Numerical ranges and matrix completions

Linear Algebra and Its Applications

Volumn 315, Issue 1-3, 2000, Pages 145-154

  Hadwin, D W ^a   Harrison, K J ^b   Ward, J A ^b  

^a UNIVERSITY OF NEW HAMPSHIRE   (United States)

^b MURDOCH UNIVERSITY   (Australia)

Author keywords

Chordal graph; Inner and outer numerical ranges; Matrix completion; Numerical range; Partial matrix

Indexed keywords

EID: 0034422392     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00135-X     Document Type: Article

References (5)

1. Grone R., Johnson C.R., de Sá E.M., Wolkowicz H. Positive definite completions of partial Hermitian matrices. Linear Algebra Appl. 58:1984;109-124.
2. Halmos P.R. A Hilbert Space Problem Book. 1967;Van Nostrand, Princeton.
3. Horn R.A., Johnson C.R. Topics in Matrix Analysis. 1991;Cambridge University Press, Cambridge.
4. Johnson C.R., Lundquist M.E. Numerical ranges for partial matrices. Operator Theory: Adv. Appl. 50:1991;283-291.
5. Carl Cowen, Elad Harel, An effective algorithm for computing the numerical range, http://www.math.purdue.edu/c̃owen.