Saturday, October 18, 2008

 

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Robert C. Thompson Matrix Meeting 2008

UCUCSB

  Conference in honor of professor Robert C. Thompson

 

 

RCTM'08

Short Biography

List of Publications

RCTM’07

Math Genealogical Tree

Links

 

bill1

 

Short Biography

  • Born 1931
  • B. Sc. (British columbia, 1955)
  • M. Sc. (British columbia, 1957)
  • Ph. D. (CalTech, 1960), advisor: Olga Taussky
  • Professor (University of California, Santa Barbara, 1963 -- 1995)
  • Died December 10, 1995

 

 

List of Publications (inverse chronological order)

  1. MR1785032 (2001d:15012) So, Wasin; Thompson, Robert C. Singular values of matrix exponentials.  Linear and Multilinear Algebra  47  (2000),  no. 3, 249--258. 15A18 (15A45)
  2. MR1644987 (99f:15009) Day, Jane; So, Wasin; Thompson, Robert C. The spectrum of a Hermitian matrix sum. Linear Algebra Appl. 280 (1998), no. 2-3, 289--332. 15A18 (47A75)
  3. MR1436671 (98d:15026) Thompson, Robert C. The upper numerical range of a quaternionic matrix is not a complex numerical range. Proceedings of the Fifth Conference of the International Linear Algebra Society (Atlanta, GA, 1995). Linear Algebra Appl. 254 (1997), 19—28. 15A60
  4. MR1481908 (98j:15023) So, Wasin; Thompson, Robert C. Convexity of the upper complex plane part of the numerical range of a quaternionic matrix. Linear and Multilinear Algebra 41 (1996), no. 4, 303—365. 15A33 (15A60)
  5. MR1416449 (97e:15013) Miranda, Hector; Thompson, Robert C. A supplement to the von Neumann trace inequality for singular values. Linear Algebra Appl. 248 (1996), 61--66. 15A42
  6. MR1334588 (96d:15028) Thompson, Robert C. Root spreads for polynomials and Hermitian matrix pencils. Proceedings of the Workshop "Nonnegative Matrices, Applications and Generalizations" and the Eighth Haifa Matrix Theory Conference (Haifa, 1993). Linear Algebra Appl. 220 (1995), 419--433. 15A45 (15A22)
  7. MR1313766 (96a:15029) So, Wasin; Thompson, Robert C.; Zhang, Fu Zhen The numerical range of normal matrices with quaternion entries. Special Issue: The numerical range and numerical radius. Linear and Multilinear Algebra 37 (1994), no. 1-3, 175--195. 15A60 (15A18 15A33)
  8. MR1282706 (95f:15010) Thompson, Robert C. The diagonal torus of a matrix under special unitary equivalence. SIAM J. Matrix Anal. Appl. 15 (1994), no. 3, 968--973. 15A18 (15A42)
  9. MR1274885 (95b:15008) Newman, Morris; Thompson, Robert C. A counterexample connected with Ger\v sgorin's theorem. Linear Algebra Appl. 201 (1994), 165--169. 15A18
  10. MR1274411 (95a:15007) Miranda, Hector F.; Thompson, Robert C. Group majorization, the convex hulls of sets of matrices, and the diagonal element--singular value inequalities. Linear Algebra Appl. 199 (1994), 131--141. 15A18
  11. MR1213177 (94a:15030) Miranda, H.; Thompson, Robert C. A trace inequality with a subtracted term. Linear Algebra Appl. 185 (1993), 165--172. 15A42 (47A30)
  12. MR1238014 (94e:15045) Thompson, Robert C. The eigenvalue spreads of a Hermitian matrix and its principal submatrices. Linear and Multilinear Algebra 32 (1992), no. 3-4, 327—333. 15A42 (15A45 15A60)
  13. MR1148395 (92k:15006) Thompson, Robert C. High, low, and quantitative roads in linear algebra. Directions in matrix theory (Auburn, AL, 1990). Linear Algebra Appl. 162/164 (1992), 23--64. 15-03 (01A67 15-01)
  14. MR1119455 (92f:15013) So, W.; Thompson, Robert C. Products of exponentials of Hermitian and complex symmetric matrices. Linear and Multilinear Algebra 29 (1991), no. 3-4, 225--233. 15A57 (15A24)
  15. MR1119454 (92m:17049) Day, J.; So, W.; Thompson, Robert C. Some properties of the Campbell-Baker-Hausdorff series. Linear and Multilinear Algebra 29 (1991), no. 3-4, 207--224. 17B99 (22E15)
  16. MR1088668 (91k:15031) Thompson, Robert C. Pencils of complex and real symmetric and skew matrices. Linear Algebra Appl. 147 (1991), 323--371. 15A21 (15A54)
  17. MR1088667 (92b:15020) Li Santi, Barbara A.; Thompson, Robert C. Simultaneous reduction of a complex skew matrix and a Hermitian matrix. Linear Algebra Appl. 147 (1991), 275--322. 15A21
  18. MR1080673 (91k:15028) Newman, Morris; Thompson, Robert C. Matrices over rings of algebraic integers. Linear Algebra Appl. 145 (1991), 1--20. 15A21 (15A33)
  19.  
  20. MR1038325 (91b:15020) Thompson, Robert C. Divisibility relations satisfied by the invariant factors of a matrix product. The Gohberg anniversary collection, Vol. I (Calgary, AB, 1988), 471--491, Oper. Theory Adv. Appl., 40, Birkhäuser, Basel, 1989. 15A23 (05E10 15A18 15A33)
  21. MR1011724 (90i:22011) Thompson, Robert C. Convergence proof for Goldberg's exponential series. Linear algebra and applications (Valencia, 1987). Linear Algebra Appl. 121 (1989), 3--7. 22E05 (17B05 46H70)
  22. MR1010045 (90h:17011) Thompson, Robert C. Cyclic shifts and an exponential formula. Proceedings of the Fourth Haifa Matrix Theory Conference (Haifa, 1988). Linear Algebra Appl. 120 (1989), 9--21. 17B10 (15A24)
  23. MR1007265 (91e:17028) Newman, Morris; So, Wasin; Thompson, Robert C. Convergence domains for the Campbell-Baker-Hausdorff formula. Linear and Multilinear Algebra 24 (1989), no. 4, 301--310. 17B99
  24. MR1007026 (90e:15020) Thompson, Robert C. The matrix valued triangle inequality: quaternion version. Linear and Multilinear Algebra 25 (1989), no. 1, 85--91. 15A33 (15A18 15A45)
  25. MR1007010 (90f:15012) Thompson, Robert C. A divisibility nonrelation for the Smith invariants of a product of integral matrices. Linear and Multilinear Algebra 23 (1988), no. 3, 277--282. 15A21 (15A36)
  26. MR0960151 (89i:15020) Thompson, Robert C. Special cases of a matrix exponential formula. Proceedings of the Victoria Conference on Combinatorial Matrix Analysis (Victoria, BC, 1987). Linear Algebra Appl. 107 (1988), 283--292. (Reviewer: Shao Kuan Li) 15A24
  27. MR0936565 (89b:15022) Thompson, Robert C. Invariant factors of integral quaternion matrices. II. Linear and Multilinear Algebra 22 (1987), no. 1, 103--112. (Reviewer: Morris Newman) 15A33 (15A21)
  28. MR0928751 (89b:15015) Thompson, Robert C. Invariant factors of integral quaternion matrices. Linear and Multilinear Algebra 21 (1987), no. 4, 395--417. (Reviewer: Morris Newman) 15A21 (15A33)
  29. MR0898924 (89b:12006) Thompson, Robert C. Resultants, bigradients, and integral polynomials. Current trends in matrix theory (Auburn, Ala., 1986), 369--398, North-Holland, New York, 1987. 12E99 (15A15)
  30. MR0866114 (88i:17007) Newman, Morris; Thompson, Robert C. Numerical values of Goldberg's coefficients in the series for ${\rm log}(e\sp xe\sp y)$. With microfiche supplement. Math. Comp. 48 (1987), no. 177, 265--271. 17B05 (11Y99 17-04)
  31. MR0924201 (89c:15001) Thompson, Robert C. Invariant factors of algebraic combinations of matrices. Frequency domain and state space methods for linear systems (Stockholm, 1985), 73--87, North-Holland, Amsterdam, 1986. (Reviewer: Lawrence S. Levy) 15-02 (15A33)
  32. MR0860728 (87k:15021) Newman, Morris; Thompson, Robert C. Invariant factors and generalized Schur matrices. Linear and Multilinear Algebra 19 (1986), no. 4, 399--404. (Reviewer: B. Reichstein) 15A33 (15A21)
  33. MR0846560 (87f:15012) Thompson, Robert C. Left multiples and right divisors of integral matrices. Linear and Multilinear Algebra 19 (1986), no. 3, 287--295. (Reviewer: William H. Gustafson) 15A36 (11C20)
  34. MR0846553 (88b:15020) Thompson, Robert C. Proof of a conjectured exponential formula. Linear and Multilinear Algebra 19 (1986), no. 2, 187--197. (Reviewer: Chandler Davis) 15A42 (15A24)
  35. MR0846552 (88g:15007) Thompson, Robert C. Sums of integral matrices. Linear and Multilinear Algebra 19 (1986), no. 2, 173--186. (Reviewer: Robert M. McConnel) 15A21 (15A36)
  36. MR0860180 (87m:15059) Tam, Tin Yau Note on a paper of R. C. Thompson: "The congruence numerical range" [Linear and Multilinear Algebra 8 (1979/80), no. 3, 197--206; MR0560560 (81b:15026)]. Linear and Multilinear Algebra 17 (1985), no. 2, 107--115. (Reviewer: B. N. Moyls) 15A60 (15A63 47A12)
  37. MR0828316 (87k:15024) Thompson, Robert C. Smith invariants of a product of integral matrices. Linear algebra and its role in systems theory (Brunswick, Maine, 1984), 401--435, Contemp. Math., 47, Amer. Math. Soc., Providence, RI, 1985. (Reviewer: Thomas Laffey) 15A36 (15A33)
  38. MR0813055 (87h:15011) Thompson, R. C. $p$-adic matrix valued inequalities. Linear Algebra Appl. 71 (1985), 299--308. (Reviewer: Bryan E. Cain) 15A33 (15A45 15A60)
  39. MR0723938 (85c:01072) Thompson, Robert C. Author vs. referee: a case history for middle level mathematicians. Amer. Math. Monthly 90 (1983), no. 10, 661--668. 01A80 (00A99 15A36)
  40. MR0688392 (84e:15019) Thompson, Robert C. Counterexamples concerning the diagonal elements of normal matrices. Linear Algebra Appl. 49 (1983), 285--291. (Reviewer: Yik-Hoi Au-Yeung) 15A42 (15A18)
  41. MR0709380 (85e:15010) Thompson, Robert C. A converse to the Ostrowski-Taussky determinantal inequality. Linear Algebra Appl. 52/53 (1983), 693--699. (Reviewer: Larry Basen\v spiler) 15A15 (15A45)
  42. MR0663855 (84e:17017) Thompson, Robert C. Cyclic relations and the Goldberg coefficients in the Campbell-Baker-Hausdorff formula. Proc. Amer. Math. Soc. 86 (1982), no. 1, 12--14. (Reviewer: Y. Lehrer-Ilamed) 17B99
  43. MR0684392 (84c:15031) Thompson, Robert C.; Kuo, Chi-Chin Tung Doubly stochastic, unitary, unimodular, and complex orthogonal power embeddings. Acta Sci. Math. (Szeged) 44 (1982), no. 3-4, 345--357 (1983). (Reviewer: Ray C. Shiflett) 15A57 (47A65)
  44. MR0663854 (83k:15014) Thompson, Robert C. An inequality for invariant factors. Proc. Amer. Math. Soc. 86 (1982), no. 1, 9--11. (Reviewer: Thomas Laffey) 15A36 (15A39)
  45. MR0657709 (83j:10022) Thompson, Robert C. The Jacobi-Gundelfinger-Frobenius-Iohvidov rule and the Hasse symbol. Linear Algebra Appl. 44 (1982), 189--196. (Reviewer: Yik-Hoi Au-Yeung) 10C05 (01A60 12A25 15A63)
  46. MR0657710 (83g:15009) Thompson, Robert C. The Smith form, the inversion rule for $2\times 2$ matrices, and the uniqueness of the invariant factors for finitely generated modules. Linear Algebra Appl. 44 (1982), 197--201. (Reviewer: William H. Gustafson) 15A21 (15A09 15A30)
  47. MR0559798 (81f:15028) Thompson, Robert C. Invariant factors under rank one perturbations. Canad. J. Math. 32 (1980), no. 1, 240--245. (Reviewer: J. L. Zemmer) 15A36 (15A18)
  48. MR0550485 (80i:15014) Thompson, Robert C. The Smith invariants of a matrix sum. Proc. Amer. Math. Soc. 78 (1980), no. 2, 162--164. (Reviewer: Thomas H. Foregger) 15A36 (15A21)
  49. MR0524823 (81g:15014) Thompson, R. C. Interlacing inequalities for invariant factors. Linear Algebra Appl. 24 (1979), 1--31. 15A33 (15A45)
  50. MR0559981 (81c:15015) Thompson, R. C. Invariant factors of complementary minors of integral matrices. Houston J. Math. 5 (1979), no. 3, 421--426. (Reviewer: Thomas Laffey) 15A21
  51. MR0560560 (81b:15026) Thompson, Robert C. The congruence numerical range. Linear and Multilinear Algebra 8 (1979/80), no. 3, 197--206. (Reviewer: B. N. Moyls) 15A63 (15A60 47A12)
  52. MR0549850 (80k:15027) Thompson, Robert C. The case of equality in the matrix-valued triangle inequality. Pacific J. Math. 82 (1979), no. 1, 279--280. (Reviewer: Marvin Marcus) 15A45 (15A23)
  53. MR0549438 (80j:15007) Thompson, R. C. Principal minors of complex symmetric and skew matrices. Linear Algebra Appl. 28 (1979), 249--255. (Reviewer: C. F. Moppert) 15A18 (15A42)
  54. MR0535680 (80f:15011) Thompson, Robert C. Singular values and diagonal elements of complex symmetric matrices. Linear Algebra Appl. 26 (1979), 65--106. (Reviewer: E. Deutsch) 15A18 (15A42 15A57)
  55. MR0498639 (58 #16725) Thompson, R. C. Matrix type metric inequalities. Linear and Multilinear Algebra 5 (1977/78), no. 4, 303--319. (Reviewer: E. Deutsch) 15A45
  56. MR0464067 (57 #4004) Thompson, R. C.; Ishaq, M. The convex hull of signed rearrangements with prescribed sign parity. Linear and Multilinear Algebra 5 (1977/78), no. 3, 235--241. (Reviewer: J. G. Horne) 52A20
  57. MR0444685 (56 #3035) Thompson, R. C. Inertial properties of eigenvalues. II. J. Math. Anal. Appl. 58 (1977), no. 3, 572--577. (Reviewer: B. N. Moyls) 15A42
  58. MR0424847 (54 #12805) Thompson, R. C. Singular values, diagonal elements, and convexity. SIAM J. Appl. Math. 32 (1977), no. 1, 39--63. (Reviewer: L. Mirsky) 15A18 (65F15)
  59. MR0476781 (57 #16335) Thompson, R. C. The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil. Linear Algebra and Appl. 14 (1976), no. 2, 135--177. 15A57 (15A18)
  60. MR0441999 (56 #388) Thompson, R. C. On Iohvidov's proofs of the Fischer-Frobenius theorem. J. Res. Nat. Bur. Standards Sect. B 80B (1976), no. 2, 269--272. (Reviewer: D. J. Hartfiel) 15A30
  61. MR0435104 (55 #8066) Thompson, R. C. Convex and concave functions of singular values of matrix sums. Pacific J. Math. 66 (1976), no. 1, 285--290. (Reviewer: Harald K. Wimmer) 15A45
  62. MR0427341 (55 #375) Thompson, R. C.; Gordon, Z. Sections of matrix pairs: the second interlacing principle. Houston J. Math. 2 (1976), no. 3, 427--437. (Reviewer: Robert J. Wernick) 15A42
  63. MR0419482 (54 #7503) Thompson, R. C. A matrix inequality. Comment. Math. Univ. Carolinae 17 (1976), no. 2, 393--397. (Reviewer: D. London) 15A45
  64. MR0407051 (53 #10834) Thompson, R. C. The behavior of eigenvalues and singular values under perturbations of restricted rank. Collection of articles dedicated to Olga Taussky Todd. Linear Algebra and Appl. 13 (1976), no. 1/2, 69--78. (Reviewer: George P. H. Styan) 15A42
  65. MR0404296 (53 #8098) Thompson, R. C. The bilinear field of values. Monatsh. Math. 81 (1976), no. 2, 153--167. (Reviewer: L. M. Chawla) 15A42
  66. MR0424846 (54 #12804) Thompson, R. C. The intersection of the convex hulls of proper and improper real matrices with prescribed singular values. Collection of articles dedicated to Olga Taussky-Todd. Linear and Multilinear Algebra 3 (1975/76), no. 1/2, 155--160. (Reviewer: M. Shafqat Ali) 15A18
  67. MR0414581 (54 #2682) Thompson, R. C. Extreme determinants on the convex hull of matrices with prescribed singular values. Collection of articles dedicated to Olga Taussky-Todd. Linear and Multilinear Algebra 3 (1975/76), no. 1/2, 15--17. (Reviewer: M. Shafqat Ali) 15A15
  68. MR0399136 (53 #2987) Thompson, R. C. Singular value inequalities for matrix sums and minors. Linear Algebra and Appl. 11 (1975), no. 3, 251--269. (Reviewer: M. F. Smiley) 15A42
  69. MR0384368 (52 #5245) $\{$Collection of articles dedicated to Olga Taussky-Todd$\}$. Edited by Marvin Marcus and Robert C. Thompson. Linear and Multilinear Algebra 3 (1975/76), no. 1-2. Gordon and Breach, New York-London-Paris, 1975. pp. 1--168. 00A10 (01A70 15-06)
  70. MR0382311 (52 #3196) Thompson, R. C. The singular value range of a matrix sum or product. Bull. Inst. Math. Acad. Sinica 3 (1975), no. 2, 275--281. (Reviewer: D. J. Hartfiel) 15A42
  71. MR0379539 (52 #444) Thompson, R. C. Dissipative matrices and related results. Linear Algebra and Appl. 11 (1975), no. 2, 155--169. (Reviewer: Donald Kershaw) 15A42
  72. MR0379538 (52 #443) Thompson, R. C. Dissipative matrices and the matrix $A\sp{-1}A$. Houston J. Math. 1 (1975), no. 1, 137--147. (Reviewer: B. Levinger) 15A42
  73. MR0352127 (50 #4614) Thompson, R. C. On the eigenvalues of a product of unitary matrices. I. Linear and multilinear Algebra 2 (1974), 13--24. (Reviewer: B. N. Moyls) 15A18
  74. MR0352126 (50 #4613) Thompson, R. C. The eigenvalues of a partitioned Hermitian matrix involving a parameter. Linear Algebra and Appl. 9 (1974), 243--260. (Reviewer: B. N. Moyls) 15A18
  75. MR0396623 (53 #485) Thompson, R. C. Inertial properties of eigenvalues. J. Math. Anal. Appl. 41 (1973), 192--198. (Reviewer: B. N. Moyls) 15A42
  76. MR0352142 (50 #4629) Thompson, R. C.; Therianos, S. The eigenvalues and singular values of matrix sums and products. VII. Canad. Math. Bull. 16 (1973), 561--569. (Reviewer: Marvin Marcus) 15A42
  77. MR0340289 (49 #5044) Thompson, R. C.; Therianos, S. On a construction of B. P. Zwahlen. Linear and Multilinear Algebra 1 (1973/74), 309--325. (Reviewer: J. de Pillis) 15A42
  78. MR0338034 (49 #2801) Thompson, R. C.; Therianos, S. On the singular values of matrix products. III. Scripta Math. 29, 115--123. (1973). (Reviewer: Marvin Marcus) 15A42
  79. MR0338033 (49 #2800) Thompson, R. C. On the singular values of matrix products. II. Scripta Math. 29, 111--114. (1973). (Reviewer: Marvin Marcus) 15A42
  80. MR0338032 (49 #2799) Thompson, R. C.; Therianos, S. On the singular values of matrix products. I. Scripta Math. 29 99--110. (1973). (Reviewer: Marvin Marcus) 15A42
  81. MR0327795 (48 #6137) Thompson, Robert C.; Therianos, S. Inequalities connecting the eigenvalues of a Hermitian matrix with the eigenvalues of complementary principal submatrices. Bull. Austral. Math. Soc. 6 (1972), 117--132. (Reviewer: M. F. Smiley) 15A42
  82. MR0316573 (47 #5120) Garbanati, Dennis; Thompson, Robert C. Classes of unimodular abelian group matrices. Pacific J. Math. 43 (1972), 633--646. (Reviewer: W. Ledermann) 20E35
  83. MR0313280 (47 #1835) Garbanati, Dennis; Thompson, Robert C. Skew circulant quadratic forms. J. Number Theory 4 (1972), 557--572. (Reviewer: Ron Brown) 15A63 (10C05)
  84. MR0297791 (45 #6843) Thompson, R. C. Principal submatrices. IX. Interlacing inequalities for singular values of submatrices. Linear Algebra and Appl. 5 (1972), 1--12. (Reviewer: E. Deutsch) 15A42
  85. MR0294375 (45 #3445) Thompson, R. C.; Therianos, S. The eigenvalues of complementary principal submatrices of a positive definite matrix. Canad. J. Math. 24 (1972), 658--667. (Reviewer: A. R. Amir-Moez) 15A48
  86. MR0294362 (45 #3432) Thompson, R. C. Principal submatrices. VIII. Principal sections of a pair of forms. Rocky Mountain J. Math. 2 (1972), no. 1, 97--110. (Reviewer: Marvin Marcus) 15A18
  87. MR0338016 (49 #2783) Thompson, R. C.; Therianos, S. The eigenvalues and singular values of matrix sums and product. VIII. Displacement of indices. Aequationes Math. 7 (1971), 219--242. (Reviewer: A.R. Amir-Moez) 15A18
  88. MR0309976 (46 #9079) Thompson, Robert C.; Garbanati, Linda Freede Eigenvalues of sums of Hermitian matrices. III. J. Res. Nat. Bur. Standards Sect. B 75B (1971), 115--120. (Reviewer: A. R. Amir-Moez) 15A57
  89. MR0288132 (44 #5330) Thompson, Robert C.; Freede, Linda J. On the eigenvalues of sums of Hermitian matrices. Linear Algebra and Appl. 4 1971 369--376. (Reviewer: A. R. Amir-Moéz) 15.25
  90. MR0281729 (43 #7444) Thompson, R. C. On the real and absolute singular values of a matrix product. Linear Algebra and Appl. 4 1971 243--254. (Reviewer: A. R. Amir-Moéz) 15.55
  91. MR0292866 (45 #1948) Thompson, Robert C.; Freede, Linda J. On the eigenvalues of sums of Hermitian matrices. II. Aequationes Math 5 (1970), 103--115. (Reviewer: A. R. Amir-Moez) 15A18
  92. MR0265376 (42 #286) Thompson, Robert C.; Freede, Linda J. Eigenvalues of partitioned hermitian matrices. Bull. Austral. Math. Soc. 3 1970 23--37. (Reviewer: A. R. Amir-Moéz) 15.25
  93. MR0263846 (41 #8445) Thompson, Robert C. Some matrix factorization theorems. I, II. Pacific J. Math. 33 (1970), 763-810; ibid. 33 1970 811--822. (Reviewer: C. F. Moppert) 15.30
  94. MR0262261 (41 #6871) Thompson, R. C. The ${\rm L}$ property for singular values. Linear Algebra and Appl. 3 1970 179--183. (Reviewer: M. Lotkin) 15.25
  95. MR0266939 (42 #1841) Thompson, R. C. On Pearl's paper "A decomposition theorem for matrices". Canad. Math. Bull. 12 1969 805--808. (Reviewer: H.-O. Kreiss) 15.30
  96. MR0248153 (40 #1407) Thompson, R. C. On the matrices $A$ and $f(A)$. Canad. Math. Bull. 12 1969 581--587. (Reviewer: M. F. Smiley) 15.40
  97. MR0245602 (39 #6908) Thompson, R. C. Principal submatrices. VI. Cases of equality in certain linear inequalities. Linear Algebra and Appl. 2 1969 375--379. (Reviewer: Marvin Marcus) 15.55
  98. MR0245601 (39 #6907) Thompson, R. C. Principal submatrices. IV. On the independence of the eigenvalues of different principal submatrices.  Linear Algebra and Appl.  2  1969 355--374. (Reviewer: Marvin Marcus) 15.55
  99. MR0244283 (39 #5598) Thompson, R. C. Principal submatrices. VII. Further results concerning matrices with equal principal minors. J. Res. Nat. Bur. Standards Sect. B 72B 1968 249--252. (Reviewer: Marvin Marcus) 15.25
  100. MR0244282 (39 #5597) Thompson, R. C. Principal submatrices. V. Some results concerning principal submatrices of arbitrary matrices. J. Res. Nat. Bur. Standards Sect. B 72B 1968 115--125. (Reviewer: Marvin Marcus) 15.25
  101. MR0237533 (38 #5814) Thompson, R. C. Principal submatrices. III. Linear inequalities. J. Res. Nat. Bur. Standards Sect. B 72B 1968 7--22. (Reviewer: Marvin Marcus) 15.55
  102. MR0237532 (38 #5813) Thompson, R. C.; McEnteggert, P. Principal submatrices. II. The upper and lower quadratic inequalities. Linear Algebra and Appl. 1 1968 211--243. (Reviewer: Marvin Marcus) 15.55
  103. R0230739 (37 #6299) Thompson, R. C. On the matrices $AB$ and $BA$. Linear Algebra and Appl. 1 1968 43--58. (Reviewer: B. N. Moyls) 15.25
  104. MR0228518 (37 #4098) Gaines, Fergus J.; Thompson, R. C. Sets of nearly triangular matrices. Duke Math. J. 35 1968 441--453. (Reviewer: C. G. Cullen) 15.30
  105. MR0224723 (37 #322) Thompson, R. C. Commutators of matrices with prescribed determinant. Canad. J. Math. 20 1968 203--221. (Reviewer: John H. Hodges) 20.70 (15.00)
  106. MR0210726 (35 #1612) Thompson, R. C. A note on matrix commutators. Amer. Math. Monthly 74 1967 276--278. (Reviewer: John H. Hodges) 15.38
  107. MR0207725 (34 #7540) Thompson, R. C. Multiplicative matrix commutators commuting with both factors. J. Math. Anal. Appl. 18 1967 315--335. (Reviewer: I. Reiner) 15.38
  108. MR0206022 (34 #5847) Thompson, R. C. On a class of matrix equations. Pacific J. Math. 20 1967 289--316. (Reviewer: G. E. Wall) 15.35 (16.48)
  109. MR0202742 (34 #2602) Thompson, R. C. Matrices with zero trace. Israel J. Math. 4 1966 33--42. (Reviewer: John H. Hodges) 15.20
  110. MR0202741 (34 #2601) Marcus, Marvin; Thompson, Robert C. On a classical commutator result. J. Math. Mech. 16 1966 583--588. (Reviewer: O. Taussky-Todd) 15.38
  111. MR0201455 (34 #1339) Thompson, R. C. Classes of definite group matrices. Pacific J. Math. 17 1966 175--190. (Reviewer: Morris Newman) 15.30
  112. MR0190151 (32 #7565) Thompson, R. C. Principal submatrices of normal and Hermitian matrices. Illinois J. Math. 10 1966 296--308. (Reviewer: M. Marcus) 15.55
  113. MR0179185 (31 #3434) Thompson, R. C. Generalizations of a well-known result in matrix theory. Proc. Glasgow Math. Assoc. 7 1965 29--31. (Reviewer: M. Marcus) 15.35
  114. MR0163957 (29 #1256) Thompson, R. C. Unimodular group matrices with rational integers as elements. Pacific J. Math. 14 1964 719--726. (Reviewer: Morris Newman) 10.21
  115. MR0153687 (27 #3648) Marcus, Marvin; Thompson, Robert C. The field of values of the Hadamard product. Arch. Math. 14 1963 283--288. (Reviewer: O. Taussky-Todd) 15.20 (15.38)
  116. MR0146200 (26 #3722) Thompson, R. C. A note on normal matrices. Canad. J. Math. 15 1963 220--225. (Reviewer: M. Marcus) 15.80
  117. MR0153669 (27 #3631) Thompson, R. C. Normal matrices and the normal basis in abelian number fields. Pacific J. Math. 12 1962 1115--1124. (Reviewer: R. Ayoub) 10.66
  118. MR0147558 (26 #5073) Thompson, R. C. On matrix commutators. Portugal. Math. 21 1962 143--153. (Reviewer: G. E. Wall) 20.75
  119. MR0140584 (25 #4002) Thompson, R. C. Commutators of matrices with coefficients from the field of two elements. Duke Math. J. 29 1962 367--373. (Reviewer: G. E. Wall) 20.70
  120. MR0142564 (26 #133) Thompson, R. C. A determinantal inequality for positive definite matrices. Canad. Math. Bull. 4 1961 57--62. (Reviewer: J. L. Brenner) 15.20
  121. MR0130917 (24 #A771) Thompson, R. C. Commutators in the special and general linear groups. Trans. Amer. Math. Soc. 101 1961 16--33. (Reviewer: J. L. Brenner) 20.75
  122. MR0101252 (21 #65) Thompson, R. C. On matrix commutators. J. Washington Acad. Sci. 48 1958 306--307. (Reviewer: D. C. Kleinecke) 15.00
  123. MR0082951 (18,634f) Marcus, M.; Thompson, R. A note on symmetric functions of eigenvalues. Duke Math. J. 24 (1957), 43--45. (Reviewer: F. Smithies) 15.0X

 

 

Other links

1.      Homepage of  Wasin So's Thompson Page

2.      lovely obituary written by Prf. Charlie R. Johnson (PDF)