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