44 Publications (Page 1 of 2)
2017
Subspace filters and polar bases for spaces of symmetric multilinear functionsPate, Thomas HLinear and Multilinear Algebra, vol. 65, (no. 10), pp. 2100, 10/3/2017.
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2012
EXTENDING THE HÖLDER TYPE INEQUALITY OF BLAKLEY AND ROY TO NON-SYMMETRIC NON-SQUARE MATRICESPate, Thomas and Pate, ThomasTransactions of the American Mathematical Society, vol. 364, (no. 8), pp. 4281, 20120801.
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Hölder type matrix inequalities of Pate, Blakley, and Roy extended to the inner product of FrobeniusPate, Thomas HLinear Algebra and Its Applications, vol. 436, (no. 6), pp. 1769, 2012-03-15.
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2011
WITHDRAWN: DedicationBrualdi, Richard A⋅Laffey, Thomas J⋅de Sá, Eduardo Marques⋅Pate, Thomas H and Queiró, JoàoLinear Algebra and its Applications, 2011-12-00.
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2010
Lower bound inequalities for norms of symmetrized tensor powersPate, Thomas HLinear Algebra and Its Applications, vol. 432, (no. 1), pp. 133, 2010-01-01.
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Special Issue in honor of Jose Dias da SilvaLaffey, Thomas J⋅Pate, Thomas H⋅Queiró, Joao F and de Sá, Eduardo MarquesLinear Algebra and Its Applications, vol. 432, (no. 10), pp. 2726, 2010.
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2009
A new lower bound inequality for the norm of the symmetric productPate, Thomas HLinear and Multilinear Algebra, vol. 57, (no. 1), pp. 102, 1/1/2009.
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2008
A generalized Neuberger identity for the inner product of symmetric products of tensorsPate, Thomas HLinear and Multilinear Algebra, vol. 56, (no. 5), pp. 563, 9/1/2008.
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On permanental compoundsPate, Thomas HLinear Algebra and Its Applications, vol. 429, (no. 5-6), pp. 1101, 2008-09-01.
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Twisted inner products and contraction inequalities on spaces of contravariant and covariant tensorsPate, Thomas HLinear Algebra and Its Applications, vol. 429, (no. 7), pp. 1503, 2008.
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2004
Extreme rays and faces for the cone of class functions non-negative on the set of Gram matricesPate, Thomas HLinear Algebra and Its Applications, vol. 390, pp. 45, 2004.
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2003
Extreme rays for the large cone of hermitian generalized matrix functionsPate, Thomas HLinear and Multilinear Algebra, vol. 51, (no. 4), pp. 391, 12/1/2003.
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The Best Lower Bound for the Permanent of a Correlation Matrix of Rank TwoPate, Thomas HLinear and Multilinear Algebra, vol. 51, (no. 3), pp. 278, 9/1/2003.
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2001
A determinantal lower boundKalantari, Bahman and Pate, Thomas HLinear Algebra and Its Applications, vol. 326, (no. 1), pp. 159, 2001.
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1999
Extreme rays for cones of Hermitian matrix functions that are non-negative on the positive semi-definite matricesPate, Thomas HLinear Algebra and Its Applications, vol. 291, (no. 1), pp. 225, 1999.
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Tensor inequalities, ξ-functions and inequalities involving immanantsPate, Thomas HLinear Algebra and Its Applications, vol. 295, (no. 1), pp. 59, 1999.
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1997
A machine for producing inequalities involving immanants and other generalized matrix functionsPate, Thomas HLinear Algebra and its Applications, vol. 254, (no. 1-3), pp. 466, 1997-03-01.
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Exterior products, elementary symmetric functions, and the Fischer determinant inequalityPate, Thomas HLinear Algebra and its Applications, vol. 255, (no. 1-3), pp. 242, 1997-04-01.
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1996
Group algebras, monotonicity, and the lieb permanent inequalityPate, Thomas HLinear and Multilinear Algebra, vol. 40, (no. 3), pp. 220, 1/1/1996.
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1995
Hook immanants and symmetry-antisymmetry modulesPate, Thomas HLinear and Multilinear Algebra, vol. 38, (no. 4), pp. 307, 6/1/1995.
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1994
Immanant Inequalities, Induced Characters, and Rank Two PartitionsPate, Thomas HJournal of the London Mathematical Society, vol. 49, (no. 1), pp. 60, February 1994.
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Inequalities involving immanantsPate, Thomas HLinear Algebra and Its Applications, vol. 212, pp. 44, 1994.
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1993
Psi-functions, irreducible characters and a conjecture of merris and watkinsPate, Thomas HLinear and Multilinear Algebra, vol. 35, (no. 3-4), pp. 212, 8/1/1993.
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1992
Descending chains of immanantsPate, Thomas HLinear Algebra and Its Applications, vol. 162, pp. 650, 1992.
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Immanant Inequalities and Partition Node DiagramsPate, Thomas HJournal of the London Mathematical Society, vol. s2-46, (no. 1), pp. 80, August 1992.
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