메뉴 건너뛰기




Volumn 108, Issue 8, 2001, Pages 697-712

Bidiagonal factorizations of totally nonnegative matrices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035647383     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695613     Document Type: Article
Times cited : (67)

References (22)
  • 1
    • 0035580801 scopus 로고    scopus 로고
    • The matrices of Pascal and other greats
    • L. Aceto and D. Trigiante, The matrices of Pascal and other greats, Amer. Math. Monthly 108 (2001) 232-245.
    • (2001) Amer. Math. Monthly , vol.108 , pp. 232-245
    • Aceto, L.1    Trigiante, D.2
  • 2
    • 0001366189 scopus 로고
    • Totally positive matrices
    • T. Ando, Totally positive matrices, Linear Algebra Appl. 90 (1987) 165-219.
    • (1987) Linear Algebra Appl. , vol.90 , pp. 165-219
    • Ando, T.1
  • 3
    • 0000800280 scopus 로고
    • Combinatorics and total positivity
    • F. Brenti, Combinatorics and total positivity, J. Combin. Theory, Ser. A 71 (1995) 175-218.
    • (1995) J. Combin. Theory, Ser. A , vol.71 , pp. 175-218
    • Brenti, F.1
  • 4
    • 0002530383 scopus 로고
    • The LU-factorization of totally positive matrices
    • C. W. Cryer, The LU-factorization of totally positive matrices, Linear Algebra Appl. 7 (1973) 83-92.
    • (1973) Linear Algebra Appl. , vol.7 , pp. 83-92
    • Cryer, C.W.1
  • 5
    • 0002273291 scopus 로고
    • Some properties of totally positive matrices
    • C.W. Cryer, Some properties of totally positive matrices, Linear Algebra Appl. 15 (1976) 1-25.
    • (1976) Linear Algebra Appl. , vol.15 , pp. 1-25
    • Cryer, C.W.1
  • 6
    • 0038631082 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Department of Mathematics, College of William and Mary, Williamsburg, VA
    • S.M. Fallat, Totally Nonnegative Matrices, Ph.D. Dissertation, Department of Mathematics, College of William and Mary, Williamsburg, VA 1999.
    • (1999) Totally Nonnegative Matrices
    • Fallat, S.M.1
  • 7
    • 0041409991 scopus 로고    scopus 로고
    • Spectral structures of irreducible totally nonnegative matrices
    • S.M. Fallat, M.I. Gekhtman, and C.R. Johnson, Spectral structures of irreducible totally nonnegative matrices, SIAM J. Matrix Anal. Appl. 22 (2000) 627-645.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.22 , pp. 627-645
    • Fallat, S.M.1    Gekhtman, M.I.2    Johnson, C.R.3
  • 8
    • 0038292298 scopus 로고    scopus 로고
    • Determinantal inequalities: Ancient history and recent advances
    • S.M. Fallat and C.R. Johnson, Determinantal inequalities: Ancient history and recent advances, Contemp. Math. 259 (2000) 199-212.
    • (2000) Contemp. Math. , vol.259 , pp. 199-212
    • Fallat, S.M.1    Johnson, C.R.2
  • 9
    • 0001971789 scopus 로고
    • Über ein problem von laguerre
    • M. Fekete, Über ein problem von Laguerre, Rend. Circ. Mat. Palermo 34 (1913) 89-100, 110-120.
    • (1913) Rend. Circ. Mat. Palermo , vol.34 , pp. 89-100
    • Fekete, M.1
  • 10
    • 0034366223 scopus 로고    scopus 로고
    • Total positivity: Tests and parameterizations
    • S. Fomin and A. Zelevinsky, Total positivity: Tests and parameterizations, Math. Intelligencer 22 no. 1 (2000) 23-33.
    • (2000) Math. Intelligencer , vol.22 , Issue.1 , pp. 23-33
    • Fomin, S.1    Zelevinsky, A.2
  • 12
    • 0038631075 scopus 로고    scopus 로고
    • Total Positivity and its Applications
    • Kluwer Academic, Dordrecht
    • M. Gasca and C.A. Micchelli, eds., Total Positivity and its Applications, Mathematics and its Applications 359, Kluwer Academic, Dordrecht, 1996.
    • (1996) Mathematics and its Applications , vol.359
    • Gasca, M.1    Micchelli, C.A.2
  • 15
    • 0004167764 scopus 로고
    • Stanford University Press, Stanford
    • S. Karlin, Total Positivity, Vol. I, Stanford University Press, Stanford, 1968.
    • (1968) Total Positivity , vol.1
    • Karlin, S.1
  • 17
    • 0000740693 scopus 로고
    • On totally positive matrices
    • C. Loewner, On totally positive matrices, Math. Z. 63 (1955) 338-340.
    • (1955) Math. Z. , vol.63 , pp. 338-340
    • Loewner, C.1
  • 20
    • 0000813708 scopus 로고
    • Uber variationsvermindernde lineare transformationen
    • I.J. Schoenberg, Uber variationsvermindernde lineare transformationen, Math. Z. 32 (1930) 321-328.
    • (1930) Math. Z. , vol.32 , pp. 321-328
    • Schoenberg, I.J.1
  • 21
    • 84963070021 scopus 로고
    • Immanants of totally positive matrices are nonnegative
    • J.R. Stembridge, Immanants of totally positive matrices are nonnegative, Bull. London Math. Soc. 23 (1991) 422-428.
    • (1991) Bull. London Math. Soc. , vol.23 , pp. 422-428
    • Stembridge, J.R.1
  • 22
    • 51249168759 scopus 로고
    • A reduction theorem for totally positive matrices
    • A. Whitney, A reduction theorem for totally positive matrices, J. Analyse Math. 2 (1952) 88-92.
    • (1952) J. Analyse Math. , vol.2 , pp. 88-92
    • Whitney, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.