The general totally positive matrix completion problem with few unspecified entries

Electronic Journal of Linear Algebra

Volumn 7, Issue , 2000, Pages 1-20

  Fallat, Shaun M ^a   Johnson, Charles R ^b   Smith, Ronald L ^c  

^a UNIVERSITY OF REGINA   (Canada)

^b Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^c UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

Matrix completion problems; Partial matrix; Totally positive matrices

Indexed keywords

EID: 0346158171     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1042     Document Type: Article

References (17)

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2. D. Carlson, Weakly, Sign-Symmetric Matrices and Some Determinantal Inequalities, Colloquium Mathematicum 17:123-129, 1967.
3. K.E. DiMarco and C.R. Johnson, Totally Positive Pattern Completions, An unpublished paper from the National Science Foundation Research Experiences for Undergraduates program held at the College of William and Mary in the summer of 1998.
4. J.H. Drew and C.R. Johnson, The completely positive and doubly nonnegative completion problems, Linear and Multilinear Algebra 44:85-92, 1998.
5. J.H. Drew, C.R. Johnson, K.L. Karlof and K.L. Shuman, The cycle completable graphs for the completely positive and doubly nonnegative completion problems, manuscript, 1999.
6. E.B. Dryden and C.R. Johnson, Totally Nonnegative Completions, An unpublished paper from the National Science Foundation Research Experiences for Undergraduates program held at the College of William and Mary in the summer of 1997.
7. F.R. Gantmacher and M.G. Krein, Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen Mechanischer Systeme, Akademie-Verlag, Berlin, 1960.
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11. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, New York, 1991.
12. C.R. Johnson, Matrix completion problems: A Survey, Proceedings of Symposia in Applied Mathematics 40:171-198, 1990.
13. C.R. Johnson and B.K. Kroschel, The combinatorially symmetric P-matrix completion problem, Electronic Journal of Linear Algebra 1:59-63, 1996.
14. C.R. Johnson, B.K. Kroschel, and M. Lundquist The totally nonnegative completion problem, Fields Institute Communications, American Mathematical Society, Providence, RI, 18:97-108, 1998.
15. C.R. Johnson and R.L. Smith, The completion problem for M-matrices and inverse M-matrices, Linear algebra and its Applications. 241-243:655-667, 1996.
16. C.R. Johnson and R.L. Smith, Insertions in Totally Positive Matrices, in preparation.
17. S. Karlin, Total Positivity, Vol. I, Stanford University Press, Stanford, 1968.