Symmetric word equations in two positive definite letters

Proceedings of the American Mathematical Society

Volumn 132, Issue 4, 2004, Pages 945-953

  Hillar, Christopher J ^a   Johnson, Charles R ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b The College of William and Mary   (United States)

Author keywords

Generalized word; Positive definite matrix; Symmetric word equation

Indexed keywords

EID: 1642395010     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-03-07163-6     Document Type: Conference Paper

References (5)

1. T. Ando, On the Arithmetic-Geometric-Harmonic-Mean Inequalities for Positive Definite Matrices, Linear Algebra Appl., 52/53 (1983), 31-37. MR 84j:15016
2. R. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985. MR 87e:15001
3. R. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991. MR 92e:15003
4. C. R. Johnson and C. Hillar, Eigenvalues of Words in Two Positive Definite Letters, SIAM J. Matrix Anal. Appl., 23 (2002), 916-928. MR 2003e:81071
5. E. Zeidler, Applied Functional Analysis: Applications to Mathematical Physics, Applied Mathematical Sciences, Vol. 108, Springer-Verlag, New York, 1995. MR 96i:00005