publication . Other literature type . Preprint . 2005

Positive eigenvalues of generalized words in two Hermitian positive definite matrices

Hillar, Christopher; Johnson, Charles R.;
Open Access
  • Published: 29 Apr 2005 Journal: Novel Approaches to Hard Discrete Optimization
  • Publisher: American Mathematical Society
Abstract
Comment: 13 Pages, Novel Approaches to Hard Discrete Optimization, Fields Institute Communications
Subjects
arXiv: Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Computer Science::Formal Languages and Automata Theory
free text keywords: Mathematics - Operator Algebras, Mathematics - Spectral Theory, 15A57, 15A90, 81Q99, 20F10, 15A42, 15A23

[1] D. Bessis, P. Moussa and M. Villani, Monotonic Converging Variational Approximations to the Functional Integrals in Quantum Statistical Mechanics, J. Math. Phys., 16 (1975), pp. 2318-2325.

[2] C. Hillar, C. R. Johnson and I. M. Spitkovsky, Positive eigenvalues and two-letter generalized words, Electronic Journal of Linear Algebra, 9 (2002), pp. 21-26.

[3] R. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, New York, 1985.

[4] R. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, New York, 1991.

[5] C. R. Johnson and C. Hillar, Eigenvalues of Words in Two Positive Definite Letters, SIAM J. Matrix Anal. Appl., 23 (2002), pp. 916-928. [OpenAIRE]

[6] S. Lang, Algebra -3rd ed., Addison-Wesley Publishing Company, New York, 1993.

[7] E. Lieb, private communication.

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publication . Other literature type . Preprint . 2005

Positive eigenvalues of generalized words in two Hermitian positive definite matrices

Hillar, Christopher; Johnson, Charles R.;