Horn, Roger Alan

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 Author ID: horn.roger-a Published as: Horn, Roger A.; Horn, R. A.; Horn, Roger External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp
 Documents Indexed: 90 Publications since 1962, including 7 Books 4 Contributions as Editor Co-Authors: 55 Co-Authors with 78 Joint Publications 2,003 Co-Co-Authors
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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
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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
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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)

Citations contained in zbMATH Open

82 Publications have been cited 8,726 times in 7,770 Documents Cited by Year
Matrix analysis. Zbl 0576.15001
Horn, Roger A.; Johnson, Charles R.
1985
Topics in matrix analysis. Zbl 0729.15001
Horn, Roger A.; Johnson, Charles R.
1991
Matrix analysis. Reprinted with corrections. Zbl 0704.15002
Horn, Roger A.; Johnson, Charles R.
1990
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
2013
Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001
Horn, Roger A.; Johnson, Charles R.
1994
A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302
Bateman, P. T.; Horn, Roger A.
1962
A canonical form for matrices under consimilarity. Zbl 0657.15008
Hong, YooPyo; Horn, Roger A.
1988
Canonical forms for complex matrix congruence and $$^{*}$$-congruence. Zbl 1098.15004
Horn, Roger A.; Sergeichuk, Vladimir V.
2006
The theory of infinitely divisible matrices and kernels. Zbl 0177.05003
Horn, R. A.
1969
Estimating heteroscedastic variances in linear models. Zbl 0321.62075
Horn, Susan D.; Horn, Roger A.; Duncan, David B.
1975
Contragredient equivalence: A canonical form and some applications. Zbl 0817.15005
Horn, Roger A.; Merino, Dennis I.
1995
Cauchy-Schwarz inequalities associated with positive semidefinite matrices. Zbl 0714.15012
Horn, Roger A.; Mathias, Roy
1990
Congruences of a square matrix and its transpose. Zbl 1068.15007
Horn, Roger A.; Sergeichuk, Vladimir V.
2004
On fractional Hadamard powers of positive definite matrices. Zbl 0406.15006
FitzGerald, Carl H.; Horn, Roger A.
1977
On infinitely divisible matrices, kernels, and functions. Zbl 0314.60017
Horn, Roger A.
1967
Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011
Horn, Roger A.; Sergeichuk, Vladimir V.
2008
The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011
Ando, T.; Horn, Roger A.; Johnson, Charles R.
1987
A generalization of the complex Autonne-Takagi factorization to quaternion matrices. Zbl 1259.15018
Horn, Roger A.; Zhang, Fuzhen
2012
A characterization of unitary congruence. Zbl 0682.15010
Hong, Yoopyo; Horn, Roger A.
1989
A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018
Horn, Roger A.; Sergeichuk, Vladimir V.
2006
Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017
Horn, Roger A.; Johnson, Charles R.
1987
Linear operators preserving certain equivalence relations on matrices. Zbl 0724.15007
Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Canonical forms for unitary congruence and $$^*$$congruence. Zbl 1183.15010
Horn, Roger A.; Sergeichuk, Vladimir V.
2009
An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. Zbl 0722.15019
Horn, Roger A.; Mathias, Roy
1990
Inequalities for unitarily invariant norms and bilinear matrix products. Zbl 0754.15015
Horn, Roger A.; Mathias, Roy; Nakamura, Yoshihiro
1991
Inequalities for C-S seminorms and Lieb functions. Zbl 0932.15015
Horn, Roger A.; Zhan, Xingzhi
1999
On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005
Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R.
1986
A real-coninvolutory analog of the polar decomposition. Zbl 0814.15011
Horn, Roger A.; Merino, Dennis I.
1993
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. Zbl 1191.15015
Horn, Roger A.; Zhang, Fuzhen
2010
Primes represented by irreducible polynomials in one variable. Zbl 0136.32902
Bateman, Paul T.; Horn, Roger A.
1965
Block-matrix generalizations of Schur’s basic theorems on Hadamard products. Zbl 0770.15007
Horn, Roger A.; Mathias, Roy
1992
Eigenvalue inequalities and equalities. Zbl 0890.15019
Horn, Roger A.; Rhee, Noah H.; So, Wasin
1998
Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms. Zbl 0829.15016
Horn, Roger A.
1995
When does $$A^*A=B^*B$$ and why does one want to know? Zbl 0861.15011
Horn, Roger A.; Olkin, Ingram
1996
The Hadamard product. Zbl 0712.15011
Horn, Roger A.
1990
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 0734.15002
Horn, Roger A.; Johnson, Charles R.
1989
On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences. Zbl 0568.15007
Hong, Yoo Pyo; Horn, Roger A.
1985
A general setting for the parametric google matrix. Zbl 1146.65315
Horn, Roger A.; Serra-Capizzano, Stefano
2006
The Jordan canonical forms of complex orthogonal and skew-symmetric matrices. Zbl 0945.15010
Horn, Roger A.; Merino, Dennis I.
1999
On inequalities between Hermitian and symmetric forms. Zbl 0309.15013
Horn, Roger A.
1975
On the reduction of a matrix to triangular or diagonal form by consimilarity. Zbl 0583.15006
Hong Yoo Pyo; Horn, Roger A.
1986
On quadratic and bilinear forms in function theory. Zbl 0526.30036
Fitzgerald, Carl H.; Horn, Roger A.
1982
Inequalities and equalities for the Cartesian decomposition of complex matrices. Zbl 0997.15015
Cheng, Che-Man; Horn, Roger A.; Li, Chi-Kwong
2002
On the structure of Hermitian-symmetric inequalities. Zbl 0368.15014
Fitzgerald, Carl H.; Horn, Roger A.
1977
On moment sequences and renewal sequences. Zbl 0175.16701
Horn, R. A.
1970
The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix. Zbl 0712.15007
Hong, Yoopyo; Horn, Roger A.
1991
Infinitely divisible positive definite sequences. Zbl 0177.05101
Horn, R. A.
1969
On boundary values of a schlicht mapping. Zbl 0177.11001
Horn, R. A.
1967
Schlicht mappings and infinitely devisible kernels. Zbl 0203.07802
Horn, R. A.
1971
Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem. Zbl 0285.43010
Horn, Roger A.
1975
On multivariate infinitely divisible distributions. Zbl 0374.60017
Horn, Roger A.; Steutel, F. W.
1978
Solution of linear matrix equations in a *congruence class. Zbl 1092.15010
Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi
2005
A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2011
The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. Zbl 0943.15016
Horn, Roger A.; Lopatin, Alexey K.
1999
Simultaneous unitary equivalences. Zbl 1281.65068
Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V.
2013
Comparison of estimators of heteroscedastic variances in linear models. Zbl 0321.62073
Horn, Susan D.; Horn, Roger A.
1975
On Fenchel’s theorem. Zbl 0209.24901
Horn, R. A.
1971
An analog of the singular value decomposition for complex orthogonal equivalence. Zbl 0619.15010
Choudhury, Dipa; Horn, Roger A.
1987
Two applications of the theory of primary matrix functions. Zbl 1032.15018
Horn, Roger A.; Piepmeyer, Gregory G.
2003
Quasi-positive definite operators and matrices. Zbl 0654.15022
Choudhury, Dipa; Horn, Roger A.; Pierce, Stephen J.
1988
Specht’s criterion for systems of linear mappings. Zbl 1358.15007
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2017
Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004
Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V.
2012
Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014
Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V.
2009
A second course in linear algebra. Zbl 1364.15001
Garcia, Stephan Ramon; Horn, Roger A.
2017
Two applications of a bound on the Hadamard product with a Cauchy matrix. Zbl 0890.15020
Horn, Roger A.; Kittaneh, Fuad
1998
Quasi-real normal matrices and eigenvalue pairings. Zbl 1024.15005
Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I.
2003
Inequalities for monotonic arrangements of eigenvalues. Zbl 0834.15009
Cain, Bryan E.; Horn, Roger A.; Li, Luoluo
1995
A complex orthogonal-symmetric analog of the polar decomposition. Zbl 0623.15006
Choudhury, Dipa; Horn, Roger A.
1987
The $$\psi_S$$ polar decomposition. Zbl 1176.15016
Horn, Roger A.; Merino, Dennis I.; Paras, Agnes T.
2009
On necessary and sufficient conditions for an infinitely divisible distribution to be normal or degenerate. Zbl 0213.20402
Horn, R. A.
1972
Normal approximants to binormal operators. Zbl 0728.15007
Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad
1991
Canonical forms for normal matrices that commute with their complex conjugate. Zbl 1162.15004
Goodson, Geoffrey R.; Horn, Roger A.
2009
Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005
Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V.
2018
Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries. Zbl 1025.15037
Horn, Roger A.
2002
Distances between the graphs of matrices. Zbl 0861.05043
Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I.
1996
On the moments of complex measures. Zbl 0339.30030
Horn, Roger A.
1977
On certain power series and sequences. Zbl 0184.30102
Horn, R. A.
1970
Linear operators preserving $$t$$-congruence on matrices. Zbl 0767.15007
Hong, Yoo-Pyo; Horn, Roger A.; Li, Chi-Kwong
1992
Linear operators preserving complex orthogonal equivalence on matrices. Zbl 0796.15002
Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I.
1994
Explicit polar decomposition of complex matrices. Zbl 1190.15017
Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano
2009
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2008
Rank of a Hadamard product. Zbl 1439.15007
Horn, Roger A.; Yang, Zai
2020
Rank of a Hadamard product. Zbl 1439.15007
Horn, Roger A.; Yang, Zai
2020
Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence. Zbl 1376.15005
Bovdi, Victor A.; Horn, Roger A.; Salim, Mohamed A.; Sergeichuk, Vladimir V.
2018
Specht’s criterion for systems of linear mappings. Zbl 1358.15007
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2017
A second course in linear algebra. Zbl 1364.15001
Garcia, Stephan Ramon; Horn, Roger A.
2017
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
2013
Simultaneous unitary equivalences. Zbl 1281.65068
Gerasimova, Tatiana G.; Horn, Roger A.; Sergeichuk, Vladimir V.
2013
A generalization of the complex Autonne-Takagi factorization to quaternion matrices. Zbl 1259.15018
Horn, Roger A.; Zhang, Fuzhen
2012
Remarks on the classification of a pair of commuting semilinear operators. Zbl 1260.15004
Duarte de Oliveira, Debora; Horn, Roger A.; Klimchuk, Tatiana; Sergeichuk, Vladimir V.
2012
A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2011
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. Zbl 1191.15015
Horn, Roger A.; Zhang, Fuzhen
2010
Canonical forms for unitary congruence and $$^*$$congruence. Zbl 1183.15010
Horn, Roger A.; Sergeichuk, Vladimir V.
2009
Matrices that are self-congruent only via matrices of determinant one. Zbl 1176.15014
Gerasimova, Tatyana G.; Horn, Roger A.; Sergeichuk, Vladimir V.
2009
The $$\psi_S$$ polar decomposition. Zbl 1176.15016
Horn, Roger A.; Merino, Dennis I.; Paras, Agnes T.
2009
Canonical forms for normal matrices that commute with their complex conjugate. Zbl 1162.15004
Goodson, Geoffrey R.; Horn, Roger A.
2009
Explicit polar decomposition of complex matrices. Zbl 1190.15017
Horn, Roger A.; Piazza, Giuseppe; Politi, Tiziano
2009
Canonical matrices of bilinear and sesquilinear forms. Zbl 1141.15011
Horn, Roger A.; Sergeichuk, Vladimir V.
2008
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002
Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V.
2008
Canonical forms for complex matrix congruence and $$^{*}$$-congruence. Zbl 1098.15004
Horn, Roger A.; Sergeichuk, Vladimir V.
2006
A regularization algorithm for matrices of bilinear and sesquilinear forms. Zbl 1090.15018
Horn, Roger A.; Sergeichuk, Vladimir V.
2006
A general setting for the parametric google matrix. Zbl 1146.65315
Horn, Roger A.; Serra-Capizzano, Stefano
2006
Solution of linear matrix equations in a *congruence class. Zbl 1092.15010
Horn, Roger A.; Sergeichuk, Vladimir V.; Shaked-Monderer, Naomi
2005
Congruences of a square matrix and its transpose. Zbl 1068.15007
Horn, Roger A.; Sergeichuk, Vladimir V.
2004
Two applications of the theory of primary matrix functions. Zbl 1032.15018
Horn, Roger A.; Piepmeyer, Gregory G.
2003
Quasi-real normal matrices and eigenvalue pairings. Zbl 1024.15005
Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I.
2003
Inequalities and equalities for the Cartesian decomposition of complex matrices. Zbl 0997.15015
Cheng, Che-Man; Horn, Roger A.; Li, Chi-Kwong
2002
Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries. Zbl 1025.15037
Horn, Roger A.
2002
Inequalities for C-S seminorms and Lieb functions. Zbl 0932.15015
Horn, Roger A.; Zhan, Xingzhi
1999
The Jordan canonical forms of complex orthogonal and skew-symmetric matrices. Zbl 0945.15010
Horn, Roger A.; Merino, Dennis I.
1999
The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability. Zbl 0943.15016
Horn, Roger A.; Lopatin, Alexey K.
1999
Eigenvalue inequalities and equalities. Zbl 0890.15019
Horn, Roger A.; Rhee, Noah H.; So, Wasin
1998
Two applications of a bound on the Hadamard product with a Cauchy matrix. Zbl 0890.15020
Horn, Roger A.; Kittaneh, Fuad
1998
When does $$A^*A=B^*B$$ and why does one want to know? Zbl 0861.15011
Horn, Roger A.; Olkin, Ingram
1996
Distances between the graphs of matrices. Zbl 0861.05043
Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I.
1996
Contragredient equivalence: A canonical form and some applications. Zbl 0817.15005
Horn, Roger A.; Merino, Dennis I.
1995
Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms. Zbl 0829.15016
Horn, Roger A.
1995
Inequalities for monotonic arrangements of eigenvalues. Zbl 0834.15009
Cain, Bryan E.; Horn, Roger A.; Li, Luoluo
1995
Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001
Horn, Roger A.; Johnson, Charles R.
1994
Linear operators preserving complex orthogonal equivalence on matrices. Zbl 0796.15002
Horn, Roger A.; Li, Chi-Kwong; Merino, Dennis I.
1994
A real-coninvolutory analog of the polar decomposition. Zbl 0814.15011
Horn, Roger A.; Merino, Dennis I.
1993
Block-matrix generalizations of Schur’s basic theorems on Hadamard products. Zbl 0770.15007
Horn, Roger A.; Mathias, Roy
1992
Linear operators preserving $$t$$-congruence on matrices. Zbl 0767.15007
Hong, Yoo-Pyo; Horn, Roger A.; Li, Chi-Kwong
1992
Topics in matrix analysis. Zbl 0729.15001
Horn, Roger A.; Johnson, Charles R.
1991
Linear operators preserving certain equivalence relations on matrices. Zbl 0724.15007
Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Inequalities for unitarily invariant norms and bilinear matrix products. Zbl 0754.15015
Horn, Roger A.; Mathias, Roy; Nakamura, Yoshihiro
1991
The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix. Zbl 0712.15007
Hong, Yoopyo; Horn, Roger A.
1991
Normal approximants to binormal operators. Zbl 0728.15007
Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad
1991
Matrix analysis. Reprinted with corrections. Zbl 0704.15002
Horn, Roger A.; Johnson, Charles R.
1990
Cauchy-Schwarz inequalities associated with positive semidefinite matrices. Zbl 0714.15012
Horn, Roger A.; Mathias, Roy
1990
An analog of the Cauchy-Schwarz inequality for Hadamard products and unitarily invariant norms. Zbl 0722.15019
Horn, Roger A.; Mathias, Roy
1990
The Hadamard product. Zbl 0712.15011
Horn, Roger A.
1990
A characterization of unitary congruence. Zbl 0682.15010
Hong, Yoopyo; Horn, Roger A.
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 0734.15002
Horn, Roger A.; Johnson, Charles R.
1989
A canonical form for matrices under consimilarity. Zbl 0657.15008
Hong, YooPyo; Horn, Roger A.
1988
Quasi-positive definite operators and matrices. Zbl 0654.15022
Choudhury, Dipa; Horn, Roger A.; Pierce, Stephen J.
1988
The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011
Ando, T.; Horn, Roger A.; Johnson, Charles R.
1987
Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017
Horn, Roger A.; Johnson, Charles R.
1987
An analog of the singular value decomposition for complex orthogonal equivalence. Zbl 0619.15010
Choudhury, Dipa; Horn, Roger A.
1987
A complex orthogonal-symmetric analog of the polar decomposition. Zbl 0623.15006
Choudhury, Dipa; Horn, Roger A.
1987
On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005
Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R.
1986
On the reduction of a matrix to triangular or diagonal form by consimilarity. Zbl 0583.15006
Hong Yoo Pyo; Horn, Roger A.
1986
Matrix analysis. Zbl 0576.15001
Horn, Roger A.; Johnson, Charles R.
1985
On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences. Zbl 0568.15007
Hong, Yoo Pyo; Horn, Roger A.
1985
On quadratic and bilinear forms in function theory. Zbl 0526.30036
Fitzgerald, Carl H.; Horn, Roger A.
1982
On multivariate infinitely divisible distributions. Zbl 0374.60017
Horn, Roger A.; Steutel, F. W.
1978
On fractional Hadamard powers of positive definite matrices. Zbl 0406.15006
FitzGerald, Carl H.; Horn, Roger A.
1977
On the structure of Hermitian-symmetric inequalities. Zbl 0368.15014
Fitzgerald, Carl H.; Horn, Roger A.
1977
On the moments of complex measures. Zbl 0339.30030
Horn, Roger A.
1977
Estimating heteroscedastic variances in linear models. Zbl 0321.62075
Horn, Susan D.; Horn, Roger A.; Duncan, David B.
1975
On inequalities between Hermitian and symmetric forms. Zbl 0309.15013
Horn, Roger A.
1975
Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem. Zbl 0285.43010
Horn, Roger A.
1975
Comparison of estimators of heteroscedastic variances in linear models. Zbl 0321.62073
Horn, Susan D.; Horn, Roger A.
1975
On necessary and sufficient conditions for an infinitely divisible distribution to be normal or degenerate. Zbl 0213.20402
Horn, R. A.
1972
Schlicht mappings and infinitely devisible kernels. Zbl 0203.07802
Horn, R. A.
1971
On Fenchel’s theorem. Zbl 0209.24901
Horn, R. A.
1971
On moment sequences and renewal sequences. Zbl 0175.16701
Horn, R. A.
1970
On certain power series and sequences. Zbl 0184.30102
Horn, R. A.
1970
The theory of infinitely divisible matrices and kernels. Zbl 0177.05003
Horn, R. A.
1969
Infinitely divisible positive definite sequences. Zbl 0177.05101
Horn, R. A.
1969
On infinitely divisible matrices, kernels, and functions. Zbl 0314.60017
Horn, Roger A.
1967
On boundary values of a schlicht mapping. Zbl 0177.11001
Horn, R. A.
1967
Primes represented by irreducible polynomials in one variable. Zbl 0136.32902
Bateman, Paul T.; Horn, Roger A.
1965
A heuristic asymptotic formula concerning the distribution of prime numbers. Zbl 0105.03302
Bateman, P. T.; Horn, Roger A.
1962
all top 5

Cited by 9,715 Authors

 158 Johnson, Charles Royal 84 Li, Chi-Kwong 76 Ikramov, Saidkhakim Dododshanovich 49 Horn, Roger Alan 45 Huang, Ting-Zhu 41 Sergeichuk, Vladimir Vasil’evich 34 Kirkland, Stephen J. 33 Cao, Jinde 29 Tsatsomeros, Michael J. 29 van den Driessche, Pauline 29 Wei, Yimin 27 Merino, Dennis I. 26 Xu, Daoyi 24 Chen, Guanrong 24 Gau, Hwa-Long 24 Psarrakos, Panayiotis J. 23 Kittaneh, Fuad 23 Liu, Jianzhou 22 Wu, Peiyuan 21 Fallat, Shaun M. 21 Paras, Agnes T. 21 Tam, Tin-Yau 21 Zhang, Fuzhen 20 Furtado, Susana 20 Garcia, Stephan Ramon 20 Rojo, Oscar L. 20 Spitkovsky, Ilya Matvey 19 Chien, Mao-Ting 19 Dopico, Froilán M. 19 Futorny, Vyacheslav M. 19 Nakazato, Hiroshi 18 Bebiano, Natália Isabel Quadros 18 Benzi, Michele 18 Wu, Aiguo 17 Hall, Frank J. 17 Higham, Nicholas J. 17 Lu, Jianquan 17 Reichel, Lothar 17 Rodman, Leiba X. 17 Shorten, Robert N. 17 Sze, Nung-Sing 16 Cheng, Cheman 16 De La Cruz, Ralph John Lamadrid 16 Drury, Stephen William 16 Mehrmann, Volker 16 Simoncini, Valeria 15 Bapat, Ravindra Bhalchandra 15 Bhatia, Rajendra 15 de Terán, Fernando 15 Fan, Yizheng 15 Huhtanen, Marko 15 Lewkowicz, Izchak 15 Li, Hanyu 15 Li, Wen 15 Poon, Yiu-Tung 14 Benner, Peter 14 da Providência Santarém e Costa, João 14 Hogben, Leslie 14 Jiang, Haijun 14 Li, Zhongshan 14 Lin, Minghua 14 Mason, Oliver 14 Neumann, Michael 14 Niezgoda, Marek 14 Pérez, Teresa E. 14 Piñar, Miguel A. 14 Shader, Bryan L. 14 Smith, Ronald L. 13 da Fonseca, Carlos Martins 13 Elsner, Ludwig F. 13 Khare, Apoorva 13 Kolotilina, Lily Yu. 13 Meng, Deyuan 13 Miyajima, Shinya 13 Nikiforov, Vladimir S. 13 Nordström, Jan 13 Nylen, Peter M. 13 Peña, Juan Manuel 13 Qi, Feng 13 Xu, Jianhong 12 Barrett, Wayne W. 12 Duan, Guangren 12 Faßbender, Heike 12 Gowda, Muddappa Seetharama 12 Guillot, Dominique 12 Guterman, Alexander Èmilevich 12 Huang, Tingwen 12 Jin, Xiaoqing 12 Liu, Muhuo 12 Mathias, Roy 12 Mehl, Christian 12 Menegatto, Valdir Antonio 12 Narayan, Sivaram K. 12 Olesky, D. Dale 12 Saiago, Carlos M. 12 Serra-Capizzano, Stefano 12 Tsing, Nam-Kiu 12 Wang, Qingwen 12 Zhou, Bo 11 Cardoso, João R. ...and 9,615 more Authors
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Cited in 727 Serials

 1,573 Linear Algebra and its Applications 242 Automatica 207 Linear and Multilinear Algebra 201 Applied Mathematics and Computation 152 Journal of Computational and Applied Mathematics 119 Journal of Mathematical Analysis and Applications 105 Journal of the Franklin Institute 99 Systems & Control Letters 96 SIAM Journal on Matrix Analysis and Applications 88 International Journal of Control 73 Computers & Mathematics with Applications 60 Journal of Mathematical Physics 59 Proceedings of the American Mathematical Society 59 Journal of Mathematical Sciences (New York) 54 Mathematics of Computation 51 Journal of Optimization Theory and Applications 50 Journal of Inequalities and Applications 48 Numerical Linear Algebra with Applications 47 Journal of Econometrics 46 ELA. The Electronic Journal of Linear Algebra 45 Journal of Computational Physics 45 Journal of Multivariate Analysis 45 Applied Numerical Mathematics 44 Numerical Algorithms 44 Mathematical Programming. Series A. Series B 43 Discrete Mathematics 43 International Journal of Robust and Nonlinear Control 41 BIT 40 The Annals of Statistics 39 Discrete Applied Mathematics 39 SIAM Journal on Scientific Computing 38 Statistics & Probability Letters 37 Transactions of the American Mathematical Society 37 Mathematical Problems in Engineering 36 Applied Mathematics Letters 33 Numerische Mathematik 33 Applied and Computational Harmonic Analysis 33 Special Matrices 32 Physics Letters. A 32 International Journal of Systems Science. Principles and Applications of Systems and Integration 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 Positivity 26 Journal of Statistical Planning and Inference 26 Neural Networks 26 International Journal of Computer Mathematics 26 Advances in Difference Equations 23 Communications in Mathematical Physics 23 Computer Methods in Applied Mechanics and Engineering 23 Chaos, Solitons and Fractals 23 Czechoslovak Mathematical Journal 23 Integral Equations and Operator Theory 23 Communications in Statistics. Theory and Methods 23 Stochastic Processes and their Applications 23 SIAM Journal on Optimization 23 Computational Optimization and Applications 22 Journal of Differential Equations 22 Mathematical and Computer Modelling 22 Journal of Global Optimization 22 Doklady Mathematics 22 Quantum Information Processing 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 SIAM Journal on Control and Optimization 21 Chaos 21 Journal of Systems Science and Complexity 21 Journal of Applied Mathematics 21 Journal of Applied Mathematics and Computing 20 Mathematical Notes 20 Physica D 20 Journal of Scientific Computing 20 Signal Processing 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 Bernoulli 18 Differential Equations 18 Electronic Journal of Statistics 17 Journal of Mathematical Biology 17 Journal of Statistical Physics 17 Probability Theory and Related Fields 17 Complexity 17 Journal of Machine Learning Research (JMLR) 16 Mathematical Biosciences 16 Advances in Mathematics 16 Fuzzy Sets and Systems 16 Journal of Number Theory 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Optimization Methods & Software 16 Acta Mathematica Sinica. English Series 16 Random Matrices: Theory and Applications 15 Journal of Economic Theory 15 Operations Research Letters ...and 627 more Serials
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Cited in 61 Fields

 2,998 Linear and multilinear algebra; matrix theory (15-XX) 1,424 Numerical analysis (65-XX) 1,134 Systems theory; control (93-XX) 857 Combinatorics (05-XX) 597 Operations research, mathematical programming (90-XX) 562 Statistics (62-XX) 559 Probability theory and stochastic processes (60-XX) 548 Operator theory (47-XX) 463 Computer science (68-XX) 427 Ordinary differential equations (34-XX) 308 Biology and other natural sciences (92-XX) 292 Information and communication theory, circuits (94-XX) 274 Partial differential equations (35-XX) 244 Quantum theory (81-XX) 226 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 221 Number theory (11-XX) 210 Dynamical systems and ergodic theory (37-XX) 171 Harmonic analysis on Euclidean spaces (42-XX) 155 Functional analysis (46-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 123 Real functions (26-XX) 102 Special functions (33-XX) 101 Functions of a complex variable (30-XX) 100 Statistical mechanics, structure of matter (82-XX) 94 Difference and functional equations (39-XX) 84 Fluid mechanics (76-XX) 76 Approximations and expansions (41-XX) 72 Associative rings and algebras (16-XX) 71 Group theory and generalizations (20-XX) 70 Mechanics of deformable solids (74-XX) 67 Differential geometry (53-XX) 63 Algebraic geometry (14-XX) 62 Convex and discrete geometry (52-XX) 58 Mechanics of particles and systems (70-XX) 55 Nonassociative rings and algebras (17-XX) 41 Several complex variables and analytic spaces (32-XX) 40 Commutative algebra (13-XX) 37 Integral transforms, operational calculus (44-XX) 36 Field theory and polynomials (12-XX) 36 Global analysis, analysis on manifolds (58-XX) 35 Geometry (51-XX) 34 Abstract harmonic analysis (43-XX) 32 Topological groups, Lie groups (22-XX) 30 Order, lattices, ordered algebraic structures (06-XX) 29 Measure and integration (28-XX) 29 Integral equations (45-XX) 26 Optics, electromagnetic theory (78-XX) 22 Manifolds and cell complexes (57-XX) 21 Geophysics (86-XX) 15 Relativity and gravitational theory (83-XX) 14 General topology (54-XX) 12 General and overarching topics; collections (00-XX) 12 Potential theory (31-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Mathematical logic and foundations (03-XX) 6 Category theory; homological algebra (18-XX) 5 History and biography (01-XX) 4 Sequences, series, summability (40-XX) 4 Mathematics education (97-XX) 3 Algebraic topology (55-XX) 2 General algebraic systems (08-XX)

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