Edit Profile (opens in new tab) Thompson, Robert C. (b. 1931 d. 1995) Co-Author Distance Author ID: thompson.robert-c Published as: Thompson, Robert C.; Thompson, R. C.; Thompson, R. more...less External Links: MacTutor · MGP Documents Indexed: 135 Publications since 1957, including 2 Books 1 Contribution as Editor Reviewing Activity: 38 Reviews Biographic References: 4 Publications Co-Authors: 16 Co-Authors with 36 Joint Publications 213 Co-Co-Authors all top 5 Co-Authors 90 single-authored 7 So, Wasin 7 Therianos, S. 5 Newman, Morris 3 Freede, Linda J. 3 Marcus, Marvin D. 3 Miranda, Hector F. 3 Schmitt, Klaus 2 Day, Jane Maxwell 2 Garbanati, Dennis A. 2 Patterson, H. D. 2 Walter, Wolfgang 1 Baker, R. J. 1 Cooper, David M. L. 1 Freede Garbanati, Linda 1 Gaines, Fergus J. 1 Gordon, Z. 1 Hill, William George 1 Li Santi, Barbara A. 1 McEnteggert, P. 1 Tung Kuo, Chi-Chin 1 Yaqub, Adil 1 Zhang, Fuzhen all top 5 Serials 35 Linear Algebra and its Applications 24 Linear and Multilinear Algebra 9 Pacific Journal of Mathematics 5 Journal of Research of the National Bureau of Standards 4 Canadian Journal of Mathematics 4 Canadian Mathematical Bulletin 3 Houston Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Scripta Mathematica 2 Bulletin of the Australian Mathematical Society 2 Biometrics 2 Biometrika 2 Aequationes Mathematicae 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Commentationes Mathematicae Universitatis Carolinae 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Portugaliae Mathematica 1 Technometrics 1 Transactions of the American Mathematical Society 1 Journal of the Royal Statistical Society. Series C 1 SIAM Journal on Matrix Analysis and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematics and Mechanics 1 Proceedings of the Glasgow Mathematical Association 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 98 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Sequences, series, summability (40-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 1,197 times in 848 Documents Cited by ▼ Year ▼ Recovery of inter-block information when block sizes are unequal. Zbl 0228.62046 Patterson, H. D.; Thompson, R. 262 1971 Interlacing inequalities for invariant factors. Zbl 0395.15003 Thompson, R. C. 113 1979 Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007 Thompson, Robert C. 109 1991 Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009 Thompson, R. C. 68 1972 Singular values, diagonal elements, and convexity. Zbl 0361.15009 Thompson, R. C. 61 1977 Commutators in the special and general linear groups. Zbl 0109.26002 Thompson, R. C. 52 1961 The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007 Thompson, R. C. 46 1976 The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011 Thompson, R. C. 42 1976 Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081 Schmitt, K.; Thompson, R. 40 1975 Convex and concave functions of singular values of matrix sums. Zbl 0361.15014 Thompson, R. C. 35 1976 On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005 Thompson, Robert C.; Freede, Linda J. 33 1971 Composite link functions in generalized linear models. Zbl 0471.62051 Thompson, R.; Baker, R. J. 30 1981 Invariant factors under rank one perturbations. Zbl 0393.15010 Thompson, Robert C. 23 1980 A determinantal inequality for positive definite matrices. Zbl 0104.01201 Thompson, R. C. 22 1961 Principal submatrices of normal and Hermitian matrices. Zbl 0136.24802 Thompson, R. C. 21 1966 Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012 Thompson, R. C.; McEnteggert, P. 20 1968 Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities. Zbl 0796.15027 Miranda, Hector F.; Thompson, Robert C. 20 1994 The numerical range of normal matrices with quaternion entries. Zbl 0814.15026 So, Wasin; Thompson, Robert C.; Zhang, Fuzhen 20 1994 Maximum likelihood estimation of components of variance. Zbl 0332.62053 Patterson, H. D.; Thompson, R. 18 1975 A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076 Cooper, D. M.; Thompson, R. 16 1977 Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007 Thompson, Robert C. 15 1979 High, low, and quantitative roads in linear algebra. Zbl 0756.15002 Thompson, Robert C. 14 1992 Smith invariants of a product of integral matrices. Zbl 0592.15006 Thompson, Robert C. 14 1985 Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022 So, Wasin; Thompson, Robert C. 14 1996 Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007 Newman, Morris; So, Wasin; Thompson, Robert C. 13 1989 Numerical values of Goldberg’s coefficients in the series for \(\log (e^ x\,e^ y)\). Zbl 0613.17006 Newman, Morris; Thompson, Robert C. 12 1987 The congruence numerical range. Zbl 0445.15020 Thompson, Robert C. 12 1980 The spectrum of a Hermitian matrix sum. Zbl 0935.15001 Day, Jane; So, Wasin; Thompson, Robert C. 11 1998 A trace inequality with a subtracted term. Zbl 0774.15012 Miranda, H.; Thompson, Robert C. 11 1993 Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013 Thompson, R. C. 11 1972 Proof of a conjectured exponential formula. Zbl 0596.15025 Thompson, Robert C. 10 1986 Convergence proof for Goldberg’s exponential series. Zbl 0678.22003 Thompson, Robert C. 10 1989 Commutators of matrices with prescribed determinant. Zbl 0155.06602 Thompson, R. C. 10 1968 On the matrices \(AB\) and \(BA\). Zbl 0155.06603 Thompson, R. C. 10 1968 Sets of nearly triangular matrices. Zbl 0174.31802 Gaines, Fergus J.; Thompson, R. C. 10 1968 Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. Zbl 0224.15015 Thompson, R. C. 10 1968 The bilinear field of values. Zbl 0337.15022 Thompson, R. C. 9 1976 Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002 Thompson, Robert C. 9 1982 Special cases of a matrix exponential formula. Zbl 0655.15024 Thompson, Robert C. 9 1988 Matrices over rings of algebraic integers. Zbl 0731.15011 Newman, Morris; Thompson, Robert C. 9 1991 An inequality for invariant factors. Zbl 0503.15007 Thompson, Robert C. 9 1982 Commutators of matrices with coefficients from the field of two elements. Zbl 0108.01201 Thompson, R. C. 9 1962 A note on normal matrices. Zbl 0129.26603 Thompson, R. C. 9 1963 Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014 Thompson, R. C. 9 1969 The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019 Thompson, Robert C. 9 1992 Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009 Thompson, Robert C.; Freede Garbanati, Linda 9 1971 Singular value inequalities for matrix sums and minors. Zbl 0343.15008 Thompson, R. C. 9 1975 The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013 Thompson, Robert C. 9 1979 Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203 Thompson, R. C.; Freede, L. J. 8 1970 On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006 Thompson, Robert C.; Freede, Linda J. 7 1970 On the singular values of matrix products. I. Zbl 0265.15006 Thompson, R. C.; Therianos, S. 7 1973 Dissipative matrices and related results. Zbl 0308.15008 Thompson, R. C. 7 1975 On a construction of B. P. Zwahlen. Zbl 0305.15009 Thompson, R. C.; Therianos, S. 7 1974 Left multiples and right divisors of integral matrices. Zbl 0589.15010 Thompson, Robert C. 7 1986 Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008 Day, J.; So, W.; Thompson, Robert C. 6 1991 On matrix commutators. Zbl 0107.02502 Thompson, R. C. 6 1962 On a classical commutator result. Zbl 0145.25004 Marcus, M.; Thompson, Robert C. 6 1966 Principal submatrices. III: Linear inequalities. Zbl 0224.15013 Thompson, R. C. 6 1968 The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012 Thompson, R. C.; Therianos, S. 5 1973 The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017 Thompson, Robert C. 5 1989 The matrix numerical range. Zbl 0637.15019 Thompson, Robert C. 5 1987 Classes of definite group matrices. Zbl 0146.04101 Thompson, R. C. 5 1966 Inertial properties of eigenvalues. Zbl 0259.15007 Thompson, R. C. 5 1973 Existence of solutions of a nonlinear boundary value problem via the method of lines. Zbl 0385.34007 Schmitt, K.; Thompson, R. C.; Walter, W. 5 1978 On the singular values of matrix products. II. Zbl 0265.15007 Thompson, R. C. 5 1973 On the singular values of matrix products. III. Zbl 0265.15008 Thompson, R. C.; Therianos, S. 5 1973 On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005 Thompson, R. C. 5 1974 Matrix type metric inequalities. Zbl 0433.15010 Thompson, R. C. 5 1978 The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules. Zbl 0483.15011 Thompson, Robert C. 5 1982 Sums of integral matrices. Zbl 0589.15011 Thompson, Robert C. 5 1986 The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032 Thompson, Robert C. 5 1997 Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013 Thompson, Robert C.; Tung Kuo, Chi-Chin 4 1982 Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013 So, W.; Thompson, Robert C. 4 1991 Unimodular group matrices with rational integers as elements. Zbl 0122.03402 Thompson, R. C. 4 1964 Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016 Thompson, Robert C.; Therianos, S. 4 1972 The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017 Thompson, R. C.; Therianos, S. 4 1971 Matrices with zero trace. Zbl 0144.01903 Thompson, R. C. 4 1966 The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012 Thompson, R. C.; Therianos, S. 4 1972 Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053 Schmitt, K.; Thompson, R. 4 1974 Sire evaluation. Zbl 0422.62095 Thompson, R. 4 1979 The Smith invariants of a matrix sum. Zbl 0444.15011 Thompson, Robert C. 4 1980 On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302 Thompson, R. C. 3 1969 Classes of unimodular Abelian group matrices. Zbl 0257.20040 Garbanati, Dennis; Thompson, Robert C. 3 1972 The field of values of the Hadamard product. Zbl 0117.01601 Marcus, M.; Thompson, Robert C. 3 1963 A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017 Newman, Morris; Thompson, Robert C. 3 1994 A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026 Miranda, Hector; Thompson, Robert C. 3 1996 A matrix inequality. Zbl 0339.15008 Thompson, R. C. 2 1976 Inertial properties of eigenvalues. II. Zbl 0362.15010 Thompson, R. C. 2 1977 Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007 Thompson, Robert C. 2 1983 Divisibility relations satisfied by the invariant factors of a matrix product. Zbl 0676.15006 Thompson, Robert C. 2 1989 Invariant factors of integral quaternion matrices. Zbl 0634.15007 Thompson, Robert C. 2 1987 On matrix commutators. Zbl 0168.28202 Thompson, R. C. 2 1958 Principal submatrices VII: Further results concerning matrices with equal principal minors. Zbl 0224.15017 Thompson, R. C. 2 1968 Some matrix factorization theorems. I. Zbl 0233.15012 Thompson, Robert C. 2 1970 Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016 Thompson, R. C. 2 1969 Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013 Thompson, R. C. 2 1975 The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013 Thompson, Robert C. 2 1994 Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053 Hill, W. G.; Thompson, R. 2 1978 Matrix type metric inequalities. Zbl 0413.15010 Thompson, R. C. 2 1978 Root spreads for polynomials and Hermitian matrix pencils. Zbl 0824.15013 Thompson, Robert C. 1 1995 The spectrum of a Hermitian matrix sum. Zbl 0935.15001 Day, Jane; So, Wasin; Thompson, Robert C. 11 1998 The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032 Thompson, Robert C. 5 1997 Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022 So, Wasin; Thompson, Robert C. 14 1996 A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026 Miranda, Hector; Thompson, Robert C. 3 1996 Root spreads for polynomials and Hermitian matrix pencils. Zbl 0824.15013 Thompson, Robert C. 1 1995 Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities. Zbl 0796.15027 Miranda, Hector F.; Thompson, Robert C. 20 1994 The numerical range of normal matrices with quaternion entries. Zbl 0814.15026 So, Wasin; Thompson, Robert C.; Zhang, Fuzhen 20 1994 A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017 Newman, Morris; Thompson, Robert C. 3 1994 The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013 Thompson, Robert C. 2 1994 A trace inequality with a subtracted term. Zbl 0774.15012 Miranda, H.; Thompson, Robert C. 11 1993 High, low, and quantitative roads in linear algebra. Zbl 0756.15002 Thompson, Robert C. 14 1992 The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019 Thompson, Robert C. 9 1992 Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007 Thompson, Robert C. 109 1991 Matrices over rings of algebraic integers. Zbl 0731.15011 Newman, Morris; Thompson, Robert C. 9 1991 Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008 Day, J.; So, W.; Thompson, Robert C. 6 1991 Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013 So, W.; Thompson, Robert C. 4 1991 Simultaneous reduction of a complex skew matrix and a Hermitian matrix. Zbl 0714.15008 Li Santi, Barbara A.; Thompson, Robert C. 1 1991 Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007 Newman, Morris; So, Wasin; Thompson, Robert C. 13 1989 Convergence proof for Goldberg’s exponential series. Zbl 0678.22003 Thompson, Robert C. 10 1989 The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017 Thompson, Robert C. 5 1989 Divisibility relations satisfied by the invariant factors of a matrix product. Zbl 0676.15006 Thompson, Robert C. 2 1989 Cyclic shifts and an exponential formula. Zbl 0679.22004 Thompson, Robert C. 1 1989 Special cases of a matrix exponential formula. Zbl 0655.15024 Thompson, Robert C. 9 1988 Numerical values of Goldberg’s coefficients in the series for \(\log (e^ x\,e^ y)\). Zbl 0613.17006 Newman, Morris; Thompson, Robert C. 12 1987 The matrix numerical range. Zbl 0637.15019 Thompson, Robert C. 5 1987 Invariant factors of integral quaternion matrices. Zbl 0634.15007 Thompson, Robert C. 2 1987 Invariant factors of integral quaternion matrices. II. Zbl 0639.15004 Thompson, Robert C. 1 1987 Proof of a conjectured exponential formula. Zbl 0596.15025 Thompson, Robert C. 10 1986 Left multiples and right divisors of integral matrices. Zbl 0589.15010 Thompson, Robert C. 7 1986 Sums of integral matrices. Zbl 0589.15011 Thompson, Robert C. 5 1986 Invariant factors of algebraic combinations of matrices. Zbl 0622.15006 Thompson, Robert C. 1 1986 Smith invariants of a product of integral matrices. Zbl 0592.15006 Thompson, Robert C. 14 1985 \(p\)-adic matrix valued inequalities. Zbl 0577.15019 Thompson, R. C. 1 1985 Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007 Thompson, Robert C. 2 1983 Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002 Thompson, Robert C. 9 1982 An inequality for invariant factors. Zbl 0503.15007 Thompson, Robert C. 9 1982 The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules. Zbl 0483.15011 Thompson, Robert C. 5 1982 Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013 Thompson, Robert C.; Tung Kuo, Chi-Chin 4 1982 The Jacobi-Gundelfinger-Frobenius-Iohvidov rule and the Hasse symbol. Zbl 0484.15020 Thompson, Robert C. 1 1982 Composite link functions in generalized linear models. Zbl 0471.62051 Thompson, R.; Baker, R. J. 30 1981 Invariant factors under rank one perturbations. Zbl 0393.15010 Thompson, Robert C. 23 1980 The congruence numerical range. Zbl 0445.15020 Thompson, Robert C. 12 1980 The Smith invariants of a matrix sum. Zbl 0444.15011 Thompson, Robert C. 4 1980 Interlacing inequalities for invariant factors. Zbl 0395.15003 Thompson, R. C. 113 1979 Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007 Thompson, Robert C. 15 1979 The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013 Thompson, Robert C. 9 1979 Sire evaluation. Zbl 0422.62095 Thompson, R. 4 1979 Existence of solutions of a nonlinear boundary value problem via the method of lines. Zbl 0385.34007 Schmitt, K.; Thompson, R. C.; Walter, W. 5 1978 Matrix type metric inequalities. Zbl 0433.15010 Thompson, R. C. 5 1978 Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053 Hill, W. G.; Thompson, R. 2 1978 Matrix type metric inequalities. Zbl 0413.15010 Thompson, R. C. 2 1978 Singular values, diagonal elements, and convexity. Zbl 0361.15009 Thompson, R. C. 61 1977 A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076 Cooper, D. M.; Thompson, R. 16 1977 Inertial properties of eigenvalues. II. Zbl 0362.15010 Thompson, R. C. 2 1977 The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007 Thompson, R. C. 46 1976 The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011 Thompson, R. C. 42 1976 Convex and concave functions of singular values of matrix sums. Zbl 0361.15014 Thompson, R. C. 35 1976 The bilinear field of values. Zbl 0337.15022 Thompson, R. C. 9 1976 A matrix inequality. Zbl 0339.15008 Thompson, R. C. 2 1976 Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081 Schmitt, K.; Thompson, R. 40 1975 Maximum likelihood estimation of components of variance. Zbl 0332.62053 Patterson, H. D.; Thompson, R. 18 1975 Singular value inequalities for matrix sums and minors. Zbl 0343.15008 Thompson, R. C. 9 1975 Dissipative matrices and related results. Zbl 0308.15008 Thompson, R. C. 7 1975 Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013 Thompson, R. C. 2 1975 A note on the W transformation. Zbl 0331.62057 Thompson, R. 1 1975 The intersection of the convex hulls of proper and improper real matrices with prescribed singular values. Zbl 0333.15011 Thompson, R. C. 1 1975 The singular value range of a matrix sum or product. Zbl 0343.15009 Thompson, R. C. 1 1975 On a construction of B. P. Zwahlen. Zbl 0305.15009 Thompson, R. C.; Therianos, S. 7 1974 On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005 Thompson, R. C. 5 1974 Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053 Schmitt, K.; Thompson, R. 4 1974 Elementary modern algebra. Zbl 0296.00002 Thompson, Robert C. 1 1974 The eigenvalues of a partitioned Hermitian matrix involving a parameter. Zbl 0307.15007 Thompson, R. C. 1 1974 On the singular values of matrix products. I. Zbl 0265.15006 Thompson, R. C.; Therianos, S. 7 1973 The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012 Thompson, R. C.; Therianos, S. 5 1973 Inertial properties of eigenvalues. Zbl 0259.15007 Thompson, R. C. 5 1973 On the singular values of matrix products. II. Zbl 0265.15007 Thompson, R. C. 5 1973 On the singular values of matrix products. III. Zbl 0265.15008 Thompson, R. C.; Therianos, S. 5 1973 Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009 Thompson, R. C. 68 1972 Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013 Thompson, R. C. 11 1972 Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016 Thompson, Robert C.; Therianos, S. 4 1972 The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012 Thompson, R. C.; Therianos, S. 4 1972 Classes of unimodular Abelian group matrices. Zbl 0257.20040 Garbanati, Dennis; Thompson, Robert C. 3 1972 Skew circulant quadratic forms. Zbl 0269.10011 Garbanati, Dennis; Thompson, Robert C. 1 1972 Recovery of inter-block information when block sizes are unequal. Zbl 0228.62046 Patterson, H. D.; Thompson, R. 262 1971 On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005 Thompson, Robert C.; Freede, Linda J. 33 1971 Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009 Thompson, Robert C.; Freede Garbanati, Linda 9 1971 The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017 Thompson, R. C.; Therianos, S. 4 1971 On the real and absolute singular values of a matrix product. Zbl 0218.15006 Thompson, R. C. 1 1971 Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203 Thompson, R. C.; Freede, L. J. 8 1970 On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006 Thompson, Robert C.; Freede, Linda J. 7 1970 Some matrix factorization theorems. I. Zbl 0233.15012 Thompson, Robert C. 2 1970 Introduction to linear algebra. Zbl 0221.15002 Thompson, Robert C.; Yaqub, Adil 1 1970 Some matrix factorization theorems. II. Zbl 0251.15014 Thompson, Robert C. 1 1970 The L property for singular values. Zbl 0198.05302 Thompson, R. C. 1 1970 Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014 Thompson, R. C. 9 1969 On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302 Thompson, R. C. 3 1969 Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016 Thompson, R. C. 2 1969 Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012 Thompson, R. C.; McEnteggert, P. 20 1968 Commutators of matrices with prescribed determinant. Zbl 0155.06602 Thompson, R. C. 10 1968 On the matrices \(AB\) and \(BA\). Zbl 0155.06603 Thompson, R. C. 10 1968 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 883 Authors 56 Thompson, Robert C. 29 Rodman, Leiba X. 28 Li, Chi-Kwong 25 Silva, Fernando Conceição 23 Tam, Tin-Yau 22 Dodig, Marija 20 Mehrmann, Volker 19 Zaballa, Ion 16 Ran, André C. M. 15 Mehl, Christian 14 Johnson, Charles Royal 14 Stošić, Marko 13 Marques de Sá, Eduardo 12 Horn, Roger Alan 11 Cravo, Glória 11 Niezgoda, Marek 11 Zhang, Fuzhen 10 Baragaña, Itziar 10 de Terán, Fernando 10 Roca, Alicia 10 So, Wasin 9 Dmytryshyn, Andrii R. 9 Dopico, Froilán M. 9 Poon, Yiu-Tung 9 Queiró, João Filipe 9 Sergeichuk, Vladimir Vasil’evich 8 Bolsinov, Alexey V. 8 Mai Hoang Bien 7 Cheng, Cheman 7 Tsing, Nam-Kiu 7 Wojtylak, Michał 6 Lau, Pan-Shun 6 Noferini, Vanni 5 Carvalho, Luis Eduardo 5 de Hoyos, Inmaculada 5 Diogo, Cristina 5 Lei, Tiangang 5 Mendes, Sergio 5 Xu, Hongguo 4 Bebiano, Natália Isabel Quadros 4 Benner, Peter 4 Bercovici, Hari 4 Cabral, Isabel 4 Chu, Moody T. 4 Day, Jane Maxwell 4 de Pillis, John 4 Furtado, Susana 4 Gordeev, Nikolai L. 4 Lancaster, Peter 4 Li, Wing Suet 4 Mackey, D. Steven 4 Miranda, Hector F. 4 Nakatsukasa, Yuji 4 Reis, Timo 4 Robinson, Donald W. 4 Trương Hữu Dũng 4 Wu, Peiyuan 4 Zagalak, Petr 4 Zimmermann, Ralf 3 Aghamollaei, Gholamreza 3 Amparan, Agurtzane 3 Bai, Zhi-Dong 3 Bénasséni, Jacques 3 Bhatia, Rajendra 3 Binding, Paul Anthony 3 Bonfiglioli, Andrea 3 Carlson, David Hilding 3 Casas, Fernando 3 Chafaï, Djalil 3 da Providência Santarém e Costa, João 3 Dax, Achiya 3 Farid, Farid O. 3 Fu, Xiaohui 3 Garbanati, Dennis A. 3 Gohberg, Israel 3 Guralnick, Robert Michael 3 Ha, Nguyen Thi Thai 3 Izosimov, Anton 3 Kolotilina, Lily Yu. 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Larotonda, Gabriel 3 Leal-Duarte, António 3 Li, Huiqin 3 Liebeck, Martin Walter 3 Lin, Minghua 3 Loiseau, Jean Jacques 3 Marcaida, Silvia 3 Mathias, Roy 3 Mondié, Sabine 3 Newman, Morris 3 Nielsen, Christopher P. 3 Nylen, Peter M. 3 Perović, Vasilije 3 Pierce, Stephen J. 3 Romaniv, A. M. 3 Sze, Nung-Sing 3 Taussky-Todd, Olga 3 Therianos, S. 3 Uhlig, Frank 3 Urbano, Ana María ...and 783 more Authors all top 5 Cited in 183 Serials 334 Linear Algebra and its Applications 122 Linear and Multilinear Algebra 22 SIAM Journal on Matrix Analysis and Applications 15 Journal of Algebra 14 Proceedings of the American Mathematical Society 10 Integral Equations and Operator Theory 9 Journal of Mathematical Analysis and Applications 9 ELA. The Electronic Journal of Linear Algebra 7 International Journal of Control 6 Communications in Algebra 6 Journal of Computational and Applied Mathematics 6 Journal of Functional Analysis 6 Journal of Mathematical Sciences (New York) 5 Mathematics of Computation 5 Applied Mathematics and Computation 5 Transactions of the American Mathematical Society 5 Transformation Groups 5 Special Matrices 4 Communications in Mathematical Physics 4 Advances in Mathematics 4 Journal of Number Theory 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Aequationes Mathematicae 4 SIAM Journal on Scientific Computing 4 Numerical Linear Algebra with Applications 4 Journal of Inequalities and Applications 3 Discrete Applied Mathematics 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Journal of Geometry and Physics 3 BIT 3 Czechoslovak Mathematical Journal 3 Monatshefte für Mathematik 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Physics A: Mathematical and Theoretical 3 Random Matrices: Theory and Applications 2 Bulletin of the Australian Mathematical Society 2 Ukrainian Mathematical Journal 2 Canadian Mathematical Bulletin 2 Journal of Combinatorial Theory. Series B 2 Journal of Multivariate Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Kybernetika 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 SIAM Journal on Algebraic and Discrete Methods 2 Journal of Theoretical Probability 2 Mathematical and Computer Modelling 2 Forum Mathematicum 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Programming. Series A. Series B 2 Applied and Computational Harmonic Analysis 2 Mathematical Inequalities & Applications 2 Regular and Chaotic Dynamics 2 Acta Mathematica Sinica. English Series 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Statistical Mechanics: Theory and Experiment 2 Complex Analysis and Operator Theory 2 Operators and Matrices 2 Physical Review A, Third Series 2 Journal of Spectral Theory 2 Journal of Theoretical Biology 2 Carpathian Mathematical Publications 2 European Journal of Mathematics 2 Advances in Operator Theory 2 SIAM Journal on Applied Algebra and Geometry 1 International Journal of Modern Physics B 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Physica A 1 Studia Mathematica 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Automatica 1 Boletim da Sociedade Brasileira de Matemática 1 Collectanea Mathematica 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal ...and 83 more Serials all top 5 Cited in 53 Fields 604 Linear and multilinear algebra; matrix theory (15-XX) 95 Operator theory (47-XX) 83 Numerical analysis (65-XX) 62 Systems theory; control (93-XX) 60 Group theory and generalizations (20-XX) 56 Combinatorics (05-XX) 42 Nonassociative rings and algebras (17-XX) 28 Algebraic geometry (14-XX) 28 Topological groups, Lie groups (22-XX) 28 Functional analysis (46-XX) 19 Number theory (11-XX) 16 Probability theory and stochastic processes (60-XX) 14 Associative rings and algebras (16-XX) 14 Ordinary differential equations (34-XX) 14 Differential geometry (53-XX) 14 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Operations research, mathematical programming (90-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Statistics (62-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Commutative algebra (13-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Mechanics of deformable solids (74-XX) 7 Information and communication theory, circuits (94-XX) 6 Partial differential equations (35-XX) 6 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Manifolds and cell complexes (57-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year