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Volumn 46, Issue 2, 2006, Pages 433-452

Verification of positive definiteness

Author keywords

Cholesky decomposition; INTLAB; Positive definite; Rigorous error bounds; Self validating methods; Semidefinite programming; Verification

Indexed keywords


EID: 33745298703     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0056-1     Document Type: Article
Times cited : (48)

References (14)
  • 2
    • 0039606929 scopus 로고
    • Einschließungssatz für die charakteristischen zahlen von matrizen
    • L. Collatz, Einschließungssatz für die charakteristischen Zahlen von Matrizen, Math. Z., 48 (1942), pp. 221-226.
    • (1942) Math. Z. , vol.48 , pp. 221-226
    • Collatz, L.1
  • 3
    • 0003886379 scopus 로고
    • On floating point errors in Choleshy
    • Department of Computer Science, University of Tennessee, Knoxville, TN, USA
    • J. W. Demmel, On floating point errors in Choleshy, LAPACK Working Note 14 CS-89-87, Department of Computer Science, University of Tennessee, Knoxville, TN, USA, 1989.
    • (1989) LAPACK Working Note 14 CS-89-87
    • Demmel, J.W.1
  • 4
    • 0004109578 scopus 로고
    • User's guide for Harwell-Boeing sparse matrix test problems collection
    • Computing and Information Systems Department, Rutherford Appleton Laboratory, Didcot, UK
    • I. S. Duff, R. G. Grimes, and J. G. Lewis, User's guide for Harwell-Boeing sparse matrix test problems collection, Technical Report RAL-92-086, Computing and Information Systems Department, Rutherford Appleton Laboratory, Didcot, UK, 1992.
    • (1992) Technical Report , vol.RAL-92-086
    • Duff, I.S.1    Grimes, R.G.2    Lewis, J.G.3
  • 5
    • 0141663368 scopus 로고    scopus 로고
    • Deterministic global optimization - Theory, methods and applications
    • Kluwer Academic Publishers, Dordrecht, Boston, London
    • C. A. Floudas, Deterministic Global Optimization - Theory, Methods and Applications, Nonconvex Optimization and Its Applications, vol. 37, Kluwer Academic Publishers, Dordrecht, Boston, London, 2000.
    • (2000) Nonconvex Optimization and Its Applications , vol.37
    • Floudas, C.A.1
  • 9
    • 0009221638 scopus 로고
    • Checking robust stability of symmetric interval matrices is NP-hard
    • J. Rohn, Checking robust stability of symmetric interval matrices is NP-hard, Commentat. Math. Univ. Carol., 35 (1994), p. 795-797.
    • (1994) Commentat. Math. Univ. Carol. , vol.35 , pp. 795-797
    • Rohn, J.1
  • 10
    • 33746928018 scopus 로고
    • Verification methods for dense and sparse systems of equations
    • J. Herzberger, ed., Elsevier, Amsterdam
    • S. M. Rump, Verification methods for dense and sparse systems of equations, in Topics in Validated Computations - Studies in Computational Mathematics, J. Herzberger, ed., p. 63-136, Elsevier, Amsterdam, 1994.
    • (1994) Topics in Validated Computations - Studies in Computational Mathematics , pp. 63-136
    • Rump, S.M.1
  • 11
    • 0002342184 scopus 로고    scopus 로고
    • INTLAB - INTerval LABoratory
    • Tibor Csendes, ed., Kluwer Academic Publishers, Dordrecht
    • S. M. Rump, INTLAB - INTerval LABoratory, in Developments in Reliable Computing, Tibor Csendes, ed., p. 77-104, Kluwer Academic Publishers, Dordrecht, 1999.
    • (1999) Developments in Reliable Computing , pp. 77-104
    • Rump, S.M.1
  • 12
    • 33745293293 scopus 로고
    • Vorlesungen über numerische mathematik. Band 1: Gleichungssysteme, interpolation und approximation. Band Z: Differentialgleichungen und eigenwertprobleme
    • Birkhäuser, Basel-Stuttgart
    • H. Rutishauser, Vorlesungen über numerische Mathematik. Band 1: Gleichungssysteme, Interpolation und Approximation. Band Z: Differentialgleichungen und Eigenwertprobleme, Mathematische Reihe, vol. 50/57, Birkhäuser, Basel-Stuttgart, 1976.
    • (1976) Mathematische Reihe , vol.50 , Issue.57
    • Rutishauser, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.