Publication list of Tin-Yau Tam

  1. Papers submitted for publication:
    1. Tin-Yau Tam and Wen Yan, On Ky Fan's result on eigenvalues and real singular values of a matrix, 18 pages.
    2. Durmus Bozkurt, Tin-Yau Tam and and Wen Yan, Singular values and eigenvalues of complex skew symmetric, symplectic and Hamiltonian matrices, 12 pages.
    3. Tin-Yau Tam and Mary Clair Thompson Convergence of Aluthge iteration in semisimple Lie groups, 5 pages.

     

  2. Papers appeared or to appear in refereed journals:
    1. Wen Yan and Tin-Yau Tam, Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues, to appear in Linear Algebra and Its Applications.
    2. Tin-Yau Tam and Mary Clair Thompson Determinants of sums of two real matrices and their extensions, to appear in Linear and Multilinear Algebra.
    3. Xuhua Liu and Tin-Yau Tam, Connectedness, convexity and generalized numerical range, to appear in Textos de Matematica.
    4. Ming Liao and Tin-Yau Tam, Derivatives of group product projections, to appear in Advances in Mathematics (China).
    5. Xuhua Liu and Tin-Yau Tam, Gradient Flows for the Minimum Distance to the Sum of Adjoint Orbits, to appear in Linear and Multilinear Algebra.
    6. Xuhua Liu, Brice M. Nguelifack, Tin-Yau Tam, Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras, to appear in Linear Algebra and Its Applications.
    7. 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.
    8. Tin-Yau Tam and Mary Clair Thompson Determinants of sum of orbits under compact Lie group, Linear Algebra and Its Applications, 436 (2012), 1644-1650.
    9. Alexander Markus and Tin-Yau Tam, Connectedness of some fibers on a compact connected Lie group, Linear and Multilinear Algebra, 59 (2011), 1121-1126.
    10. Xuhua Liu, Dawit G. Tadesse and Tin-Yau Tam, A range associated with skew symmetric matrix, Linear and Multilinear Algebra, 59 (2011), 1105-1120
    11. Wai-Shun Cheung, Xuhua Liu, Tin-Yau Tam, Multiplicities, boundary points, and joint numerical ranges, Operators and Matrices 5 (2011), 41-52.
    12. Piotr Niemiec and Tin-Yau Tam, A representation of G-invariant norms for Eaton triple, Journal of Convex Analysis, 18 (2011), 59-65.
    13. 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.
    14. Tin-Yau Tam and Mary Clair Thompson, Determinant and Pfaffian of sum of skew symmetric matrices, Linear Algebra and Its Applications, 433 (2010) 412-423.
    15. Atif Abueida, Mark Nielsen and Tin-Yau Tam, Inverse spread limit of a nonnegative matrix, Proyecciones, 29 (2010), 109-122.
    16. Huajun Huang and Tin-Yau Tam, Aluthge iteration in semisimple Lie group, Linear Algebra and Its Applications, 432 (2010), 3250-3257.
    17. Tin-Yau Tam, A. Horn's result on matrices with prescribed singular values and eigenvalues, Electronic Linear Algebra, 21 (2010), 25-27.
    18. 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.
    19. Huajun Huang and Tin-Yau Tam, On Gelfand-Naimark decomposition of a nonsingular matrix, Linear and Multilinear Algebra, 58 (2010) 27-43
    20. 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.
    21. Tin-Yau Tam, Heinz-Kato's inequalities for semisimple Lie groups, Journal of Lie Theory, 18 (2008), 919-31.
    22. 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.
    23. Tin-Yau Tam, lambda-Aluthge iteration and spectral radius, Integral Equations and Operator Theory, 60 (2008), 591-596.
    24. Huajun Huang and Tin-Yau Tam, Some asymptotic behaviors associated with matrix decompositions, International Journal of Information and Systems Sciences, 4 (2008), 148-159.
    25. Randall R. Halmos and Tin-Yau Tam, Group Representation, a book chapter of CRC Handbook of Linear Algebra (HLA) edited by L. Hogben, 2007.
    26. Tin-Yau Tam and Wen Yan, Unitary completions of complex symmetric and skew symmetric matrices, Appl. Math. E-Notes, 7 (2007), 84-92.
    27. Huajun Huang and Tin-Yau Tam, An asymptotic result on the a-component in Iwasawa decomposition, Journal of Lie Theory, 17 (2007), 469-479.
    28. Randall Holmes, Chi-Kwong Li, Tin-Yau Tam, Numerical range of the derivation of an induced operator, J. Austral. Math. Soc. 82 (2007), 325-343
    29. Huajun Huang and Tin-Yau Tam, On the convergence of Aluthge sequence, Operators and Matrices, 1 (2007), 121-142.
    30. Huajun Huang and Tin-Yau Tam, An asymptotic behavior of QR decomposition, Linear Algebra and Its Applications, 424 (2007), 96-107.
    31. 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.
    32. Tin-Yau Tam, Computing Iwasawa decomposition of symplectic matrix by Cholesky factorization, Applied Mathematics Letters, 19 (2006) 1421-1424.
    33. Huajun Huang and Tin-Yau Tam, On the QR iterations of real matrices, Linear Algebra and Its Applications, 408 (2005) 161-176.
    34. 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.
    35. Tin-Yau Tam, A counterexample to Merikoski-Kumar conjecture, Applied Mathematics E-Notes, 5 (2005) 147-149.
    36. Chi-Kwong Li and Tin-Yau Tam, Operator properties of T and K(T), Linear Algebra and Its Applications 401 (2005) 173-191.
    37. Tin-Yau Tam, Gradient flows and double bracket equations, Differential Geometry and Applications 20 (2004) 209-224.
    38. 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.
    39. Tin-Yau Tam, Generalized Schur-concave functions and Eaton triples, Linear and Multilinear Algebra, 50 (2002) 113-120.
    40. Tin-Yau Tam, Convexity of generalized numerical range associated with a compact Lie group, J. Austral. Math. Soc. 72 (2002) 57-66.
    41. Marek Niezgoda and Tin-Yau Tam, On norm property of G(c)-radii and Eaton triples, Linear Alg. App., 336 (2001) 119-130
    42. Tin-Yau Tam and William C. Hill, On G-invariant norms, Linear Alg. App., 331 (2001) 101-112.
    43. Tin-Yau Tam, On the shape of numerical range associated with Lie groups, Taiwanese J. Math. 5 (2001) 497-506.
    44. Chi-Kwong Li and Tin-Yau Tam, Numerical ranges arising from simple Lie algebras, J. Canad. Math. Soc., 52 (2000) 141-171.
    45. Tin-Yau Tam, Interlacing inequalities and Cartan subspaces of classical real simple Lie algebras, SIAM J. Matrix Anal. Appl. 21 (1999) 581-592.
    46. 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.
    47. 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.
    48. Tin-Yau Tam, An extension of a result of Lewis, Electronic J. Linear Algebra, 5 (1999) 1-10.
    49. 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.
    50. 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.
    51. 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.
    52. Tin-Yau Tam, On Lei-Miranda-Thompson's result on singular values and diagonal elements, Linear Algebra Appl., 272 (1998) 91-101.
    53. Tin-Yau Tam, On the behavior of a sequence defined by a periodic recursive relation, SIAM Matrix Analysis and Appl., 18 (1997) 842-860.
    54. Tin-Yau Tam, On a conjecture of Ridge, Proc. Amer. Math. Soc., 125 (1997) 3581-3592.
    55. Tin-Yau Tam, Kostant's convexity theorem and the compact classical groups, Linear and Multilinear Algebra, 43 (1997) 87-113.
    56. Tin-Yau Tam, Miranda and Thompson's trace inequality and a log convexity result, Linear Algebra Appl. 262 (1997) 307-325.
    57. 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.
    58. Tin-Yau Tam, On the cyclic symmetry classes, J. Algebra 182 (1996) 557-560.
    59. 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.
    60. 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.
    61. Helmut Langer, Peter Nylen and Tin-Yau Tam, A remark on the fundamental theorem of natural selection, Arch. Math. (Basel) 60 (1993) 103-104.
    62. Shu-An Hu, James F. Hurley and Tin-Yau Tam, Nonconvexity of the permanental numerical range, Linear Algebra Appl. 180 (1993) 121-131.
    63. Peter Nylen, Tin-Yau Tam and Frank Uhlig, Solution to problem 10205, Amer. Math. Monthly 100 (1990) 881-882.
    64. Randall R. Holmes and Tin-Yau Tam, Symmetry classes of tensors associated with certain groups, Linear and Multilinear Algebra 32 (1992) 21-31.
    65. Tian-Gang Lei and Tin-Yau Tam, On the permanental congruence numerical range, Linear and Multilinear Algebra 32 (1992) 51-59.
    66. Oscar Rojo, Richardo L. Soto, Hector Rojo and Tin-Yau Tam, Eigenvalue localization for complex matrices, Proyecciones 11 (1992) 11-19.
    67. Frank Uhlig, Tin-Yau Tam and David Carlson, Directions in Matrix Theory, Auburn 1990, Conference Report, Linear Algebra and Its Applications, 162-164 (1992) 711-723.
    68. Tin-Yau Tam, Another proof of a result of Marcus without Plucker relations, Linear and Multilinear Algebra 29 (1991) 313-314.
    69. Shu-An Hu and Tin-Yau Tam, Operators with permanental numerical ranges on a straight line, Linear and Multilinear Algebra 29 (1991) 263-277.
    70. Peter Nylen and Tin-Yau Tam, Numerical range of a doubly stochastic matrix, Linear Algebra Appl. 153 (1991) 161-176.
    71. Shu-An Hu and Tin-Yau Tam, On the generalized numerical range with principal character, Linear and Multilinear Algebra 30 (1991) 93-107.
    72. Tin-Yau Tam, On the numerical range of an induced power, Linear and Multilinear Algebra 23 (1988) 207-211.
    73. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical range II, Linear Algebra Appl. 92 (1987) 197-207.
    74. Tin-Yau Tam, The generalized spectral matrices and radial matrices on symmetry classes of tensors, Linear Algebra Appl. 85 (1987) 29-48.
    75. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical range, Linear Algebra Appl. 85 (1987) 1-7.
    76. Tin-Yau Tam, Linear operators on matrices: the invariance of the decomposable numerical radius, Linear Algebra Appl. 87 (1987) 147-153.
    77. Tin-Yau Tam, Induced operators on symmetry classes of tensors, Monatsh. Math. 101 (1986) 245-252.
    78. Tin-Yau Tam, On the generalized radial matrices and a conjecture of Marcus and Sandy, Linear and Multilinear Algebra 19 (1986) 11-20.
    79. Tin-Yau Tam, On the generalized mth decomposable numerical radius on symmetry classes of tensors, Linear and Multilinear Algebra 19 (1986)117-132.
    80. Tin-Yau Tam and Nam-Kiu Tsing, Research problem: the congruence numerical range, Linear and Multilinear Algebra 19 (1986) 405.
    81. Tin-Yau Tam, Note on a paper of R. C. Thompson: ``The congruence numerical range'', Linear and Multilinear Algebra 17 (1985) 107-115.
    82. Tin-Yau Tam, A unified extension of some results of Thompson, Marcus and Moyls, Monatsh. Math. 98 (1984) 157-165.
    83. 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.