So, Wasin; Thompson, Robert C. Singular values of matrix exponentials. (English) Zbl 0961.15004 Linear Multilinear Algebra 47, No. 3, 249-258 (2000). Reviewer: Václav Burjan (Praha) MSC: 15A18 15A45 15A42 PDFBibTeX XMLCite \textit{W. So} and \textit{R. C. Thompson}, Linear Multilinear Algebra 47, No. 3, 249--258 (2000; Zbl 0961.15004) Full Text: DOI
Day, Jane; So, Wasin; Thompson, Robert C. The spectrum of a Hermitian matrix sum. (English) Zbl 0935.15001 Linear Algebra Appl. 280, No. 2-3, 289-332 (1998). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{J. Day} et al., Linear Algebra Appl. 280, No. 2--3, 289--332 (1998; Zbl 0935.15001) Full Text: DOI
Thompson, Robert C. The upper numerical range of a quaternionic matrix is not a complex numerical range. (English) Zbl 0880.15032 Linear Algebra Appl. 254, 19-28 (1997). Reviewer: M.F.Silva Leite (Coimbra) MSC: 15A60 15B33 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 254, 19--28 (1997; Zbl 0880.15032) Full Text: DOI
So, Wasin; Thompson, Robert C. Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. (English) Zbl 0876.15022 Linear Multilinear Algebra 41, No. 4, 303-365 (1996). Reviewer: R.von Randow (Bonn) MSC: 15A60 15B33 PDFBibTeX XMLCite \textit{W. So} and \textit{R. C. Thompson}, Linear Multilinear Algebra 41, No. 4, 303--365 (1996; Zbl 0876.15022) Full Text: DOI
Miranda, Hector; Thompson, Robert C. A supplement to the von Neumann trace inequality for singular values. (English) Zbl 0880.15026 Linear Algebra Appl. 248, 61-66 (1996). Reviewer: T.B.Andersen (Aarhus) MSC: 15A42 PDFBibTeX XMLCite \textit{H. Miranda} and \textit{R. C. Thompson}, Linear Algebra Appl. 248, 61--66 (1996; Zbl 0880.15026) Full Text: DOI
Thompson, Robert C. Root spreads for polynomials and Hermitian matrix pencils. (English) Zbl 0824.15013 Linear Algebra Appl. 220, 419-433 (1995). Reviewer: H.Grassmann (Berlin) MSC: 15A22 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 220, 419--433 (1995; Zbl 0824.15013) Full Text: DOI
So, Wasin; Thompson, Robert C.; Zhang, Fuzhen The numerical range of normal matrices with quaternion entries. (English) Zbl 0814.15026 Linear Multilinear Algebra 37, No. 1-3, 175-195 (1994). Reviewer: M.Voicu (Iaşi) MSC: 15A60 15B33 PDFBibTeX XMLCite \textit{W. So} et al., Linear Multilinear Algebra 37, No. 1--3, 175--195 (1994; Zbl 0814.15026) Full Text: DOI
Thompson, Robert C. The diagonal torus of a matrix under special unitary equivalence. (English) Zbl 0805.15013 SIAM J. Matrix Anal. Appl. 15, No. 3, 968-973 (1994). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A42 15A21 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, SIAM J. Matrix Anal. Appl. 15, No. 3, 968--973 (1994; Zbl 0805.15013) Full Text: DOI
Newman, Morris; Thompson, Robert C. A counterexample connected with Geršgorin’s theorem. (English) Zbl 0803.15017 Linear Algebra Appl. 201, 165-169 (1994). Reviewer: K.Burian (Havířov) MSC: 15A42 PDFBibTeX XMLCite \textit{M. Newman} and \textit{R. C. Thompson}, Linear Algebra Appl. 201, 165--169 (1994; Zbl 0803.15017) Full Text: DOI
Miranda, Hector F.; Thompson, Robert C. Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities. (English) Zbl 0796.15027 Linear Algebra Appl. 199, 131-141 (1994). Reviewer: Li Shaokuan (Shanghai) MSC: 15A60 15A42 PDFBibTeX XMLCite \textit{H. F. Miranda} and \textit{R. C. Thompson}, Linear Algebra Appl. 199, 131--141 (1994; Zbl 0796.15027) Full Text: DOI
Miranda, H.; Thompson, Robert C. A trace inequality with a subtracted term. (English) Zbl 0774.15012 Linear Algebra Appl. 185, 165-172 (1993). Reviewer: S.S.Dragomir (Timişoara) MSC: 15A45 15A42 PDFBibTeX XMLCite \textit{H. Miranda} and \textit{R. C. Thompson}, Linear Algebra Appl. 185, 165--172 (1993; Zbl 0774.15012) Full Text: DOI
Thompson, Robert C. The eigenvalue spreads of a Hermitian matrix and its principal submatrices. (English) Zbl 0761.15019 Linear Multilinear Algebra 32, No. 3-4, 327-333 (1992). Reviewer: J.D.Dixon (Ottawa) MSC: 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 32, No. 3--4, 327--333 (1992; Zbl 0761.15019) Full Text: DOI
Thompson, Robert C. High, low, and quantitative roads in linear algebra. (English) Zbl 0756.15002 Linear Algebra Appl. 162-164, 23-64 (1992). Reviewer: J.D.Dixon (Ottawa) MSC: 15-02 15-03 15-XX PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 162--164, 23--64 (1992; Zbl 0756.15002) Full Text: DOI
Newman, Morris; Thompson, Robert C. Matrices over rings of algebraic integers. (English) Zbl 0731.15011 Linear Algebra Appl. 145, 1-20 (1991). Reviewer: J.L.Zemmer (Columbia) MSC: 15B33 15A21 13F10 PDFBibTeX XMLCite \textit{M. Newman} and \textit{R. C. Thompson}, Linear Algebra Appl. 145, 1--20 (1991; Zbl 0731.15011) Full Text: DOI
So, W.; Thompson, Robert C. Products of exponentials of Hermitian and complex symmetric matrices. (English) Zbl 0727.15013 Linear Multilinear Algebra 29, No. 3-4, 225-233 (1991). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15B57 15A60 PDFBibTeX XMLCite \textit{W. So} and \textit{R. C. Thompson}, Linear Multilinear Algebra 29, No. 3--4, 225--233 (1991; Zbl 0727.15013) Full Text: DOI
Thompson, Robert C. Pencils of complex and real symmetric and skew matrices. (English) Zbl 0726.15007 Linear Algebra Appl. 147, 323-371 (1991). Reviewer: F.Uhlig (Auburn) MSC: 15A22 15A21 15B48 15B57 15A63 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 147, 323--371 (1991; Zbl 0726.15007) Full Text: DOI
Li Santi, Barbara A.; Thompson, Robert C. Simultaneous reduction of a complex skew matrix and a Hermitian matrix. (English) Zbl 0714.15008 Linear Algebra Appl. 147, 275-322 (1991). Reviewer: H.-J.Kowalsky MSC: 15A21 15A22 PDFBibTeX XMLCite \textit{B. A. Li Santi} and \textit{R. C. Thompson}, Linear Algebra Appl. 147, 275--322 (1991; Zbl 0714.15008) Full Text: DOI
Thompson, Robert C. (ed.) Lisbon workshop on invariant factors, held at the Universidade de Lisboa, Lisbon, Portugal, September 1988. (English) Zbl 0701.00007 Linear and Multilinear Algebra, 27, No. 4. New York etc.: Gordon and Breach Science Publishers. p. 227-343 (1990). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{R. C. Thompson} (ed.), Lisbon workshop on invariant factors, held at the Universidade de Lisboa, Lisbon, Portugal, September 1988. New York etc.: Gordon and Breach Science Publishers (1990; Zbl 0701.00007)
Thompson, Robert C. The matrix valued triangle inequality: Quaternion version. (English) Zbl 0678.15017 Linear Multilinear Algebra 25, No. 1, 85-91 (1989). Reviewer: M.F.Silva Leite MSC: 15A45 15B33 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 25, No. 1, 85--91 (1989; Zbl 0678.15017) Full Text: DOI
Thompson, Robert C. Divisibility relations satisfied by the invariant factors of a matrix product. (English) Zbl 0676.15006 The Gohberg anniversary collection. Vol. I: Matrix theory papers, Proc. Int. Conf. Oper. Theory., Calgary/Can. 1988, Oper. Theory, Adv. Appl. 40, 471-491 (1989). Reviewer: J.D.Dixon MSC: 15A21 15B36 13C05 PDFBibTeX XML
Thompson, Robert C. A divisibility nonrelation for the Smith invariants of a product of integral matrices. (English) Zbl 0656.15003 Linear Multilinear Algebra 23, No. 3, 277-282 (1988). Reviewer: J.D.Dixon MSC: 15A21 15A42 15B36 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 23, No. 3, 277--282 (1988; Zbl 0656.15003) Full Text: DOI
Thompson, Robert C. Special cases of a matrix exponential formula. (English) Zbl 0655.15024 Linear Algebra Appl. 107, 283-292 (1988). Reviewer: R.Jeltsch MSC: 15A60 15A24 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 107, 283--292 (1988; Zbl 0655.15024) Full Text: DOI
Thompson, Robert C. Resultants, bigradients, and integral polynomials. (English) Zbl 0648.13005 Current trends in matrix theory, Proc. 3rd Conf., Auburn/Ala. 1986, 369-398 (1987). Reviewer: L.Vaserstein MSC: 13B25 13F20 15B33 PDFBibTeX XML
Thompson, Robert C. Invariant factors of integral quaternion matrices. II. (English) Zbl 0639.15004 Linear Multilinear Algebra 22, No. 1, 103-112 (1987). Reviewer: Yueh-er Kuo MSC: 15B33 15A72 15B36 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 22, No. 1, 103--112 (1987; Zbl 0639.15004) Full Text: DOI
Thompson, Robert C. The matrix numerical range. (English) Zbl 0637.15019 Linear Multilinear Algebra 21, 321-323 (1987). Reviewer: T.B.Andersen MSC: 15A60 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 21, 321--323 (1987; Zbl 0637.15019) Full Text: DOI
Thompson, Robert C. Invariant factors of integral quaternion matrices. (English) Zbl 0634.15007 Linear Multilinear Algebra 21, 395-417 (1987). Reviewer: Tong Wenting MSC: 15B33 15A21 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 21, 395--417 (1987; Zbl 0634.15007) Full Text: DOI
Thompson, Robert C. Invariant factors of algebraic combinations of matrices. (English) Zbl 0622.15006 Frequency domain and state space methods for linear systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 73-87 (1986). Reviewer: G.N.de Oliveira MSC: 15B33 15A21 PDFBibTeX XML
Newman, Morris; Thompson, Robert C. Invariant factors and generalized Schur matrices. (English) Zbl 0607.15007 Linear Multilinear Algebra 19, 399-404 (1986). Reviewer: R.Ursianu MSC: 15A21 15B33 PDFBibTeX XMLCite \textit{M. Newman} and \textit{R. C. Thompson}, Linear Multilinear Algebra 19, 399--404 (1986; Zbl 0607.15007) Full Text: DOI
Thompson, Robert C. Proof of a conjectured exponential formula. (English) Zbl 0596.15025 Linear Multilinear Algebra 19, 187-197 (1986). Reviewer: J.Schwaiger MSC: 15A60 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 19, 187--197 (1986; Zbl 0596.15025) Full Text: DOI
Thompson, Robert C. Sums of integral matrices. (English) Zbl 0589.15011 Linear Multilinear Algebra 19, 173-186 (1986). Reviewer: Yueh-er Kuo MSC: 15B36 15B33 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 19, 173--186 (1986; Zbl 0589.15011) Full Text: DOI
Thompson, Robert C. Left multiples and right divisors of integral matrices. (English) Zbl 0589.15010 Linear Multilinear Algebra 19, 287-295 (1986). Reviewer: Yueh-er Kuo MSC: 15B36 15B33 15A23 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 19, 287--295 (1986; Zbl 0589.15010) Full Text: DOI
Thompson, Robert C. Smith invariants of a product of integral matrices. (English) Zbl 0592.15006 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 401-435 (1985). Reviewer: L.Bakule MSC: 15A30 16S50 15A45 15B57 16Gxx PDFBibTeX XML
Thompson, R. C. \(p\)-adic matrix valued inequalities. (English) Zbl 0577.15019 Linear Algebra Appl. 71, 299-308 (1985). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A60 15A45 15B33 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 71, 299--308 (1985; Zbl 0577.15019) Full Text: DOI
Thompson, Robert C. A converse to the Ostrowski-Taussky determinantal inequality. (English) Zbl 0524.15012 Linear Algebra Appl. 52-53, 693-699 (1983). MSC: 15A45 15A39 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 52--53, 693--699 (1983; Zbl 0524.15012)
Thompson, Robert C. Counterexamples concerning the diagonal elements of normal matrices. (English) Zbl 0508.15007 Linear Algebra Appl. 49, 285-291 (1983). MSC: 15A18 15A21 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 49, 285--291 (1983; Zbl 0508.15007) Full Text: DOI
Thompson, Robert C.; Tung Kuo, Chi-Chin Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. (English) Zbl 0524.15013 Acta Sci. Math. 44, 345-357 (1982). MSC: 15B51 20G20 15B33 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{C.-C. Tung Kuo}, Acta Sci. Math. 44, 345--357 (1982; Zbl 0524.15013)
Thompson, Robert C. An inequality for invariant factors. (English) Zbl 0503.15007 Proc. Am. Math. Soc. 86, 9-11 (1982). MSC: 15A39 15A21 15B36 PDFBibTeX XMLCite \textit{R. C. Thompson}, Proc. Am. Math. Soc. 86, 9--11 (1982; Zbl 0503.15007) Full Text: DOI
Thompson, Robert C. The Jacobi-Gundelfinger-Frobenius-Iohvidov rule and the Hasse symbol. (English) Zbl 0484.15020 Linear Algebra Appl. 44, 189-196 (1982). MSC: 15A63 11E16 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 44, 189--196 (1982; Zbl 0484.15020) Full Text: DOI
Thompson, Robert C. The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules. (English) Zbl 0483.15011 Linear Algebra Appl. 44, 197-201 (1982). MSC: 15B33 16S50 15A21 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 44, 197--201 (1982; Zbl 0483.15011) Full Text: DOI
Thompson, Robert C. The congruence numerical range. (English) Zbl 0445.15020 Linear Multilinear Algebra 8, 197-206 (1980). MSC: 15A60 15A42 15A63 15A39 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 8, 197--206 (1980; Zbl 0445.15020) Full Text: DOI
Thompson, Robert C. The Smith invariants of a matrix sum. (English) Zbl 0444.15011 Proc. Am. Math. Soc. 78, 162-164 (1980). MSC: 15B36 15A23 PDFBibTeX XMLCite \textit{R. C. Thompson}, Proc. Am. Math. Soc. 78, 162--164 (1980; Zbl 0444.15011) Full Text: DOI
Thompson, Robert C. Invariant factors under rank one perturbations. (English) Zbl 0393.15010 Can. J. Math. 32, 240-245 (1980). MSC: 15A23 15A24 PDFBibTeX XMLCite \textit{R. C. Thompson}, Can. J. Math. 32, 240--245 (1980; Zbl 0393.15010) Full Text: DOI
Thompson, R. C. Invariant factors of complementary minors of integral matrices. (English) Zbl 0427.15008 Houston J. Math. 5, 421-426 (1979). MSC: 15B33 15A23 PDFBibTeX XMLCite \textit{R. C. Thompson}, Houston J. Math. 5, 421--426 (1979; Zbl 0427.15008)
Thompson, R. C. Principal minors of complex symmetric and skew matrices. (English) Zbl 0419.15007 Linear Algebra Appl. 28, 249-255 (1979). MSC: 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 28, 249--255 (1979; Zbl 0419.15007) Full Text: DOI
Thompson, Robert C. The case of equality in the matrix-valued triangle inequality. (English) Zbl 0412.15013 Pac. J. Math. 82, 279-280 (1979). MSC: 15A45 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson}, Pac. J. Math. 82, 279--280 (1979; Zbl 0412.15013) Full Text: DOI
Thompson, Robert C. Singular values and diagonal elements of complex symmetric matrices. (English) Zbl 0408.15007 Linear Algebra Appl. 26, 65-106 (1979). MSC: 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 26, 65--106 (1979; Zbl 0408.15007) Full Text: DOI
Thompson, R. C. Interlacing inequalities for invariant factors. (English) Zbl 0395.15003 Linear Algebra Appl. 24, 1-31 (1979). MSC: 15A23 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 24, 1--31 (1979; Zbl 0395.15003) Full Text: DOI
Thompson, R. C. Matrix type metric inequalities. (English) Zbl 0433.15010 Linear Multilinear Algebra 5, 303-319 (1978). MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 5, 303--319 (1978; Zbl 0433.15010) Full Text: DOI
Thompson, R. C. Matrix type metric inequalities. (English) Zbl 0413.15010 Linear Multilinear Algebra 5, 303-319 (1978). MSC: 15A45 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Multilinear Algebra 5, 303--319 (1978; Zbl 0413.15010) Full Text: DOI
Hill, W. G.; Thompson, R. Probabilities of non-positive definite between-group or genetic covariance matrices. (English) Zbl 0406.62053 Biometrics 34, 429-439 (1978). MSC: 62J10 62H99 92D10 15A18 PDFBibTeX XMLCite \textit{W. G. Hill} and \textit{R. Thompson}, Biometrics 34, 429--439 (1978; Zbl 0406.62053) Full Text: DOI
Thompson, R. C.; Ishaq, M. The convex hull of signed rearrangements with prescribed sign parity. (English) Zbl 0368.15008 Linear Multilinear Algebra 5, 235-241 (1977). MSC: 15A45 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{M. Ishaq}, Linear Multilinear Algebra 5, 235--241 (1977; Zbl 0368.15008) Full Text: DOI
Thompson, R. C. Inertial properties of eigenvalues. II. (English) Zbl 0362.15010 J. Math. Anal. Appl. 58, 572-577 (1977). MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Math. Anal. Appl. 58, 572--577 (1977; Zbl 0362.15010) Full Text: DOI
Thompson, R. C. Singular values, diagonal elements, and convexity. (English) Zbl 0361.15009 SIAM J. Appl. Math. 32, 39-63 (1977). MSC: 15A18 15A15 15B51 PDFBibTeX XMLCite \textit{R. C. Thompson}, SIAM J. Appl. Math. 32, 39--63 (1977; Zbl 0361.15009) Full Text: DOI
Thompson, R. C. The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. (English) Zbl 0386.15011 Linear Algebra Appl. 14, 135-177 (1976). MSC: 15A21 15A42 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 14, 135--177 (1976; Zbl 0386.15011) Full Text: DOI
Thompson, R. C. On Iohvidov’s proofs of the Fischer-Frobenius theorem. (English) Zbl 0367.15011 J. Res. Natl. Bur. Stand., Sect. B 80, 269-272 (1976). MSC: 15A21 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Res. Natl. Bur. Stand., Sect. B 80, 269--272 (1976; Zbl 0367.15011) Full Text: DOI
Thompson, R. C. Convex and concave functions of singular values of matrix sums. (English) Zbl 0361.15014 Pac. J. Math. 66, 285-290 (1976). MSC: 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Pac. J. Math. 66, 285--290 (1976; Zbl 0361.15014) Full Text: DOI
Thompson, R. C. The behavior of eigenvalues and singular values under perturbations of restricted rank. (English) Zbl 0343.15007 Linear Algebra Appl. 13, 69-78 (1976). MSC: 15A42 15A45 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 13, 69--78 (1976; Zbl 0343.15007) Full Text: DOI
Thompson, R. C. A matrix inequality. (English) Zbl 0339.15008 Commentat. Math. Univ. Carol. 17, 393-397 (1976). MSC: 15A45 PDFBibTeX XMLCite \textit{R. C. Thompson}, Commentat. Math. Univ. Carol. 17, 393--397 (1976; Zbl 0339.15008) Full Text: EuDML
Thompson, R. C. The bilinear field of values. (English) Zbl 0337.15022 Monatsh. Math. 81, 153-167 (1976). MSC: 15A69 46C99 PDFBibTeX XMLCite \textit{R. C. Thompson}, Monatsh. Math. 81, 153--167 (1976; Zbl 0337.15022) Full Text: DOI EuDML
Thompson, R. C.; Gordon, Z. Sections of matrix pairs: The second interlacing principle. (English) Zbl 0333.15005 Houston J. Math. 2, 427-437 (1976). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{Z. Gordon}, Houston J. Math. 2, 427--437 (1976; Zbl 0333.15005)
Thompson, R. C. The singular value range of a matrix sum or product. (English) Zbl 0343.15009 Bull. Inst. Math., Acad. Sin. 3, 275-281 (1975). MSC: 15A45 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Bull. Inst. Math., Acad. Sin. 3, 275--281 (1975; Zbl 0343.15009)
Thompson, R. C. Singular value inequalities for matrix sums and minors. (English) Zbl 0343.15008 Linear Algebra Appl. 11, 251-269 (1975). MSC: 15A45 15A03 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 11, 251--269 (1975; Zbl 0343.15008) Full Text: DOI
Thompson, R. C. Extreme determinants on the convex hull of matrices with prescribed singular values. (English) Zbl 0334.15013 Linear Multilinear Algebra 3, 15-17 (1975). MSC: 15A45 15A15 52A40 PDFBibTeX XML
Thompson, R. C. The intersection of the convex hulls of proper and improper real matrices with prescribed singular values. (English) Zbl 0333.15011 Linear Multilinear Algebra 3, 155-160 (1975). MSC: 15A45 52A40 PDFBibTeX XML
Thompson, R. C. Dissipative matrices and the matrix \(A^{-1}A^*\). (English) Zbl 0333.15010 Houston J. Math. 1, 137-147 (1975). MSC: 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Houston J. Math. 1, 137--147 (1975; Zbl 0333.15010)
Thompson, R. C. Dissipative matrices and related results. (English) Zbl 0308.15008 Linear Algebra Appl. 11, 155-169 (1975). MSC: 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 11, 155--169 (1975; Zbl 0308.15008) Full Text: DOI
Thompson, R. C. The eigenvalues of a partitioned Hermitian matrix involving a parameter. (English) Zbl 0307.15007 Linear Algebra Appl. 9, 243-260 (1974). MSC: 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 9, 243--260 (1974; Zbl 0307.15007) Full Text: DOI
Thompson, R. C. On the eigenvalues of a product of unitary matrices. I. (English) Zbl 0306.15005 Linear Multilinear Algebra 2, 13-24 (1974). MSC: 15A42 15A18 15B57 PDFBibTeX XML Full Text: DOI
Thompson, R. C.; Therianos, S. On a construction of B. P. Zwahlen. (English) Zbl 0305.15009 Linear Multilinear Algebra 1, 309-325 (1974). MSC: 15A42 15B57 PDFBibTeX XML Full Text: DOI
Thompson, R. C.; Therianos, S. The eigenvalues and singular values of matrix sums and products. VII. (English) Zbl 0313.15012 Can. Math. Bull. 16, 561-569 (1973). MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Can. Math. Bull. 16, 561--569 (1973; Zbl 0313.15012) Full Text: DOI
Thompson, R. C.; Therianos, S. On the singular values of matrix products. III. (English) Zbl 0265.15008 Scripta Math. 29, 115-123 (1973). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Scripta Math. 29, 115--123 (1973; Zbl 0265.15008)
Thompson, R. C. On the singular values of matrix products. II. (English) Zbl 0265.15007 Scripta Math. 29, 111-114 (1973). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Scripta Math. 29, 111--114 (1973; Zbl 0265.15007)
Thompson, R. C.; Therianos, S. On the singular values of matrix products. I. (English) Zbl 0265.15006 Scripta Math. 29, 99-110 (1973). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Scripta Math. 29, 99--110 (1973; Zbl 0265.15006)
Thompson, R. C. Inertial properties of eigenvalues. (English) Zbl 0259.15007 J. Math. Anal. Appl. 41, 192-198 (1973). MSC: 15A18 15B57 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Math. Anal. Appl. 41, 192--198 (1973; Zbl 0259.15007) Full Text: DOI
Garbanati, Dennis; Thompson, Robert C. Skew circulant quadratic forms. (English) Zbl 0269.10011 J. Number Theory 4, 557-572 (1972). Reviewer: Clas-Olof Selenius (Uppsala) MSC: 11E16 15B57 15A63 PDFBibTeX XMLCite \textit{D. Garbanati} and \textit{R. C. Thompson}, J. Number Theory 4, 557--572 (1972; Zbl 0269.10011) Full Text: DOI
Garbanati, Dennis; Thompson, Robert C. Classes of unimodular Abelian group matrices. (English) Zbl 0257.20040 Pac. J. Math. 43, 633-646 (1972). MSC: 20K99 15B36 PDFBibTeX XMLCite \textit{D. Garbanati} and \textit{R. C. Thompson}, Pac. J. Math. 43, 633--646 (1972; Zbl 0257.20040) Full Text: DOI
Thompson, R. C. Principal submatrices. VIII: Principal sections of a pair of forms. (English) Zbl 0256.15013 Rocky Mt. J. Math. 2, 97-110 (1972). MSC: 15A18 15A42 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson}, Rocky Mt. J. Math. 2, 97--110 (1972; Zbl 0256.15013) Full Text: DOI
Thompson, R. C.; Therianos, S. The eigenvalues of complementary principal submatrices of a positive definite matrix. (English) Zbl 0256.15012 Can. J. Math. 24, 658-667 (1972). MSC: 15A18 15B57 15B48 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Can. J. Math. 24, 658--667 (1972; Zbl 0256.15012) Full Text: DOI
Thompson, R. C. Principal submatrices. IX: Interlacing inequalities for singular values of submatrices. (English) Zbl 0252.15009 Linear Algebra Appl. 5, 1-12 (1972). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 5, 1--12 (1972; Zbl 0252.15009) Full Text: DOI
Thompson, Robert C.; Therianos, S. Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices. (English) Zbl 0233.15016 Bull. Aust. Math. Soc. 6, 117-132 (1972). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Bull. Aust. Math. Soc. 6, 117--132 (1972; Zbl 0233.15016) Full Text: DOI
Thompson, Robert C.; Freede Garbanati, Linda Eigenvalues of sums of Hermitian matrices. III. (English) Zbl 0265.15009 J. Res. Natl. Bur. Stand., Sect. B 75, 115-120 (1971). MSC: 15A42 15A39 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{L. Freede Garbanati}, J. Res. Natl. Bur. Stand., Sect. B 75, 115--120 (1971; Zbl 0265.15009) Full Text: DOI
Thompson, R. C.; Therianos, S. The eigenvalues and singular values of matrix sums and product. VIII: Displacement of indices. (English) Zbl 0233.15017 Aequationes Math. 7, 219-242 (1971). MSC: 15A18 15B57 15A42 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{S. Therianos}, Aequationes Math. 7, 219--242 (1971; Zbl 0233.15017) Full Text: DOI EuDML
Thompson, Robert C.; Freede, Linda J. On the eigenvalues of sums of Hermitian matrices. (English) Zbl 0228.15005 Linear Algebra Appl. 4, 369-376 (1971). MSC: 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{L. J. Freede}, Linear Algebra Appl. 4, 369--376 (1971; Zbl 0228.15005) Full Text: DOI
Thompson, R. C. On the real and absolute singular values of a matrix product. (English) Zbl 0218.15006 Linear Algebra Appl. 4, 243-254 (1971). MSC: 15A24 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 4, 243--254 (1971; Zbl 0218.15006) Full Text: DOI
Thompson, Robert C. Some matrix factorization theorems. II. (English) Zbl 0251.15014 Pac. J. Math. 33, 811-822 (1970). MSC: 15A24 15A69 PDFBibTeX XMLCite \textit{R. C. Thompson}, Pac. J. Math. 33, 811--822 (1970; Zbl 0251.15014) Full Text: DOI
Thompson, Robert C. Some matrix factorization theorems. I. (English) Zbl 0233.15012 Pac. J. Math. 33, 763-810 (1970). MSC: 15A23 15A24 15A69 PDFBibTeX XMLCite \textit{R. C. Thompson}, Pac. J. Math. 33, 763--810 (1970; Zbl 0233.15012) Full Text: DOI
Thompson, Robert C.; Freede, Linda J. On the eigenvalues of sums of Hermitian matrices. II. (English) Zbl 0228.15006 Aequationes Math. 5, 103-115 (1970). MSC: 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{L. J. Freede}, Aequationes Math. 5, 103--115 (1970; Zbl 0228.15006) Full Text: DOI EuDML
Thompson, Robert C.; Yaqub, Adil Introduction to linear algebra. (English) Zbl 0221.15002 Glenview, Ill. etc.: Scott, Foresman & Company. 292 p. £4.50 (1970). MSC: 15-XX 15-01 PDFBibTeX XML
Thompson, R. C. The L property for singular values. (English) Zbl 0198.05302 Linear Algebra Appl. 3, 179-183 (1970). Reviewer: G. N. de Oliveira MSC: 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 3, 179--183 (1970; Zbl 0198.05302) Full Text: DOI
Thompson, R. C. Principal submatrices. VI: Cases of equality in certain linear inequalities. (English) Zbl 0224.15016 Linear Algebra Appl. 2, 375-379 (1969). MSC: 15A42 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 2, 375--379 (1969; Zbl 0224.15016) Full Text: DOI
Thompson, R. C. Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices. (English) Zbl 0224.15014 Linear Algebra Appl. 2, 355-374 (1969). MSC: 15A42 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, Linear Algebra Appl. 2, 355--374 (1969; Zbl 0224.15014) Full Text: DOI
Thompson, R. C. Principal submatrices VII: Further results concerning matrices with equal principal minors. (English) Zbl 0224.15017 J. Res. Natl. Bur. Stand., Sect. B 72, 249-252 (1968). MSC: 15A99 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Res. Natl. Bur. Stand., Sect. B 72, 249--252 (1968; Zbl 0224.15017) Full Text: DOI
Thompson, R. C. Principal submatrices. V: Some results concerning principal submatrices of arbitrary matrices. (English) Zbl 0224.15015 J. Res. Natl. Bur. Stand., Sect. B 72, 115-125 (1968). MSC: 15A42 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Res. Natl. Bur. Stand., Sect. B 72, 115--125 (1968; Zbl 0224.15015) Full Text: DOI
Thompson, R. C. Principal submatrices. III: Linear inequalities. (English) Zbl 0224.15013 J. Res. Natl. Bur. Stand., Sect. B 72, 7-22 (1968). MSC: 15A42 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson}, J. Res. Natl. Bur. Stand., Sect. B 72, 7--22 (1968; Zbl 0224.15013) Full Text: DOI
Thompson, R. C.; McEnteggert, P. Principal submatrices. II: The upper and lower quadratic inequalities. (English) Zbl 0224.15012 Linear Algebra Appl. 1, 211-243 (1968). MSC: 15A42 15B57 15A18 PDFBibTeX XMLCite \textit{R. C. Thompson} and \textit{P. McEnteggert}, Linear Algebra Appl. 1, 211--243 (1968; Zbl 0224.15012) Full Text: DOI
Gaines, Fergus J.; Thompson, R. C. Sets of nearly triangular matrices. (English) Zbl 0174.31802 Duke Math. J. 35, 441-453 (1968). Reviewer: Fergus J. Gaines MSC: 15-XX PDFBibTeX XMLCite \textit{F. J. Gaines} and \textit{R. C. Thompson}, Duke Math. J. 35, 441--453 (1968; Zbl 0174.31802) Full Text: DOI
Thompson, R. C. Generalizations of a well-known result in matrix theory. (English) Zbl 0216.06103 Proc. Glasg. Math. Assoc. 7, 29-31 (1965). MSC: 15A24 PDFBibTeX XMLCite \textit{R. C. Thompson}, Proc. Glasg. Math. Assoc. 7, 29--31 (1965; Zbl 0216.06103) Full Text: DOI
Thompson, R. C. A note on normal matrices. (English) Zbl 0129.26603 Can. J. Math. 15, 220-225 (1963). Reviewer: S. Swaminathan MSC: 15A18 15A21 15B57 PDFBibTeX XMLCite \textit{R. C. Thompson}, Can. J. Math. 15, 220--225 (1963; Zbl 0129.26603) Full Text: DOI