Edit Profile (opens in new tab) Thompson, Robert C. Compute Distance To: Compute 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: 37 Reviews Biographic References: 4 Publications Co-Authors: 16 Co-Authors with 36 Joint Publications 217 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 119 Publications have been cited 1,089 times in 763 Documents Cited by ▼ Year ▼ Recovery of inter-block information when block sizes are unequal. Zbl 0228.62046Patterson, H. D.; Thompson, R. 230 1971 Interlacing inequalities for invariant factors. Zbl 0395.15003Thompson, R. C. 111 1979 Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007Thompson, Robert C. 94 1991 Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009Thompson, R. C. 63 1972 Singular values, diagonal elements, and convexity. Zbl 0361.15009Thompson, R. C. 58 1977 The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007Thompson, R. C. 41 1976 The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011Thompson, R. C. 41 1976 Commutators in the special and general linear groups. Zbl 0109.26002Thompson, R. C. 41 1961 Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081Schmitt, K.; Thompson, R. 39 1975 On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005Thompson, Robert C.; Freede, Linda J. 32 1971 Convex and concave functions of singular values of matrix sums. Zbl 0361.15014Thompson, R. C. 27 1976 Composite link functions in generalized linear models. Zbl 0471.62051Thompson, R.; Baker, R. J. 27 1981 Invariant factors under rank one perturbations. Zbl 0393.15010Thompson, Robert C. 22 1980 A determinantal inequality for positive definite matrices. Zbl 0104.01201Thompson, R. C. 20 1961 Principal submatrices of normal and Hermitian matrices. Zbl 0136.24802Thompson, R. C. 20 1966 Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012Thompson, R. C.; McEnteggert, P. 19 1968 Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities. Zbl 0796.15027Miranda, Hector F.; Thompson, Robert C. 19 1994 The numerical range of normal matrices with quaternion entries. Zbl 0814.15026So, Wasin; Thompson, Robert C.; Zhang, Fuzhen 18 1994 A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076Cooper, D. M.; Thompson, R. 15 1977 Maximum likelihood estimation of components of variance. Zbl 0332.62053Patterson, H. D.; Thompson, R. 15 1975 Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007Thompson, Robert C. 13 1979 High, low, and quantitative roads in linear algebra. Zbl 0756.15002Thompson, Robert C. 13 1992 The congruence numerical range. Zbl 0445.15020Thompson, Robert C. 12 1980 Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022So, Wasin; Thompson, Robert C. 12 1996 Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007Newman, Morris; So, Wasin; Thompson, Robert C. 12 1989 Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013Thompson, R. C. 11 1972 The spectrum of a Hermitian matrix sum. Zbl 0935.15001Day, Jane; So, Wasin; Thompson, Robert C. 10 1998 A trace inequality with a subtracted term. Zbl 0774.15012Miranda, H.; Thompson, Robert C. 10 1993 Commutators of matrices with prescribed determinant. Zbl 0155.06602Thompson, R. C. 10 1968 Convergence proof for Goldberg’s exponential series. Zbl 0678.22003Thompson, Robert C. 10 1989 The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013Thompson, Robert C. 9 1979 Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. Zbl 0224.15015Thompson, R. C. 9 1968 Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009Thompson, Robert C.; Freede Garbanati, Linda 9 1971 The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019Thompson, Robert C. 9 1992 Numerical values of Goldberg’s coefficients in the series for \(\log (e^ x\,e^ y)\). Zbl 0613.17006Newman, Morris; Thompson, Robert C. 9 1987 Commutators of matrices with coefficients from the field of two elements. Zbl 0108.01201Thompson, R. C. 9 1962 A note on normal matrices. Zbl 0129.26603Thompson, R. C. 9 1963 On the matrices \(AB\) and \(BA\). Zbl 0155.06603Thompson, R. C. 9 1968 Sets of nearly triangular matrices. Zbl 0174.31802Gaines, Fergus J.; Thompson, R. C. 9 1968 Special cases of a matrix exponential formula. Zbl 0655.15024Thompson, Robert C. 9 1988 The bilinear field of values. Zbl 0337.15022Thompson, R. C. 9 1976 An inequality for invariant factors. Zbl 0503.15007Thompson, Robert C. 9 1982 Singular value inequalities for matrix sums and minors. Zbl 0343.15008Thompson, R. C. 8 1975 Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014Thompson, R. C. 8 1969 Proof of a conjectured exponential formula. Zbl 0596.15025Thompson, Robert C. 8 1986 Matrices over rings of algebraic integers. Zbl 0731.15011Newman, Morris; Thompson, Robert C. 8 1991 On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006Thompson, Robert C.; Freede, Linda J. 7 1970 On the singular values of matrix products. I. Zbl 0265.15006Thompson, R. C.; Therianos, S. 7 1973 Dissipative matrices and related results. Zbl 0308.15008Thompson, R. C. 7 1975 Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203Thompson, R. C.; Freede, L. J. 7 1970 Left multiples and right divisors of integral matrices. Zbl 0589.15010Thompson, Robert C. 7 1986 Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002Thompson, Robert C. 7 1982 Principal submatrices. III: Linear inequalities. Zbl 0224.15013Thompson, R. C. 6 1968 On a construction of B. P. Zwahlen. Zbl 0305.15009Thompson, R. C.; Therianos, S. 6 1974 On matrix commutators. Zbl 0107.02502Thompson, R. C. 6 1962 Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008Day, J.; So, W.; Thompson, Robert C. 6 1991 Existence of solutions of a nonlinear boundary value problem via the method of lines. Zbl 0385.34007Schmitt, K.; Thompson, R. C.; Walter, W. 5 1978 Matrix type metric inequalities. Zbl 0433.15010Thompson, R. C. 5 1978 Inertial properties of eigenvalues. Zbl 0259.15007Thompson, R. C. 5 1973 On the singular values of matrix products. II. Zbl 0265.15007Thompson, R. C. 5 1973 On the singular values of matrix products. III. Zbl 0265.15008Thompson, R. C.; Therianos, S. 5 1973 The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012Thompson, R. C.; Therianos, S. 5 1973 The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032Thompson, Robert C. 5 1997 Classes of definite group matrices. Zbl 0146.04101Thompson, R. C. 5 1966 The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017Thompson, Robert C. 5 1989 The matrix numerical range. Zbl 0637.15019Thompson, Robert C. 5 1987 The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules. Zbl 0483.15011Thompson, Robert C. 5 1982 Sire evaluation. Zbl 0422.62095Thompson, R. 4 1979 The Smith invariants of a matrix sum. Zbl 0444.15011Thompson, Robert C. 4 1980 Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016Thompson, Robert C.; Therianos, S. 4 1972 The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017Thompson, R. C.; Therianos, S. 4 1971 The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012Thompson, R. C.; Therianos, S. 4 1972 Unimodular group matrices with rational integers as elements. Zbl 0122.03402Thompson, R. C. 4 1964 Matrices with zero trace. Zbl 0144.01903Thompson, R. C. 4 1966 On a classical commutator result. Zbl 0145.25004Marcus, M.; Thompson, Robert C. 4 1966 Sums of integral matrices. Zbl 0589.15011Thompson, Robert C. 4 1986 Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013So, W.; Thompson, Robert C. 4 1991 Classes of unimodular Abelian group matrices. Zbl 0257.20040Garbanati, Dennis; Thompson, Robert C. 3 1972 On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005Thompson, R. C. 3 1974 The field of values of the Hadamard product. Zbl 0117.01601Marcus, M.; Thompson, Robert C. 3 1963 A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017Newman, Morris; Thompson, Robert C. 3 1994 A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026Miranda, Hector; Thompson, Robert C. 3 1996 Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013Thompson, Robert C.; Tung Kuo, Chi-Chin 3 1982 Inertial properties of eigenvalues. II. Zbl 0362.15010Thompson, R. C. 2 1977 Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053Hill, W. G.; Thompson, R. 2 1978 Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016Thompson, R. C. 2 1969 Principal submatrices VII: Further results concerning matrices with equal principal minors. Zbl 0224.15017Thompson, R. C. 2 1968 Some matrix factorization theorems. I. Zbl 0233.15012Thompson, Robert C. 2 1970 Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053Schmitt, K.; Thompson, R. 2 1974 Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013Thompson, R. C. 2 1975 On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302Thompson, R. C. 2 1969 The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013Thompson, Robert C. 2 1994 Invariant factors of integral quaternion matrices. Zbl 0634.15007Thompson, Robert C. 2 1987 A matrix inequality. Zbl 0339.15008Thompson, R. C. 2 1976 Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007Thompson, Robert C. 2 1983 The singular value range of a matrix sum or product. Zbl 0343.15009Thompson, R. C. 1 1975 Matrix type metric inequalities. Zbl 0413.15010Thompson, R. C. 1 1978 Generalizations of a well-known result in matrix theory. Zbl 0216.06103Thompson, R. C. 1 1965 On the real and absolute singular values of a matrix product. Zbl 0218.15006Thompson, R. C. 1 1971 Some matrix factorization theorems. II. Zbl 0251.15014Thompson, Robert C. 1 1970 The spectrum of a Hermitian matrix sum. Zbl 0935.15001Day, Jane; So, Wasin; Thompson, Robert C. 10 1998 The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032Thompson, Robert C. 5 1997 Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022So, Wasin; Thompson, Robert C. 12 1996 A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026Miranda, Hector; Thompson, Robert C. 3 1996 Root spreads for polynomials and Hermitian matrix pencils. Zbl 0824.15013Thompson, Robert C. 1 1995 Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities. Zbl 0796.15027Miranda, Hector F.; Thompson, Robert C. 19 1994 The numerical range of normal matrices with quaternion entries. Zbl 0814.15026So, Wasin; Thompson, Robert C.; Zhang, Fuzhen 18 1994 A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017Newman, Morris; Thompson, Robert C. 3 1994 The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013Thompson, Robert C. 2 1994 A trace inequality with a subtracted term. Zbl 0774.15012Miranda, H.; Thompson, Robert C. 10 1993 High, low, and quantitative roads in linear algebra. Zbl 0756.15002Thompson, Robert C. 13 1992 The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019Thompson, Robert C. 9 1992 Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007Thompson, Robert C. 94 1991 Matrices over rings of algebraic integers. Zbl 0731.15011Newman, Morris; Thompson, Robert C. 8 1991 Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008Day, J.; So, W.; Thompson, Robert C. 6 1991 Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013So, W.; Thompson, Robert C. 4 1991 Simultaneous reduction of a complex skew matrix and a Hermitian matrix. Zbl 0714.15008Li Santi, Barbara A.; Thompson, Robert C. 1 1991 Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007Newman, Morris; So, Wasin; Thompson, Robert C. 12 1989 Convergence proof for Goldberg’s exponential series. Zbl 0678.22003Thompson, Robert C. 10 1989 The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017Thompson, Robert C. 5 1989 Cyclic shifts and an exponential formula. Zbl 0679.22004Thompson, Robert C. 1 1989 Special cases of a matrix exponential formula. Zbl 0655.15024Thompson, Robert C. 9 1988 Numerical values of Goldberg’s coefficients in the series for \(\log (e^ x\,e^ y)\). Zbl 0613.17006Newman, Morris; Thompson, Robert C. 9 1987 The matrix numerical range. Zbl 0637.15019Thompson, Robert C. 5 1987 Invariant factors of integral quaternion matrices. Zbl 0634.15007Thompson, Robert C. 2 1987 Invariant factors of integral quaternion matrices. II. Zbl 0639.15004Thompson, Robert C. 1 1987 Proof of a conjectured exponential formula. Zbl 0596.15025Thompson, Robert C. 8 1986 Left multiples and right divisors of integral matrices. Zbl 0589.15010Thompson, Robert C. 7 1986 Sums of integral matrices. Zbl 0589.15011Thompson, Robert C. 4 1986 Invariant factors of algebraic combinations of matrices. Zbl 0622.15006Thompson, Robert C. 1 1986 \(p\)-adic matrix valued inequalities. Zbl 0577.15019Thompson, R. C. 1 1985 Smith invariants of a product of integral matrices. Zbl 0592.15006Thompson, Robert C. 1 1985 Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007Thompson, Robert C. 2 1983 An inequality for invariant factors. Zbl 0503.15007Thompson, Robert C. 9 1982 Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002Thompson, Robert C. 7 1982 The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules. Zbl 0483.15011Thompson, Robert C. 5 1982 Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013Thompson, Robert C.; Tung Kuo, Chi-Chin 3 1982 The Jacobi-Gundelfinger-Frobenius-Iohvidov rule and the Hasse symbol. Zbl 0484.15020Thompson, Robert C. 1 1982 Composite link functions in generalized linear models. Zbl 0471.62051Thompson, R.; Baker, R. J. 27 1981 Invariant factors under rank one perturbations. Zbl 0393.15010Thompson, Robert C. 22 1980 The congruence numerical range. Zbl 0445.15020Thompson, Robert C. 12 1980 The Smith invariants of a matrix sum. Zbl 0444.15011Thompson, Robert C. 4 1980 Interlacing inequalities for invariant factors. Zbl 0395.15003Thompson, R. C. 111 1979 Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007Thompson, Robert C. 13 1979 The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013Thompson, Robert C. 9 1979 Sire evaluation. Zbl 0422.62095Thompson, R. 4 1979 Existence of solutions of a nonlinear boundary value problem via the method of lines. Zbl 0385.34007Schmitt, K.; Thompson, R. C.; Walter, W. 5 1978 Matrix type metric inequalities. Zbl 0433.15010Thompson, R. C. 5 1978 Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053Hill, W. G.; Thompson, R. 2 1978 Matrix type metric inequalities. Zbl 0413.15010Thompson, R. C. 1 1978 Singular values, diagonal elements, and convexity. Zbl 0361.15009Thompson, R. C. 58 1977 A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076Cooper, D. M.; Thompson, R. 15 1977 Inertial properties of eigenvalues. II. Zbl 0362.15010Thompson, R. C. 2 1977 The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007Thompson, R. C. 41 1976 The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011Thompson, R. C. 41 1976 Convex and concave functions of singular values of matrix sums. Zbl 0361.15014Thompson, R. C. 27 1976 The bilinear field of values. Zbl 0337.15022Thompson, R. C. 9 1976 A matrix inequality. Zbl 0339.15008Thompson, R. C. 2 1976 Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081Schmitt, K.; Thompson, R. 39 1975 Maximum likelihood estimation of components of variance. Zbl 0332.62053Patterson, H. D.; Thompson, R. 15 1975 Singular value inequalities for matrix sums and minors. Zbl 0343.15008Thompson, R. C. 8 1975 Dissipative matrices and related results. Zbl 0308.15008Thompson, R. C. 7 1975 Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013Thompson, R. C. 2 1975 The singular value range of a matrix sum or product. Zbl 0343.15009Thompson, R. C. 1 1975 A note on the W transformation. Zbl 0331.62057Thompson, R. 1 1975 The intersection of the convex hulls of proper and improper real matrices with prescribed singular values. Zbl 0333.15011Thompson, R. C. 1 1975 On a construction of B. P. Zwahlen. Zbl 0305.15009Thompson, R. C.; Therianos, S. 6 1974 On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005Thompson, R. C. 3 1974 Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053Schmitt, K.; Thompson, R. 2 1974 Elementary modern algebra. Zbl 0296.00002Thompson, Robert C. 1 1974 The eigenvalues of a partitioned Hermitian matrix involving a parameter. Zbl 0307.15007Thompson, R. C. 1 1974 On the singular values of matrix products. I. Zbl 0265.15006Thompson, R. C.; Therianos, S. 7 1973 Inertial properties of eigenvalues. Zbl 0259.15007Thompson, R. C. 5 1973 On the singular values of matrix products. II. Zbl 0265.15007Thompson, R. C. 5 1973 On the singular values of matrix products. III. Zbl 0265.15008Thompson, R. C.; Therianos, S. 5 1973 The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012Thompson, R. C.; Therianos, S. 5 1973 Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009Thompson, R. C. 63 1972 Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013Thompson, R. C. 11 1972 Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016Thompson, Robert C.; Therianos, S. 4 1972 The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012Thompson, R. C.; Therianos, S. 4 1972 Classes of unimodular Abelian group matrices. Zbl 0257.20040Garbanati, Dennis; Thompson, Robert C. 3 1972 Skew circulant quadratic forms. Zbl 0269.10011Garbanati, Dennis; Thompson, Robert C. 1 1972 Recovery of inter-block information when block sizes are unequal. Zbl 0228.62046Patterson, H. D.; Thompson, R. 230 1971 On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005Thompson, Robert C.; Freede, Linda J. 32 1971 Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009Thompson, Robert C.; Freede Garbanati, Linda 9 1971 The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017Thompson, R. C.; Therianos, S. 4 1971 On the real and absolute singular values of a matrix product. Zbl 0218.15006Thompson, R. C. 1 1971 On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006Thompson, Robert C.; Freede, Linda J. 7 1970 Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203Thompson, R. C.; Freede, L. J. 7 1970 Some matrix factorization theorems. I. Zbl 0233.15012Thompson, Robert C. 2 1970 Some matrix factorization theorems. II. Zbl 0251.15014Thompson, Robert C. 1 1970 The L property for singular values. Zbl 0198.05302Thompson, R. C. 1 1970 Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014Thompson, R. C. 8 1969 Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016Thompson, R. C. 2 1969 On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302Thompson, R. C. 2 1969 Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012Thompson, R. C.; McEnteggert, P. 19 1968 Commutators of matrices with prescribed determinant. Zbl 0155.06602Thompson, R. C. 10 1968 Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. Zbl 0224.15015Thompson, R. C. 9 1968 On the matrices \(AB\) and \(BA\). Zbl 0155.06603Thompson, R. C. 9 1968 Sets of nearly triangular matrices. Zbl 0174.31802Gaines, Fergus J.; Thompson, R. C. 9 1968 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 757 Authors 55 Thompson, Robert C. 29 Rodman, Leiba X. 27 Li, Chi-Kwong 25 Silva, Fernando Conceição 23 Tam, Tin-Yau 20 Dodig, Marija 19 Mehrmann, Volker 19 Zaballa, Ion 16 Ran, André C. M. 14 Johnson, Charles Royal 14 Mehl, Christian 13 Marques de Sá, Eduardo 12 Horn, Roger Alan 12 Stošić, Marko 11 Cravo, Glória 10 Niezgoda, Marek 10 So, Wasin 10 Zhang, Fuzhen 9 Baragaña, Itziar 9 Poon, Yiu-Tung 9 Queiró, João Filipe 9 Roca, Alicia 9 Sergeichuk, Vladimir Vasil’evich 7 Cheng, Cheman 7 de Terán, Fernando 7 Dmytryshyn, Andrii R. 7 Dopico, Froilán M. 7 Tsing, Nam-Kiu 7 Wojtylak, Michał 6 Bolsinov, Alexey V. 6 Lau, Pan-Shun 5 Carvalho, Luis Eduardo 5 de Hoyos, Inmaculada 5 Diogo, Cristina 5 Lei, Tiangang 5 Mendes, Sergio 5 Xu, Hongguo 4 Benner, Peter 4 Bercovici, Hari 4 Cabral, Isabel 4 Day, Jane Maxwell 4 de Pillis, John 4 Furtado, Susana 4 Lancaster, Peter 4 Li, Wing Suet 4 Miranda, Hector F. 4 Nakatsukasa, Yuji 4 Noferini, Vanni 4 Reis, Timo 4 Robinson, Donald W. 4 Wu, Peiyuan 4 Zagalak, Petr 4 Zimmermann, Ralf 3 Aghamollaei, Gholamreza 3 Bebiano, Natália Isabel Quadros 3 Bénasséni, Jacques 3 Bhatia, Rajendra 3 Binding, Paul Anthony 3 Bonfiglioli, Andrea 3 Carlson, David Hilding 3 Casas, Fernando 3 Chafaï, Djalil 3 Chu, Moody T. 3 da Providência Santarém e Costa, João 3 Farid, Farid O. 3 Garbanati, Dennis A. 3 Gohberg, Israel 3 Gordeev, Nikolai L. 3 Guralnick, Robert Michael 3 Kolotilina, Lily Yu. 3 Larotonda, Gabriel 3 Leal-Duarte, António 3 Liebeck, Martin Walter 3 Lin, Minghua 3 Loiseau, Jean Jacques 3 Mackey, D. Steven 3 Mai Hoang Bien 3 Mathias, Roy 3 Mondié, Sabine 3 Newman, Morris 3 Nielsen, Christopher P. 3 Nylen, Peter M. 3 Pierce, Stephen J. 3 Romaniv, A. M. 3 Sze, Nung-Sing 3 Therianos, S. 3 Uhlig, Frank 3 Urbano, Ana María 3 Van der Mee, Cornelis Victor Maria 3 Varela, Alejandro 3 Vaserstein, Leonid N. 3 Voigt, Matthias 3 Wimmer, Harald K. 3 Zhang, Yulin 2 Akbari, Saieed 2 Amparan, A. 2 Anderson, Joel 2 Antezana, Jorge 2 Au-Yeung, Yik-Hoi 2 Azenhas, Olga ...and 657 more Authors all top 5 Cited in 160 Serials 323 Linear Algebra and its Applications 116 Linear and Multilinear Algebra 17 SIAM Journal on Matrix Analysis and Applications 13 Journal of Algebra 12 Proceedings of the American Mathematical Society 10 Integral Equations and Operator Theory 9 Journal of Mathematical Analysis and Applications 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) 6 ELA. The Electronic Journal of Linear Algebra 5 Transactions of the American Mathematical Society 4 Communications in Mathematical Physics 4 Mathematics of Computation 4 Journal of Number Theory 4 Numerical Algorithms 4 Aequationes Mathematicae 4 SIAM Journal on Scientific Computing 4 Transformation Groups 4 Special Matrices 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Journal of Geometry and Physics 3 Applied Mathematics and Computation 3 BIT 3 Monatshefte für Mathematik 3 Applied Mathematics Letters 3 MCSS. 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Series B 2 Applied and Computational Harmonic Analysis 2 Journal of Inequalities and Applications 2 Regular and Chaotic Dynamics 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 Advances in Operator Theory 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 International Journal of Theoretical Physics 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 Studia Mathematica 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 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 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Information Sciences 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Le Matematiche 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Systems & Control Letters 1 Combinatorica 1 Acta Mathematica Hungarica 1 Computer Aided Geometric Design ...and 60 more Serials all top 5 Cited in 51 Fields 562 Linear and multilinear algebra; matrix theory (15-XX) 80 Operator theory (47-XX) 73 Numerical analysis (65-XX) 60 Systems theory; control (93-XX) 49 Group theory and generalizations (20-XX) 48 Combinatorics (05-XX) 34 Nonassociative rings and algebras (17-XX) 24 Functional analysis (46-XX) 23 Topological groups, Lie groups (22-XX) 19 Algebraic geometry (14-XX) 17 Number theory (11-XX) 13 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 11 Associative rings and algebras (16-XX) 11 Differential geometry (53-XX) 11 Quantum theory (81-XX) 10 Statistics (62-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Operations research, mathematical programming (90-XX) 8 Commutative algebra (13-XX) 8 Real functions (26-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 6 Mechanics of deformable solids (74-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Manifolds and cell complexes (57-XX) 4 Biology and other natural sciences (92-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-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 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year