Thompson, Robert C.

Compute Distance To:
 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
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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
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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
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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)

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 0228.62046
Patterson, H. D.; Thompson, R.
1971
Interlacing inequalities for invariant factors. Zbl 0395.15003
Thompson, R. C.
1979
Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007
Thompson, Robert C.
1991
Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009
Thompson, R. C.
1972
Singular values, diagonal elements, and convexity. Zbl 0361.15009
Thompson, R. C.
1977
The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007
Thompson, R. C.
1976
The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011
Thompson, R. C.
1976
Commutators in the special and general linear groups. Zbl 0109.26002
Thompson, R. C.
1961
Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081
Schmitt, K.; Thompson, R.
1975
On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005
Thompson, Robert C.; Freede, Linda J.
1971
Convex and concave functions of singular values of matrix sums. Zbl 0361.15014
Thompson, R. C.
1976
Composite link functions in generalized linear models. Zbl 0471.62051
Thompson, R.; Baker, R. J.
1981
Invariant factors under rank one perturbations. Zbl 0393.15010
Thompson, Robert C.
1980
A determinantal inequality for positive definite matrices. Zbl 0104.01201
Thompson, R. C.
1961
Principal submatrices of normal and Hermitian matrices. Zbl 0136.24802
Thompson, R. C.
1966
Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012
Thompson, R. C.; McEnteggert, P.
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.
1994
The numerical range of normal matrices with quaternion entries. Zbl 0814.15026
So, Wasin; Thompson, Robert C.; Zhang, Fuzhen
1994
A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076
Cooper, D. M.; Thompson, R.
1977
Maximum likelihood estimation of components of variance. Zbl 0332.62053
Patterson, H. D.; Thompson, R.
1975
Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007
Thompson, Robert C.
1979
High, low, and quantitative roads in linear algebra. Zbl 0756.15002
Thompson, Robert C.
1992
The congruence numerical range. Zbl 0445.15020
Thompson, Robert C.
1980
Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022
So, Wasin; Thompson, Robert C.
1996
Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007
Newman, Morris; So, Wasin; Thompson, Robert C.
1989
Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013
Thompson, R. C.
1972
The spectrum of a Hermitian matrix sum. Zbl 0935.15001
Day, Jane; So, Wasin; Thompson, Robert C.
1998
A trace inequality with a subtracted term. Zbl 0774.15012
Miranda, H.; Thompson, Robert C.
1993
Commutators of matrices with prescribed determinant. Zbl 0155.06602
Thompson, R. C.
1968
Convergence proof for Goldberg’s exponential series. Zbl 0678.22003
Thompson, Robert C.
1989
The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013
Thompson, Robert C.
1979
Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. Zbl 0224.15015
Thompson, R. C.
1968
Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009
Thompson, Robert C.; Freede Garbanati, Linda
1971
The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019
Thompson, Robert C.
1992
Numerical values of Goldberg’s coefficients in the series for $$\log (e^ x\,e^ y)$$. Zbl 0613.17006
Newman, Morris; Thompson, Robert C.
1987
Commutators of matrices with coefficients from the field of two elements. Zbl 0108.01201
Thompson, R. C.
1962
A note on normal matrices. Zbl 0129.26603
Thompson, R. C.
1963
On the matrices $$AB$$ and $$BA$$. Zbl 0155.06603
Thompson, R. C.
1968
Sets of nearly triangular matrices. Zbl 0174.31802
Gaines, Fergus J.; Thompson, R. C.
1968
Special cases of a matrix exponential formula. Zbl 0655.15024
Thompson, Robert C.
1988
The bilinear field of values. Zbl 0337.15022
Thompson, R. C.
1976
An inequality for invariant factors. Zbl 0503.15007
Thompson, Robert C.
1982
Singular value inequalities for matrix sums and minors. Zbl 0343.15008
Thompson, R. C.
1975
Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014
Thompson, R. C.
1969
Proof of a conjectured exponential formula. Zbl 0596.15025
Thompson, Robert C.
1986
Matrices over rings of algebraic integers. Zbl 0731.15011
Newman, Morris; Thompson, Robert C.
1991
On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006
Thompson, Robert C.; Freede, Linda J.
1970
On the singular values of matrix products. I. Zbl 0265.15006
Thompson, R. C.; Therianos, S.
1973
Dissipative matrices and related results. Zbl 0308.15008
Thompson, R. C.
1975
Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203
Thompson, R. C.; Freede, L. J.
1970
Left multiples and right divisors of integral matrices. Zbl 0589.15010
Thompson, Robert C.
1986
Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002
Thompson, Robert C.
1982
Principal submatrices. III: Linear inequalities. Zbl 0224.15013
Thompson, R. C.
1968
On a construction of B. P. Zwahlen. Zbl 0305.15009
Thompson, R. C.; Therianos, S.
1974
On matrix commutators. Zbl 0107.02502
Thompson, R. C.
1962
Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008
Day, J.; So, W.; Thompson, Robert C.
1991
Existence of solutions of a nonlinear boundary value problem via the method of lines. Zbl 0385.34007
Schmitt, K.; Thompson, R. C.; Walter, W.
1978
Matrix type metric inequalities. Zbl 0433.15010
Thompson, R. C.
1978
Inertial properties of eigenvalues. Zbl 0259.15007
Thompson, R. C.
1973
On the singular values of matrix products. II. Zbl 0265.15007
Thompson, R. C.
1973
On the singular values of matrix products. III. Zbl 0265.15008
Thompson, R. C.; Therianos, S.
1973
The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012
Thompson, R. C.; Therianos, S.
1973
The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032
Thompson, Robert C.
1997
Classes of definite group matrices. Zbl 0146.04101
Thompson, R. C.
1966
The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017
Thompson, Robert C.
1989
The matrix numerical range. Zbl 0637.15019
Thompson, Robert C.
1987
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.
1982
Sire evaluation. Zbl 0422.62095
Thompson, R.
1979
The Smith invariants of a matrix sum. Zbl 0444.15011
Thompson, Robert C.
1980
Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016
Thompson, Robert C.; Therianos, S.
1972
The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017
Thompson, R. C.; Therianos, S.
1971
The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012
Thompson, R. C.; Therianos, S.
1972
Unimodular group matrices with rational integers as elements. Zbl 0122.03402
Thompson, R. C.
1964
Matrices with zero trace. Zbl 0144.01903
Thompson, R. C.
1966
On a classical commutator result. Zbl 0145.25004
Marcus, M.; Thompson, Robert C.
1966
Sums of integral matrices. Zbl 0589.15011
Thompson, Robert C.
1986
Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013
So, W.; Thompson, Robert C.
1991
Classes of unimodular Abelian group matrices. Zbl 0257.20040
Garbanati, Dennis; Thompson, Robert C.
1972
On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005
Thompson, R. C.
1974
The field of values of the Hadamard product. Zbl 0117.01601
Marcus, M.; Thompson, Robert C.
1963
A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017
Newman, Morris; Thompson, Robert C.
1994
A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026
Miranda, Hector; Thompson, Robert C.
1996
Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013
Thompson, Robert C.; Tung Kuo, Chi-Chin
1982
Inertial properties of eigenvalues. II. Zbl 0362.15010
Thompson, R. C.
1977
Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053
Hill, W. G.; Thompson, R.
1978
Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016
Thompson, R. C.
1969
Principal submatrices VII: Further results concerning matrices with equal principal minors. Zbl 0224.15017
Thompson, R. C.
1968
Some matrix factorization theorems. I. Zbl 0233.15012
Thompson, Robert C.
1970
Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053
Schmitt, K.; Thompson, R.
1974
Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013
Thompson, R. C.
1975
On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302
Thompson, R. C.
1969
The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013
Thompson, Robert C.
1994
Invariant factors of integral quaternion matrices. Zbl 0634.15007
Thompson, Robert C.
1987
A matrix inequality. Zbl 0339.15008
Thompson, R. C.
1976
Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007
Thompson, Robert C.
1983
The singular value range of a matrix sum or product. Zbl 0343.15009
Thompson, R. C.
1975
Matrix type metric inequalities. Zbl 0413.15010
Thompson, R. C.
1978
Generalizations of a well-known result in matrix theory. Zbl 0216.06103
Thompson, R. C.
1965
On the real and absolute singular values of a matrix product. Zbl 0218.15006
Thompson, R. C.
1971
Some matrix factorization theorems. II. Zbl 0251.15014
Thompson, Robert C.
1970
The spectrum of a Hermitian matrix sum. Zbl 0935.15001
Day, Jane; So, Wasin; Thompson, Robert C.
1998
The upper numerical range of a quaternionic matrix is not a complex numerical range. Zbl 0880.15032
Thompson, Robert C.
1997
Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Zbl 0876.15022
So, Wasin; Thompson, Robert C.
1996
A supplement to the von Neumann trace inequality for singular values. Zbl 0880.15026
Miranda, Hector; Thompson, Robert C.
1996
Root spreads for polynomials and Hermitian matrix pencils. Zbl 0824.15013
Thompson, Robert C.
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.
1994
The numerical range of normal matrices with quaternion entries. Zbl 0814.15026
So, Wasin; Thompson, Robert C.; Zhang, Fuzhen
1994
A counterexample connected with Geršgorin’s theorem. Zbl 0803.15017
Newman, Morris; Thompson, Robert C.
1994
The diagonal torus of a matrix under special unitary equivalence. Zbl 0805.15013
Thompson, Robert C.
1994
A trace inequality with a subtracted term. Zbl 0774.15012
Miranda, H.; Thompson, Robert C.
1993
High, low, and quantitative roads in linear algebra. Zbl 0756.15002
Thompson, Robert C.
1992
The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Zbl 0761.15019
Thompson, Robert C.
1992
Pencils of complex and real symmetric and skew matrices. Zbl 0726.15007
Thompson, Robert C.
1991
Matrices over rings of algebraic integers. Zbl 0731.15011
Newman, Morris; Thompson, Robert C.
1991
Some properties of the Campbell Baker Hausdorff series. Zbl 0728.22008
Day, J.; So, W.; Thompson, Robert C.
1991
Products of exponentials of Hermitian and complex symmetric matrices. Zbl 0727.15013
So, W.; Thompson, Robert C.
1991
Simultaneous reduction of a complex skew matrix and a Hermitian matrix. Zbl 0714.15008
Li Santi, Barbara A.; Thompson, Robert C.
1991
Convergence domains for the Campbell-Baker-Hausdorff formula. Zbl 0713.22007
Newman, Morris; So, Wasin; Thompson, Robert C.
1989
Convergence proof for Goldberg’s exponential series. Zbl 0678.22003
Thompson, Robert C.
1989
The matrix valued triangle inequality: Quaternion version. Zbl 0678.15017
Thompson, Robert C.
1989
Cyclic shifts and an exponential formula. Zbl 0679.22004
Thompson, Robert C.
1989
Special cases of a matrix exponential formula. Zbl 0655.15024
Thompson, Robert C.
1988
Numerical values of Goldberg’s coefficients in the series for $$\log (e^ x\,e^ y)$$. Zbl 0613.17006
Newman, Morris; Thompson, Robert C.
1987
The matrix numerical range. Zbl 0637.15019
Thompson, Robert C.
1987
Invariant factors of integral quaternion matrices. Zbl 0634.15007
Thompson, Robert C.
1987
Invariant factors of integral quaternion matrices. II. Zbl 0639.15004
Thompson, Robert C.
1987
Proof of a conjectured exponential formula. Zbl 0596.15025
Thompson, Robert C.
1986
Left multiples and right divisors of integral matrices. Zbl 0589.15010
Thompson, Robert C.
1986
Sums of integral matrices. Zbl 0589.15011
Thompson, Robert C.
1986
Invariant factors of algebraic combinations of matrices. Zbl 0622.15006
Thompson, Robert C.
1986
$$p$$-adic matrix valued inequalities. Zbl 0577.15019
Thompson, R. C.
1985
Smith invariants of a product of integral matrices. Zbl 0592.15006
Thompson, Robert C.
1985
Counterexamples concerning the diagonal elements of normal matrices. Zbl 0508.15007
Thompson, Robert C.
1983
An inequality for invariant factors. Zbl 0503.15007
Thompson, Robert C.
1982
Cyclic relations and the Goldberg coefficients in the Campbell-Baker- Hausdorff formula. Zbl 0497.17002
Thompson, Robert C.
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.
1982
Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Zbl 0524.15013
Thompson, Robert C.; Tung Kuo, Chi-Chin
1982
The Jacobi-Gundelfinger-Frobenius-Iohvidov rule and the Hasse symbol. Zbl 0484.15020
Thompson, Robert C.
1982
Composite link functions in generalized linear models. Zbl 0471.62051
Thompson, R.; Baker, R. J.
1981
Invariant factors under rank one perturbations. Zbl 0393.15010
Thompson, Robert C.
1980
The congruence numerical range. Zbl 0445.15020
Thompson, Robert C.
1980
The Smith invariants of a matrix sum. Zbl 0444.15011
Thompson, Robert C.
1980
Interlacing inequalities for invariant factors. Zbl 0395.15003
Thompson, R. C.
1979
Singular values and diagonal elements of complex symmetric matrices. Zbl 0408.15007
Thompson, Robert C.
1979
The case of equality in the matrix-valued triangle inequality. Zbl 0412.15013
Thompson, Robert C.
1979
Sire evaluation. Zbl 0422.62095
Thompson, R.
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.
1978
Matrix type metric inequalities. Zbl 0433.15010
Thompson, R. C.
1978
Probabilities of non-positive definite between-group or genetic covariance matrices. Zbl 0406.62053
Hill, W. G.; Thompson, R.
1978
Matrix type metric inequalities. Zbl 0413.15010
Thompson, R. C.
1978
Singular values, diagonal elements, and convexity. Zbl 0361.15009
Thompson, R. C.
1977
A note on the estimation of the parameters of the autoregressive-moving average process. Zbl 0368.62076
Cooper, D. M.; Thompson, R.
1977
Inertial properties of eigenvalues. II. Zbl 0362.15010
Thompson, R. C.
1977
The behavior of eigenvalues and singular values under perturbations of restricted rank. Zbl 0343.15007
Thompson, R. C.
1976
The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Zbl 0386.15011
Thompson, R. C.
1976
Convex and concave functions of singular values of matrix sums. Zbl 0361.15014
Thompson, R. C.
1976
The bilinear field of values. Zbl 0337.15022
Thompson, R. C.
1976
A matrix inequality. Zbl 0339.15008
Thompson, R. C.
1976
Boundary value problems for infinite systems of second order differential equations. Zbl 0302.34081
Schmitt, K.; Thompson, R.
1975
Maximum likelihood estimation of components of variance. Zbl 0332.62053
Patterson, H. D.; Thompson, R.
1975
Singular value inequalities for matrix sums and minors. Zbl 0343.15008
Thompson, R. C.
1975
Dissipative matrices and related results. Zbl 0308.15008
Thompson, R. C.
1975
Extreme determinants on the convex hull of matrices with prescribed singular values. Zbl 0334.15013
Thompson, R. C.
1975
The singular value range of a matrix sum or product. Zbl 0343.15009
Thompson, R. C.
1975
A note on the W transformation. Zbl 0331.62057
Thompson, R.
1975
The intersection of the convex hulls of proper and improper real matrices with prescribed singular values. Zbl 0333.15011
Thompson, R. C.
1975
On a construction of B. P. Zwahlen. Zbl 0305.15009
Thompson, R. C.; Therianos, S.
1974
On the eigenvalues of a product of unitary matrices. I. Zbl 0306.15005
Thompson, R. C.
1974
Boundary value problems for infinite systems of second order differential equations. Zbl 0278.34053
Schmitt, K.; Thompson, R.
1974
Elementary modern algebra. Zbl 0296.00002
Thompson, Robert C.
1974
The eigenvalues of a partitioned Hermitian matrix involving a parameter. Zbl 0307.15007
Thompson, R. C.
1974
On the singular values of matrix products. I. Zbl 0265.15006
Thompson, R. C.; Therianos, S.
1973
Inertial properties of eigenvalues. Zbl 0259.15007
Thompson, R. C.
1973
On the singular values of matrix products. II. Zbl 0265.15007
Thompson, R. C.
1973
On the singular values of matrix products. III. Zbl 0265.15008
Thompson, R. C.; Therianos, S.
1973
The eigenvalues and singular values of matrix sums and products. VII. Zbl 0313.15012
Thompson, R. C.; Therianos, S.
1973
Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. Zbl 0252.15009
Thompson, R. C.
1972
Principal submatrices. VIII: Principal sections of a pair of forms. Zbl 0256.15013
Thompson, R. C.
1972
Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. Zbl 0233.15016
Thompson, Robert C.; Therianos, S.
1972
The eigenvalues of complementary principal submatrices of a positive definite matrix. Zbl 0256.15012
Thompson, R. C.; Therianos, S.
1972
Classes of unimodular Abelian group matrices. Zbl 0257.20040
Garbanati, Dennis; Thompson, Robert C.
1972
Skew circulant quadratic forms. Zbl 0269.10011
Garbanati, Dennis; Thompson, Robert C.
1972
Recovery of inter-block information when block sizes are unequal. Zbl 0228.62046
Patterson, H. D.; Thompson, R.
1971
On the eigenvalues of sums of Hermitian matrices. Zbl 0228.15005
Thompson, Robert C.; Freede, Linda J.
1971
Eigenvalues of sums of Hermitian matrices. III. Zbl 0265.15009
Thompson, Robert C.; Freede Garbanati, Linda
1971
The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. Zbl 0233.15017
Thompson, R. C.; Therianos, S.
1971
On the real and absolute singular values of a matrix product. Zbl 0218.15006
Thompson, R. C.
1971
On the eigenvalues of sums of Hermitian matrices. II. Zbl 0228.15006
Thompson, Robert C.; Freede, Linda J.
1970
Eigenvalues of partitioned hermitian matrices. Zbl 0198.35203
Thompson, R. C.; Freede, L. J.
1970
Some matrix factorization theorems. I. Zbl 0233.15012
Thompson, Robert C.
1970
Some matrix factorization theorems. II. Zbl 0251.15014
Thompson, Robert C.
1970
The L property for singular values. Zbl 0198.05302
Thompson, R. C.
1970
Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. Zbl 0224.15014
Thompson, R. C.
1969
Principal submatrices. VI: Cases of equality in certain linear inequalities. Zbl 0224.15016
Thompson, R. C.
1969
On Pearl’s paper ’A decomposition theorem for matrices’. Zbl 0203.33302
Thompson, R. C.
1969
Principal submatrices. II: The upper and lower quadratic inequalities. Zbl 0224.15012
Thompson, R. C.; McEnteggert, P.
1968
Commutators of matrices with prescribed determinant. Zbl 0155.06602
Thompson, R. C.
1968
Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. Zbl 0224.15015
Thompson, R. C.
1968
On the matrices $$AB$$ and $$BA$$. Zbl 0155.06603
Thompson, R. C.
1968
Sets of nearly triangular matrices. Zbl 0174.31802
Gaines, Fergus J.; Thompson, R. C.
1968
...and 19 more Documents
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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
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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. Mathematics of Control, Signals, and Systems 3 Random Matrices: Theory and Applications 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Advances in Mathematics 2 Canadian Mathematical Bulletin 2 Czechoslovak Mathematical Journal 2 Journal of Multivariate Analysis 2 Kybernetika 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 SIAM Journal on Algebraic and Discrete Methods 2 Mathematical and Computer Modelling 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 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
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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)