Publication list of Tin-Yau Tam

Papers submitted for publication:

  1. Tin-Yau Tam and Pingping Zhang, Weak log majorization and determinantal inequalities.
  2. Tin-Yau Tam and Pingping Zhang, Spectral decomposition of selfadjoint matrices in positive semidefinite inner product spaces and its applications, to appear in Linear and Multilinear Algebra.
  3. Trung Hoa Dinh, Khue TB Vo, and Tin-Yau Tam, In-sphere property and reverse inequalities for matrix means.
  4. Chalres Dolberry and Tin-Yau Tam, Ky Fan's dominance theorem and Eaton triple.
  5. Zhaolin Jiang and Tin-Yau Tam, On the spectral norm of a doubly stochastic matrix and level-k circulant matrix.

Papers appeared or to appear in refereed journals and book chatpers 

  1. Mehmet Gumus, Jianzhen Liu, Samir Raouafi, Tin-Yau Tam, Positive demi-definite 2x2 block matrices and norm inequalities, to appear in Linear Algebra and Its Applications.
  2. Zhuoheng He, Jianzhen Liu, and Tin-Yau Tam, The general φ-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations, Electronic Linear Algebra, 32 (2017), 475-499.
  3. Mao-Ting Chien, Jianzhen Liu, Hiroshi Nakazato, and Tin-Yau Tam, Toeplitz matrices are unitarily similar to symmetric matrices, Linear and Multilinear Algebra, 65 (2017), 2131-2144. 
  4. Ming Liao and Tin-Yau Tam, Weight distribution of Iwasawa projection, Differential Geometry and its Applications, 53 (2017), 97-102.
  5. Deyu Wu, Alatancang Chen, and Tin-Yau Tam, Spectral equality for upper triangular operator matrices with unbounded entries, Operators and Matrices, 11 (2017), 505-517. 
  6. Zhaolin Jiang, Tin-Yau Tam, and Yanfeng Wang, Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices, Linear and Multilinear Algebra 65 (2017), 256-268. 
  7. William C. Hill and Tin-Yau Tam, Derivatives of orbital function and an extension of Berezin-Gel’fand's theorem, Special Matrices, 4 (2016), 333-349. 
  8. Trung Hoa Dinh, Sima Ahsani, and Tin-Yau Tam, Geometry and Inequalities of Geometric Mean, Czechoslovak Mathematical Journal, 66 (2016), 777-792. 
  9. Sanjeev Baskiyar, Chiao-Ching Huang, and Tin-Yau Tam, Minimum energy consumption for rate monotonic tasks, Computing, 98 (2016), 661-684. 
  10. Zachary Sarver and Tin-Yau Tam, Extension of Wang-Gong monotonicity result in semisimple Lie groups, Special Matrices, 3 (2015), 244-249. 
  11. Durmus Bozkurt and Tin-Yau Tam, Determinants and inverses of r-circulant matrices associated with a number sequence, Linear and Multilinear Algebra, 63 (2015), 2079-2088. 
  12. Mary Clair Thompson and Tin-Yau Tam, Rutishauser's LR algorithm and Bruhat iteration, Linear and Multilinear Algebra 63 (2015), 2061-2070. 
  13. Tin-Yau Tam and Wen Yan, On Ky Fan's result on eigenvalues and real singular values of a matrix, Linear Algebra and Its Applications, 468 (2015), 3-17. 
  14. Xuhua Liu and Tin-Yau Tam, Extensions of three matrix inequalities to semisimple Lie groups, Special Matrices 2 (2014), 148-154. 
  15. Tin-Yau Tam and Mary Clair Thompson, Convergence of Aluthge iteration in semisimple Lie groups, Journal of the Mathematical Society of Japan, 66 (2014), 1127-1131. 
  16. Xuhua Liu, Ming Liao and Tin-Yau Tam, Geometric mean for symmetric spaces of noncompact type, Journal of Lie Theory 24 (2014), 725-736. 
  17. Durmus Bozkurt, Tin-Yau Tam and and Wen Yan, Singular values and eigenvalues of matrices in so_n(C) and sp_n(C), Annals of Functional Analysis (AFA), 5 (2014), 94-100, dedicated to Professor Tsuyoshi Ando. 
  18. Ming Liao and Tin-Yau Tam, Derivatives of group product projections, Advances in Mathematics (China) 45 (2013) 611-619. 
  19. Wen Yan and Tin-Yau Tam, Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues, Linear Algebra Appl., 438 (2013), 1446-1453. 
  20. Xuhua Liu and Tin-Yau Tam, Connectedness, convexity and generalized numerical range, The Natalia Bebiano Anniversary Volume, Textos de Matematica, 44 (2013), 107-119. 
  21. Xuhua Liu, Brice M. Nguelifack, Tin-Yau Tam, Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras, Linear Algebra Appl., 438 (2013), 3789-3796. 
  22. Xuhua Liu and Tin-Yau Tam, Gradient Flows for the Minimum Distance to the Sum of Adjoint Orbits, Linear and Multilinear Algebra, 61 (2013), 678-696. 
  23. Randall R. Holmes, Huajun Huang and Tin-Yau Tam, Asymptotic behavior of Iwasawa and Cholesky iterations, Linear Algebra Appl., 438 (2013), 3755–3768. 
  24. Tin-Yau Tam and Mary Clair Thompson, Determinants of sums of two real matrices and their extensions, Linear and Multilinear Algebra, 60 (2012), 1409-1431. 
  25. Durmus Bozkurt and Tin-Yau Tam, Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers, Applied Mathematics and Computation, 219 (2012), 544-551. 
  26. Tin-Yau Tam and Mary Clair Thompson, Determinants of sum of orbits under compact Lie group, Linear Algebra Appl., 436 (2012), 1644-1650. 
  27. Alexander Markus and Tin-Yau Tam, Connectedness of some fibers on a compact connected Lie group, Linear and Multilinear Algebra, 59 (2011), 1121-1126. 
  28. Xuhua Liu, Dawit G. Tadesse and Tin-Yau Tam, A range associated with skew symmetric matrix, Linear and Multilinear Algebra, 59 (2011), 1105-1120 
  29. Wai-Shun Cheung, Xuhua Liu, Tin-Yau Tam, Multiplicities, boundary points, and joint numerical ranges, Operators and Matrices 5 (2011), 41-52. 
  30. Piotr Niemiec and Tin-Yau Tam, A representation of G-invariant norms for Eaton triple, Journal of Convex Analysis, 18 (2011), 59-65. 
  31. Wai-Shun Cheung and Tin-Yau Tam, Star-shapedness and K-orbits in complex semisimple Lie algebras, Bull. Canada. Math. Soc., 54 (2011), 45-55. 
  32. Tin-Yau Tam and Mary Clair Thompson, Determinant and Pfaffian of sum of skew symmetric matrices, Linear Algebra Appl., 433 (2010) 412-423. 
  33. Atif Abueida, Mark Nielsen and Tin-Yau Tam, Inverse spread limit of a nonnegative matrix, Proyecciones, 29 (2010), 109-122. 
  34. Huajun Huang and Tin-Yau Tam, Aluthge iteration in semisimple Lie group, Linear Algebra Appl., 432 (2010), 3250-3257. 
  35. Tin-Yau Tam, A. Horn's result on matrices with prescribed singular values and eigenvalues, Electronic Linear Algebra, 21 (2010), 25-27. 
  36. Tin-Yau Tam, Some exponential inequalities for Semisimple Lie group, Topics in operator theory, Volume 1. Operators, matrices and analytic functions, 539-552, Oper. Theory Adv. Appl., 202, Birkhauser Verlag, Basel, 2010. 
  37. Huajun Huang and Tin-Yau Tam, On Gelfand-Naimark decomposition of a nonsingular matrix, Linear and Multilinear Algebra, 58 (2010), 27-43. 
  38. Wai-Shun Cheung and Tin-Yau Tam, Pfaffian and decomposable numerical range of a complex skew symmetric matrix, Linear and Multilinear Algebra, 57 (2009), 477-489. 
  39. Tin-Yau Tam, Heinz-Kato's inequalities for semisimple Lie groups, Journal of Lie Theory, 18 (2008), 919-31. 
  40. Wai-Shun Cheung and Tin-Yau Tam, The K-orbit of a normal element in a complex semisimple Lie algebra, Pacific Journal of Mathematics, 238 (2008), 387-398. 
  41. Tin-Yau Tam, lambda-Aluthge iteration and spectral radius, Integral Equations and Operator Theory, 60 (2008), 591-596. 
  42. Huajun Huang and Tin-Yau Tam, Some asymptotic behaviors associated with matrix decompositions, International Journal of Information and Systems Sciences, 4 (2008), 148-159. 
  43. Randall R. Halmos and Tin-Yau Tam, Group Representation, a book chapter of CRC Handbook of Linear Algebra (HLA) edited by L. Hogben, 2007. 
  44. Tin-Yau Tam and Wen Yan, Unitary completions of complex symmetric and skew symmetric matrices, Appl. Math. E-Notes, 7 (2007), 84-92. 
  45. Huajun Huang and Tin-Yau Tam, An asymptotic result on the a-component in Iwasawa decomposition, Journal of Lie Theory, 17 (2007), 469-479. 
  46. Randall R. Holmes, Chi-Kwong Li, Tin-Yau Tam, Numerical range of the derivation of an induced operator, J. Austral. Math. Soc., 82 (2007), 325-343. 
  47. Huajun Huang and Tin-Yau Tam, On the convergence of Aluthge sequence, Operators and Matrices, 1 (2007), 121-142. 
  48. Huajun Huang and Tin-Yau Tam, An asymptotic behavior of QR decomposition, Linear Algebra Appl., 424 (2007), 96-107. 
  49. Tin-Yau Tam and Huajun Huang, An extension of Yamamoto's theorem on the eigenvalues and singular values of a matrix, Journal of Math. Soc. Japan, 58 (2006), 1197-1202. 
  50. Tin-Yau Tam, Computing Iwasawa decomposition of symplectic matrix by Cholesky factorization, Applied Mathematics Letters, 19 (2006), 1421-1424. 
  51. Huajun Huang and Tin-Yau Tam, On the QR iterations of real matrices, Linear Algebra Appl., 408 (2005), 161-176. 
  52. G.H. Cheng, X.Y. Cheng, T.Z. Huang, Tin-Yau Tam, Some bounds for the spectral radius of the Hadamard product of matrices, Applied Mathematics E-Notes, 5 (2005), 202-209. 
  53. Tin-Yau Tam, A counterexample to Merikoski-Kumar conjecture, Applied Mathematics E-Notes, 5 (2005), 147-149. 
  54. Chi-Kwong Li and Tin-Yau Tam, Operator properties of T and K(T), Linear Algebra Appl., 401 (2005), 173-191. 
  55. Tin-Yau Tam, Gradient flows and double bracket equations, Differential Geometry and Applications 20 (2004), 209-224. 
  56. Dragomir Z. Djokovic and Tin-Yau Tam, Some questions about semisimple Lie groups originating in matrix theory, Bulletin Canad. Math. Soc, 46 (2003), 332-343. 
  57. Tin-Yau Tam, Generalized Schur-concave functions and Eaton triples, Linear and Multilinear Algebra, 50 (2002), 113-120. 
  58. Tin-Yau Tam, Convexity of generalized numerical range associated with a compact Lie group, J. Austral. Math. Soc. 72 (2002), 57-66. 
  59. Marek Niezgoda and Tin-Yau Tam, On norm property of G(c)-radii and Eaton triples, Linear Algebra Appl., 336 (2001), 119-130 
  60. Tin-Yau Tam and William C. Hill, On G-invariant norms, Linear Alg. App., 331 (2001), 101-112. 
  61. Tin-Yau Tam, On the shape of numerical range associated with Lie groups, Taiwanese J. Math. 5 (2001), 497-506. 
  62. Chi-Kwong Li and Tin-Yau Tam, Numerical ranges arising from simple Lie algebras, J. Canad. Math. Soc., 52 (2000), 141-171. 
  63. Tin-Yau Tam, Interlacing inequalities and Cartan subspaces of classical real simple Lie algebras, SIAM J. Matrix Anal. Appl., 21 (1999), 581-592. 
  64. Randall R. Holmes and Tin-Yau Tam, Distance to the convex hull of an orbit under the action of a compact Lie group, J. Austral. Math. Soc. Ser. A 66 (1999), 331-357. 
  65. Tin-Yau Tam, A Lie theoretical approach of Thompson's theorems of singular values-diagonal elements and some related results, J. of London Math. Soc. (2), 60 (1999), 431-448. 
  66. Tin-Yau Tam, An extension of a result of Lewis, Electronic J. Linear Algebra, 5 (1999), 1-10. 
  67. Tin-Yau Tam, An extension of a convexity theorem of the generalized numerical range associated with SO(2n+1), Proc. Amer. Math. Soc., 127 (1999), 35-44. 
  68. Tin-Yau Tam, A unified extension of two results of Ky Fan on the sum of matrices, Proc. Amer. Math. Soc., 126 (1998), 2607-2614. 
  69. Tin-Yau Tam, Partial superdiagonal elements and the singular values of a complex skew symmetric matrix, SIAM J. Matrix Analysis and Appl., 19 (1998), 737-754. 
  70. Tin-Yau Tam, On Lei-Miranda-Thompson's result on singular values and diagonal elements, Linear Algebra Appl., 272 (1998), 91-101. 
  71. Tin-Yau Tam, On the behavior of a sequence defined by a periodic recursive relation, SIAM Matrix Analysis and Appl., 18 (1997), 842-860. 
  72. Tin-Yau Tam, On a conjecture of Ridge, Proc. Amer. Math. Soc., 125 (1997), 3581-3592. 
  73. Tin-Yau Tam, Kostant's convexity theorem and the compact classical groups, Linear and Multilinear Algebra, 43 (1997), 87-113. 
  74. Tin-Yau Tam, Miranda and Thompson's trace inequality and a log convexity result, Linear Algebra Appl., 262 (1997), 307-325. 
  75. Jorma Kaarlo Merikoski, Uoti Urpala, Ari Virtanen, Tin-Yau Tam and Frank Uhlig, A best upper bound for the 2-norm condition number of a matrix, Linear Algebra Appl., 254 (1997), 355-365. 
  76. Tin-Yau Tam, On the cyclic symmetry classes, J. Algebra, 182 (1996) 557-560. 
  77. Peter Nylen and Tin-Yau Tam, On the spread of a Hermitian matrix and a conjecture of Thompson, Linear and Multilinear Algebra, 37 (1994), 3-11. 
  78. Peter Nylen, Tin-Yau Tam and Frank Uhlig, On the eigenvalues of principal submatrices of normal, Hermitian and symmetric matrices, Linear and Multilinear Algebra, 36 (1993), 69-78. 
  79. Helmut Langer, Peter Nylen and Tin-Yau Tam, A remark on the fundamental theorem of natural selection, Arch. Math., (Basel) 60 (1993), 103-104. 
  80. Shu-An Hu, James F. Hurley and Tin-Yau Tam, Nonconvexity of the permanental numerical range, Linear Algebra Appl,. 180 (1993), 121-131. 
  81. Randall R. Holmes and Tin-Yau Tam, Symmetry classes of tensors associated with certain groups, Linear and Multilinear Algebra, 32 (1992), 21-31. 
  82. Tian-Gang Lei and Tin-Yau Tam, On the permanental congruence numerical range, Linear and Multilinear Algebra, 32 (1992), 51-59. 
  83. Oscar Rojo, Richardo L. Soto, Hector Rojo and Tin-Yau Tam, Eigenvalue localization for complex matrices, Proyecciones, 11 (1992), 11-19. 
  84. Frank Uhlig, Tin-Yau Tam and David Carlson, Directions in Matrix Theory, Auburn 1990, Conference Report, Linear Algebra Appl.,162-164 (1992), 711-723. 
  85. Tin-Yau Tam, Another proof of a result of Marcus without Plucker relations, Linear and Multilinear Algebra, 29 (1991), 313-314. 
  86. Shu-An Hu and Tin-Yau Tam, Operators with permanental numerical ranges on a straight line, Linear and Multilinear Algebra, 29 (1991), 263-277. 
  87. Peter Nylen and Tin-Yau Tam, Numerical range of a doubly stochastic matrix, Linear Algebra Appl., 153 (1991), 161-176. 
  88. Shu-An Hu and Tin-Yau Tam, On the generalized numerical range with principal character, Linear and Multilinear Algebra, 30 (1991), 93-107. 
  89. Tin-Yau Tam, On the numerical range of an induced power, Linear and Multilinear Algebra, 23 (1988), 207-211. 
  90. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical range II, Linear Algebra Appl., 92 (1987), 197-207. 
  91. Tin-Yau Tam, The generalized spectral matrices and radial matrices on symmetry classes of tensors, Linear Algebra Appl., 85 (1987), 29-48. 
  92. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical range, Linear Algebra Appl., 85 (1987), 1-7. 
  93. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical radius, Linear Algebra Appl., 87 (1987), 147-153. 
  94. Tin-Yau Tam, Induced operators on symmetry classes of tensors, Monatsh. Math., 101 (1986), 245-252. 
  95. Tin-Yau Tam, On the generalized radial matrices and a conjecture of Marcus and Sandy, Linear and Multilinear Algebra, 19 (1986), 11-20. 
  96. Tin-Yau Tam, On the generalized mth decomposable numerical radius on symmetry classes of tensors, Linear and Multilinear Algebra, 19 (1986), 117-132. 
  97. Tin-Yau Tam and Nam-Kiu Tsing, Research problem: the congruence numerical range, Linear and Multilinear Algebra, 19 (1986), 405. 
  98. Tin-Yau Tam, Note on a paper of R. C. Thompson: "The congruence numerical range", Linear and Multilinear Algebra, 17 (1985), 107-115. 
  99. Tin-Yau Tam, A unified extension of some results of Thompson, Marcus and Moyls, Monatsh. Math., 98 (1984), 157-165. 
  100. Chi-Kwong Li, Tin-Yau Tam and Nam-Kiu Tsing, The generalized spectral radius, numerical radius and spectral norm, Linear and Multilinear Algebra, 16 (1984), 215-237. 

Non-research Articles

  1. Peter Nylen, Tin-Yau Tam and Frank Uhlig, Solution to problem 10205, Amer. Math. Monthly, 100 (1990), 881-882. 
  2. Tin-Yau Tam, Conference report: Frank Uhlig Retirement Colloquium, Auburn University, August 23, 2013, Spring 2014, IMAGE 52, p.35. http://www.ilasic.org/IMAGE/IMAGES/image52.pdf. 
  3. Tin-Yau Tam, Feature Interview with Frank Uhlig: A Special Cooperative and Open-minded Community, Fall 2015, IMAGE 55, p.3-5. http://www.ilasic.org/IMAGE/IMAGES/image55.pdf