych 1 Luca, Florian 1 Meredith, R. D. 1 Nakamura, Yoshihiro 1 Olkin, Ingram 1 Paras, Agnes T. 1 Piazza, Giuseppe 1 Piepmeyer, Gregory G. 1 Pierce, Stephen J. 1 Plemmons, Robert James 1 Politi, Tiziano 1 Puerta, Ferran 1 Rao, T. S. S. R. K. 1 Rhee, Noah H. 1 Salim, Mohamed Ahmed M. 1 Sarma, Kuldeep 1 Serra-Capizzano, Stefano 1 Shaked-Monderer, Naomi 1 So, Wasin 1 Steutel, Fred Willem 1 Tsing, Nam-Kiu 1 Yang, Zai 1 Yoo Pyo Hong 1 Zhan, Xingzhi all top 5 Serials 38 Linear Algebra and its Applications 8 Linear and Multilinear Algebra 5 ELA. The Electronic Journal of Linear Algebra 4 American Mathematical Monthly 4 SIAM Journal on Matrix Analysis and Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of the American Statistical Association 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 SIAM Journal on Algebraic and Discrete Methods 1 Mathematics of Computation 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Stochastic Processes and their Applications 1 Journal of Mathematical Sciences (New York) 1 Internet Mathematics 1 Cambridge Mathematical Textbooks all top 5 Fields 73 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 Associative rings and algebras (16-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 9,152 times in 8,147 Documents Cited by ▼ Year ▼ Matrix analysis. Zbl 0576.15001Horn, Roger A.; Johnson, Charles R. 3,841 1985 Topics in matrix analysis. Zbl 0729.15001Horn, Roger A.; Johnson, Charles R. 1,976 1991 Matrix analysis. Reprinted with corrections. Zbl 0704.15002Horn, Roger A.; Johnson, Charles R. 986 1990 Matrix analysis. 2nd ed. Zbl 1267.15001Horn, Roger A.; Johnson, Charles R. 968 2013 Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001Horn, Roger A.; Johnson, Charles R. 366 1994 A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302Bateman, P. T.; Horn, Roger A. 86 1962 A canonical form for matrices under consimilarity. Zbl 0657.15008Hong, YooPyo; Horn, Roger A. 49 1988 The theory of infinitely divisible matrices and kernels. Zbl 0177.05003Horn, R. A. 46 1969 Canonical forms for complex matrix congruence and \(^{*}\)-congruence. Zbl 1098.15004Horn, Roger A.; Sergeichuk, Vladimir V. 45 2006 Contragredient equivalence: A canonical form and some applications. Zbl 0817.15005Horn, Roger A.; Merino, Dennis I. 43 1995 Estimating heteroscedastic variances in linear models. Zbl 0321.62075Horn, Susan D.; Horn, Roger A.; Duncan, David B. 42 1975 On fractional Hadamard powers of positive definite matrices. Zbl 0406.15006FitzGerald, Carl H.; Horn, Roger A. 41 1977 Cauchy-Schwarz inequalities associated with positive semidefinite matrices. Zbl 0714.15012Horn, Roger A.; Mathias, Roy 39 1990 Congruences of a square matrix and its transpose. Zbl 1068.15007Horn, Roger A.; Sergeichuk, Vladimir V. 38 2004 On infinitely divisible matrices, kernels, and functions. Zbl 0314.60017Horn, Roger A. 34 1967 Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011Horn, Roger A.; Sergeichuk, Vladimir V. 32 2008 The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011Ando, T.; Horn, Roger A.; Johnson, Charles R. 29 1987 A generalization of the complex Autonne-Takagi factorization to quaternion matrices. Zbl 1259.15018Horn, Roger A.; Zhang, Fuzhen 20 2012 A characterization of unitary congruence. Zbl 0682.15010Hong, Yoopyo; Horn, Roger A. 19 1989 Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017Horn, Roger A.; Johnson, Charles R. 18 1987 A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018Horn, Roger A.; Sergeichuk, Vladimir V. 18 2006 Linear operators preserving certain equivalence relations on matrices. Zbl 0724.15007Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu 17 1991 Canonical forms for unitary congruence and \(^*\)congruence. Zbl 1183.15010Horn, Roger A.; Sergeichuk, Vladimir V. 17 2009 An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. Zbl 0722.15019Horn, Roger A.; Mathias, Roy 16 1990 Inequalities for unitarily invariant norms and bilinear matrix products. Zbl 0754.15015Horn, Roger A.; Mathias, Roy; Nakamura, Yoshihiro 16 1991 Inequalities for C-S seminorms and Lieb functions. Zbl 0932.15015Horn, Roger A.; Zhan, Xingzhi 15 1999 Block-matrix generalizations of Schur’s basic theorems on Hadamard products. Zbl 0770.15007Horn, Roger A.; Mathias, Roy 14 1992 On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R. 14 1986 A real-coninvolutory analog of the polar decomposition. Zbl 0814.15011Horn, Roger A.; Merino, Dennis I. 14 1993 Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. Zbl 1191.15015Horn, Roger A.; Zhang, Fuzhen 14 2010 Primes represented by irreducible polynomials in one variable. Zbl 0136.32902Bateman, Paul T.; Horn, Roger A. 13 1965 Eigenvalue inequalities and equalities. Zbl 0890.15019Horn, Roger A.; Rhee, Noah H.; So, Wasin 11 1998 The Jordan canonical forms of complex orthogonal and skew-symmetric matrices. Zbl 0945.15010Horn, Roger A.; Merino, Dennis I. 11 1999 The Hadamard product. Zbl 0712.15011Horn, Roger A. 10 1990 On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences. Zbl 0568.15007Hong, Yoo Pyo; Horn, Roger A. 10 1985 Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms. Zbl 0829.15016Horn, Roger A. 10 1995 When does \(A^*A=B^*B\) and why does one want to know? Zbl 0861.15011Horn, Roger A.; Olkin, Ingram 10 1996 A general setting for the parametric google matrix. Zbl 1146.65315Horn, Roger A.; Serra-Capizzano, Stefano 10 2006 On quadratic and bilinear forms in function theory. Zbl 0526.30036Fitzgerald, Carl H.; Horn, Roger A. 9 1982 On inequalities between Hermitian and symmetric forms. Zbl 0309.15013Horn, Roger A. 9 1975 On the reduction of a matrix to triangular or diagonal form by consimilarity. Zbl 0583.15006Hong Yoo Pyo; Horn, Roger A. 9 1986 The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix. Zbl 0712.15007Hong, Yoopyo; Horn, Roger A. 8 1991 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.) Zbl 0734.15002Horn, Roger A.; Johnson, Charles R. 8 1989 On the structure of Hermitian-symmetric inequalities. Zbl 0368.15014Fitzgerald, Carl H.; Horn, Roger A. 8 1977 On moment sequences and renewal sequences. Zbl 0175.16701Horn, R. A. 8 1970 Infinitely divisible positive definite sequences. Zbl 0177.05101Horn, R. A. 8 1969 Inequalities and equalities for the Cartesian decomposition of complex matrices. Zbl 0997.15015Cheng, Che-Man; Horn, Roger A.; Li, Chi-Kwong 8 2002 On multivariate infinitely divisible distributions. Zbl 0374.60017Horn, Roger A.; Steutel, F. W. 7 1978 On boundary values of a schlicht mapping. Zbl 0177.11001Horn, R. A. 7 1967 The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. Zbl 0943.15016Horn, Roger A.; Lopatin, Alexey K. 7 1999 Schlicht mappings and infinitely devisible kernels. Zbl 0203.07802Horn, R. A. 7 1971 Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem. Zbl 0285.43010Horn, Roger A. 7 1975 Solution of linear matrix equations in a *congruence class. Zbl 1092.15010Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi 6 2005 Comparison of estimators of heteroscedastic variances in linear models. Zbl 0321.62073Horn, Susan D.; Horn, Roger A. 6 1975 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 6 2011 An analog of the singular value decomposition for complex orthogonal equivalence. Zbl 0619.15010Choudhury, Dipa; Horn, Roger A. 5 1987 Two applications of the theory of primary matrix functions. Zbl 1032.15018Horn, Roger A.; Piepmeyer, Gregory G. 5 2003 On Fenchel’s theorem. Zbl 0209.24901Horn, R. A. 5 1971 Simultaneous unitary equivalences. Zbl 1281.65068Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 5 2013 Quasi-positive definite operators and matrices. Zbl 0654.15022Choudhury, Dipa; Horn, Roger A.; Pierce, Stephen J. 4 1988 Specht’s criterion for systems of linear mappings. Zbl 1358.15007Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2017 A second course in linear algebra. Zbl 1364.15001Garcia, Stephan Ramon; Horn, Roger A. 3 2017 Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. 3 2012 On necessary and sufficient conditions for an infinitely divisible distribution to be normal or degenerate. Zbl 0213.20402Horn, R. A. 3 1972 Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 3 2009 Normal approximants to binormal operators. Zbl 0728.15007Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad 2 1991 A complex orthogonal-symmetric analog of the polar decomposition. Zbl 0623.15006Choudhury, Dipa; Horn, Roger A. 2 1987 Inequalities for monotonic arrangements of eigenvalues. Zbl 0834.15009Cain, Bryan E.; Horn, Roger A.; Li, Luoluo 2 1995 Two applications of a bound on the Hadamard product with a Cauchy matrix. Zbl 0890.15020Horn, Roger A.; Kittaneh, Fuad 2 1998 Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 2 2018 The \(\psi_S\) polar decomposition. Zbl 1176.15016Horn, Roger A.; Merino, Dennis I.; Paras, Agnes T. 2 2009 Canonical forms for normal matrices that commute with their complex conjugate. Zbl 1162.15004Goodson, Geoffrey R.; Horn, Roger A. 2 2009 Explicit polar decomposition of complex matrices. Zbl 1190.15017Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano 2 2009 Quasi-real normal matrices and eigenvalue pairings. Zbl 1024.15005Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I. 2 2003 On the moments of complex measures. Zbl 0339.30030Horn, Roger A. 1 1977 Linear operators preserving \(t\)-congruence on matrices. Zbl 0767.15007Hong, Yoo-Pyo; Horn, Roger A.; Li, Chi-Kwong 1 1992 Linear operators preserving complex orthogonal equivalence on matrices. Zbl 0796.15002Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I. 1 1994 Distances between the graphs of matrices. Zbl 0861.05043Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I. 1 1996 Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries. Zbl 1025.15037Horn, Roger A. 1 2002 On certain power series and sequences. Zbl 0184.30102Horn, R. A. 1 1970 Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 1 2008 Rank of a Hadamard product. Zbl 1439.15007Horn, Roger A.; Yang, Zai 1 2020 Rank of a Hadamard product. Zbl 1439.15007Horn, Roger A.; Yang, Zai 1 2020 Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V. 2 2018 Specht’s criterion for systems of linear mappings. Zbl 1358.15007Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2017 A second course in linear algebra. Zbl 1364.15001Garcia, Stephan Ramon; Horn, Roger A. 3 2017 Matrix analysis. 2nd ed. Zbl 1267.15001Horn, Roger A.; Johnson, Charles R. 968 2013 Simultaneous unitary equivalences. Zbl 1281.65068Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 5 2013 A generalization of the complex Autonne-Takagi factorization to quaternion matrices. Zbl 1259.15018Horn, Roger A.; Zhang, Fuzhen 20 2012 Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V. 3 2012 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 6 2011 Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. Zbl 1191.15015Horn, Roger A.; Zhang, Fuzhen 14 2010 Canonical forms for unitary congruence and \(^*\)congruence. Zbl 1183.15010Horn, Roger A.; Sergeichuk, Vladimir V. 17 2009 Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V. 3 2009 The \(\psi_S\) polar decomposition. Zbl 1176.15016Horn, Roger A.; Merino, Dennis I.; Paras, Agnes T. 2 2009 Canonical forms for normal matrices that commute with their complex conjugate. Zbl 1162.15004Goodson, Geoffrey R.; Horn, Roger A. 2 2009 Explicit polar decomposition of complex matrices. Zbl 1190.15017Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano 2 2009 Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011Horn, Roger A.; Sergeichuk, Vladimir V. 32 2008 Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 1 2008 Canonical forms for complex matrix congruence and \(^{*}\)-congruence. Zbl 1098.15004Horn, Roger A.; Sergeichuk, Vladimir V. 45 2006 A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018Horn, Roger A.; Sergeichuk, Vladimir V. 18 2006 A general setting for the parametric google matrix. Zbl 1146.65315Horn, Roger A.; Serra-Capizzano, Stefano 10 2006 Solution of linear matrix equations in a *congruence class. Zbl 1092.15010Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi 6 2005 Congruences of a square matrix and its transpose. Zbl 1068.15007Horn, Roger A.; Sergeichuk, Vladimir V. 38 2004 Two applications of the theory of primary matrix functions. Zbl 1032.15018Horn, Roger A.; Piepmeyer, Gregory G. 5 2003 Quasi-real normal matrices and eigenvalue pairings. Zbl 1024.15005Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I. 2 2003 Inequalities and equalities for the Cartesian decomposition of complex matrices. Zbl 0997.15015Cheng, Che-Man; Horn, Roger A.; Li, Chi-Kwong 8 2002 Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries. Zbl 1025.15037Horn, Roger A. 1 2002 Inequalities for C-S seminorms and Lieb functions. Zbl 0932.15015Horn, Roger A.; Zhan, Xingzhi 15 1999 The Jordan canonical forms of complex orthogonal and skew-symmetric matrices. Zbl 0945.15010Horn, Roger A.; Merino, Dennis I. 11 1999 The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. Zbl 0943.15016Horn, Roger A.; Lopatin, Alexey K. 7 1999 Eigenvalue inequalities and equalities. Zbl 0890.15019Horn, Roger A.; Rhee, Noah H.; So, Wasin 11 1998 Two applications of a bound on the Hadamard product with a Cauchy matrix. Zbl 0890.15020Horn, Roger A.; Kittaneh, Fuad 2 1998 When does \(A^*A=B^*B\) and why does one want to know? Zbl 0861.15011Horn, Roger A.; Olkin, Ingram 10 1996 Distances between the graphs of matrices. Zbl 0861.05043Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I. 1 1996 Contragredient equivalence: A canonical form and some applications. Zbl 0817.15005Horn, Roger A.; Merino, Dennis I. 43 1995 Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms. Zbl 0829.15016Horn, Roger A. 10 1995 Inequalities for monotonic arrangements of eigenvalues. Zbl 0834.15009Cain, Bryan E.; Horn, Roger A.; Li, Luoluo 2 1995 Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001Horn, Roger A.; Johnson, Charles R. 366 1994 Linear operators preserving complex orthogonal equivalence on matrices. Zbl 0796.15002Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I. 1 1994 A real-coninvolutory analog of the polar decomposition. Zbl 0814.15011Horn, Roger A.; Merino, Dennis I. 14 1993 Block-matrix generalizations of Schur’s basic theorems on Hadamard products. Zbl 0770.15007Horn, Roger A.; Mathias, Roy 14 1992 Linear operators preserving \(t\)-congruence on matrices. Zbl 0767.15007Hong, Yoo-Pyo; Horn, Roger A.; Li, Chi-Kwong 1 1992 Topics in matrix analysis. Zbl 0729.15001Horn, Roger A.; Johnson, Charles R. 1,976 1991 Linear operators preserving certain equivalence relations on matrices. Zbl 0724.15007Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu 17 1991 Inequalities for unitarily invariant norms and bilinear matrix products. Zbl 0754.15015Horn, Roger A.; Mathias, Roy; Nakamura, Yoshihiro 16 1991 The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix. Zbl 0712.15007Hong, Yoopyo; Horn, Roger A. 8 1991 Normal approximants to binormal operators. Zbl 0728.15007Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad 2 1991 Matrix analysis. Reprinted with corrections. Zbl 0704.15002Horn, Roger A.; Johnson, Charles R. 986 1990 Cauchy-Schwarz inequalities associated with positive semidefinite matrices. Zbl 0714.15012Horn, Roger A.; Mathias, Roy 39 1990 An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. Zbl 0722.15019Horn, Roger A.; Mathias, Roy 16 1990 The Hadamard product. Zbl 0712.15011Horn, Roger A. 10 1990 A characterization of unitary congruence. Zbl 0682.15010Hong, Yoopyo; Horn, Roger A. 19 1989 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.) Zbl 0734.15002Horn, Roger A.; Johnson, Charles R. 8 1989 A canonical form for matrices under consimilarity. Zbl 0657.15008Hong, YooPyo; Horn, Roger A. 49 1988 Quasi-positive definite operators and matrices. Zbl 0654.15022Choudhury, Dipa; Horn, Roger A.; Pierce, Stephen J. 4 1988 The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011Ando, T.; Horn, Roger A.; Johnson, Charles R. 29 1987 Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017Horn, Roger A.; Johnson, Charles R. 18 1987 An analog of the singular value decomposition for complex orthogonal equivalence. Zbl 0619.15010Choudhury, Dipa; Horn, Roger A. 5 1987 A complex orthogonal-symmetric analog of the polar decomposition. Zbl 0623.15006Choudhury, Dipa; Horn, Roger A. 2 1987 On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R. 14 1986 On the reduction of a matrix to triangular or diagonal form by consimilarity. Zbl 0583.15006Hong Yoo Pyo; Horn, Roger A. 9 1986 Matrix analysis. Zbl 0576.15001Horn, Roger A.; Johnson, Charles R. 3,841 1985 On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences. Zbl 0568.15007Hong, Yoo Pyo; Horn, Roger A. 10 1985 On quadratic and bilinear forms in function theory. Zbl 0526.30036Fitzgerald, Carl H.; Horn, Roger A. 9 1982 On multivariate infinitely divisible distributions. Zbl 0374.60017Horn, Roger A.; Steutel, F. W. 7 1978 On fractional Hadamard powers of positive definite matrices. Zbl 0406.15006FitzGerald, Carl H.; Horn, Roger A. 41 1977 On the structure of Hermitian-symmetric inequalities. Zbl 0368.15014Fitzgerald, Carl H.; Horn, Roger A. 8 1977 On the moments of complex measures. Zbl 0339.30030Horn, Roger A. 1 1977 Estimating heteroscedastic variances in linear models. Zbl 0321.62075Horn, Susan D.; Horn, Roger A.; Duncan, David B. 42 1975 On inequalities between Hermitian and symmetric forms. Zbl 0309.15013Horn, Roger A. 9 1975 Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem. Zbl 0285.43010Horn, Roger A. 7 1975 Comparison of estimators of heteroscedastic variances in linear models. Zbl 0321.62073Horn, Susan D.; Horn, Roger A. 6 1975 On necessary and sufficient conditions for an infinitely divisible distribution to be normal or degenerate. Zbl 0213.20402Horn, R. A. 3 1972 Schlicht mappings and infinitely devisible kernels. Zbl 0203.07802Horn, R. A. 7 1971 On Fenchel’s theorem. Zbl 0209.24901Horn, R. A. 5 1971 On moment sequences and renewal sequences. Zbl 0175.16701Horn, R. A. 8 1970 On certain power series and sequences. Zbl 0184.30102Horn, R. A. 1 1970 The theory of infinitely divisible matrices and kernels. Zbl 0177.05003Horn, R. A. 46 1969 Infinitely divisible positive definite sequences. Zbl 0177.05101Horn, R. A. 8 1969 On infinitely divisible matrices, kernels, and functions. Zbl 0314.60017Horn, Roger A. 34 1967 On boundary values of a schlicht mapping. Zbl 0177.11001Horn, R. A. 7 1967 Primes represented by irreducible polynomials in one variable. Zbl 0136.32902Bateman, Paul T.; Horn, Roger A. 13 1965 A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302Bateman, P. T.; Horn, Roger A. 86 1962 all cited Publications top 5 cited Publications all top 5 Cited by 10,246 Authors 161 Johnson, Charles Royal 87 Li, Chi-Kwong 79 Ikramov, Saidkhakim Dododshanovich 49 Horn, Roger Alan 45 Huang, Ting-Zhu 42 Sergeichuk, Vladimir Vasil’evich 34 Cao, Jinde 34 Kirkland, Stephen J. 33 van den Driessche, Pauline 29 Tsatsomeros, Michael J. 29 Wei, Yimin 27 Merino, Dennis I. 26 Xu, Daoyi 25 Gau, Hwa-Long 25 Psarrakos, Panayiotis J. 24 Chen, Guanrong 24 Kittaneh, Fuad 24 Liu, Jianzhou 23 Wu, Peiyuan 22 Fallat, Shaun M. 21 Furtado, Susana 21 Garcia, Stephan Ramon 21 Li, Wen 21 Lu, Jianquan 21 Paras, Agnes T. 21 Spitkovsky, Ilya Matvey 21 Tam, Tin-Yau 21 Zhang, Fuzhen 20 Dopico, Froilán M. 20 Futorny, Vyacheslav M. 20 Rojo, Oscar L. 19 Bebiano, Natália Isabel Quadros 19 Chien, Mao-Ting 19 Nakazato, Hiroshi 18 Benzi, Michele 18 Cheng, Cheman 18 Hall, Frank J. 18 Mehrmann, Volker 18 Wu, Aiguo 17 De La Cruz, Ralph John Lamadrid 17 Higham, Nicholas J. 17 Poon, Yiu-Tung 17 Reichel, Lothar 17 Rodman, Leiba X. 17 Shorten, Robert N. 17 Sze, Nung-Sing 16 Bhatia, Rajendra 16 de Terán, Fernando 16 Drury, Stephen William 16 Simoncini, Valeria 15 Bapat, Ravindra Bhalchandra 15 Fan, Yizheng 15 Huhtanen, Marko 15 Khare, Apoorva 15 Lewkowicz, Izchak 15 Li, Hanyu 15 Li, Zhongshan 15 Lin, Minghua 15 Pérez, Teresa E. 15 Shader, Bryan L. 14 Benner, Peter 14 da Providência Santarém e Costa, João 14 Das, Kinkar Chandra 14 Guillot, Dominique 14 Hogben, Leslie 14 Jiang, Haijun 14 Mason, Oliver 14 Meng, Deyuan 14 Miyajima, Shinya 14 Neumann, Michael 14 Niezgoda, Marek 14 Piñar, Miguel A. 14 Smith, Ronald L. 13 Barrett, Wayne W. 13 da Fonseca, Carlos Martins 13 Elsner, Ludwig F. 13 Ganie, Hilal Ahmad 13 Guterman, Alexander Èmilevich 13 Kolotilina, Lily Yu. 13 Li, Rencang 13 Mehl, Christian 13 Menegatto, Valdir Antonio 13 Nikiforov, Vladimir S. 13 Nordström, Jan 13 Nylen, Peter M. 13 Olesky, D. Dale 13 Peña, Juan Manuel 13 Pirzada, Shariefuddin 13 Qi, Feng 13 Wang, Qingwen 13 Xu, Jianhong 13 Zhou, Bo 12 Duan, Guangren 12 Faßbender, Heike 12 Gowda, Muddappa Seetharama 12 Huang, Tingwen 12 Jin, Xiaoqing 12 Kim, Sejong 12 Liu, Muhuo 12 Mathias, Roy ...and 10,146 more Authors all top 5 Cited in 754 Serials 1,621 Linear Algebra and its Applications 270 Automatica 210 Linear and Multilinear Algebra 205 Applied Mathematics and Computation 154 Journal of Computational and Applied Mathematics 123 Journal of Mathematical Analysis and Applications 110 Journal of the Franklin Institute 101 Systems & Control Letters 101 SIAM Journal on Matrix Analysis and Applications 89 International Journal of Control 76 Computers & Mathematics with Applications 64 Journal of Mathematical Physics 60 Proceedings of the American Mathematical Society 59 Journal of Mathematical Sciences (New York) 56 Mathematics of Computation 52 Journal of Optimization Theory and Applications 50 Journal of Inequalities and Applications 48 Journal of Econometrics 48 Numerical Algorithms 48 Numerical Linear Algebra with Applications 48 ELA. The Electronic Journal of Linear Algebra 47 Discrete Mathematics 47 Journal of Multivariate Analysis 46 Applied Numerical Mathematics 45 Journal of Computational Physics 45 Mathematical Programming. Series A. Series B 43 Discrete Applied Mathematics 43 International Journal of Robust and Nonlinear Control 41 BIT 41 SIAM Journal on Scientific Computing 40 The Annals of Statistics 40 Statistics & Probability Letters 38 Transactions of the American Mathematical Society 37 Applied Mathematics Letters 37 Mathematical Problems in Engineering 36 Special Matrices 34 Numerische Mathematik 34 Applied and Computational Harmonic Analysis 33 International Journal of Systems Science. Principles and Applications of Systems and Integration 32 Physics Letters. A 31 Quantum Information Processing 30 Advances in Difference Equations 29 European Journal of Operational Research 28 Journal of Theoretical Probability 28 Automation and Remote Control 28 Nonlinear Dynamics 28 Abstract and Applied Analysis 27 Journal of Functional Analysis 27 Stochastic Processes and their Applications 27 Positivity 26 Journal of Statistical Planning and Inference 26 Neural Networks 26 International Journal of Computer Mathematics 25 Filomat 25 Journal of Applied Mathematics and Computing 24 Communications in Mathematical Physics 24 Physica A 24 Czechoslovak Mathematical Journal 24 Journal of Scientific Computing 24 Communications in Statistics. Theory and Methods 24 SIAM Journal on Optimization 23 Computer Methods in Applied Mechanics and Engineering 23 Chaos, Solitons and Fractals 23 Integral Equations and Operator Theory 23 Computational Optimization and Applications 22 Journal of Differential Equations 22 SIAM Journal on Control and Optimization 22 Mathematical and Computer Modelling 22 Journal of Global Optimization 22 Doklady Mathematics 21 The Annals of Probability 21 Journal of Algebra 21 Journal of Approximation Theory 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Chaos 21 Journal of Systems Science and Complexity 21 Journal of Applied Mathematics 20 Journal of Mathematical Biology 20 Mathematical Notes 20 Physica D 20 Signal Processing 20 Optimization Methods & Software 19 International Journal of Systems Science 19 Rocky Mountain Journal of Mathematics 19 The Annals of Applied Probability 19 Computational Statistics and Data Analysis 18 Advances in Mathematics 18 Bernoulli 18 Differential Equations 18 Electronic Journal of Statistics 18 Random Matrices: Theory and Applications 17 Journal of Statistical Physics 17 Journal of Number Theory 17 Complexity 17 Journal of Machine Learning Research (JMLR) 16 Mathematical Biosciences 16 Fuzzy Sets and Systems 16 Probability Theory and Related Fields 16 Computational Mathematics and Mathematical Physics 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 654 more Serials all top 5 Cited in 62 Fields 3,156 Linear and multilinear algebra; matrix theory (15-XX) 1,486 Numerical analysis (65-XX) 1,173 Systems theory; control (93-XX) 908 Combinatorics (05-XX) 628 Operations research, mathematical programming (90-XX) 598 Statistics (62-XX) 584 Probability theory and stochastic processes (60-XX) 580 Operator theory (47-XX) 476 Computer science (68-XX) 440 Ordinary differential equations (34-XX) 321 Biology and other natural sciences (92-XX) 301 Information and communication theory, circuits (94-XX) 295 Partial differential equations (35-XX) 275 Quantum theory (81-XX) 242 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 234 Number theory (11-XX) 216 Dynamical systems and ergodic theory (37-XX) 182 Harmonic analysis on Euclidean spaces (42-XX) 163 Functional analysis (46-XX) 158 Calculus of variations and optimal control; optimization (49-XX) 129 Real functions (26-XX) 117 Statistical mechanics, structure of matter (82-XX) 108 Functions of a complex variable (30-XX) 106 Special functions (33-XX) 98 Difference and functional equations (39-XX) 90 Fluid mechanics (76-XX) 79 Approximations and expansions (41-XX) 74 Associative rings and algebras (16-XX) 74 Group theory and generalizations (20-XX) 72 Mechanics of deformable solids (74-XX) 69 Differential geometry (53-XX) 68 Algebraic geometry (14-XX) 66 Convex and discrete geometry (52-XX) 61 Mechanics of particles and systems (70-XX) 58 Nonassociative rings and algebras (17-XX) 46 Several complex variables and analytic spaces (32-XX) 43 Integral transforms, operational calculus (44-XX) 41 Commutative algebra (13-XX) 41 Geometry (51-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Field theory and polynomials (12-XX) 34 Abstract harmonic analysis (43-XX) 33 Topological groups, Lie groups (22-XX) 33 Measure and integration (28-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 30 Integral equations (45-XX) 28 Optics, electromagnetic theory (78-XX) 23 Manifolds and cell complexes (57-XX) 22 Geophysics (86-XX) 15 Relativity and gravitational theory (83-XX) 14 General topology (54-XX) 13 Potential theory (31-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 General and overarching topics; collections (00-XX) 10 Mathematical logic and foundations (03-XX) 7 Category theory; homological algebra (18-XX) 6 History and biography (01-XX) 5 Sequences, series, summability (40-XX) 4 Algebraic topology (55-XX) 4 Mathematics education (97-XX) 2 General algebraic systems (08-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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