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Volumn 419, Issue 1, 2006, Pages 107-124

Principal minors, Part I: A method for computing all the principal minors of a matrix

Author keywords

P matrix; P problem; Principal submatrix; Schur complement

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

EID: 33748319729     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.04.008     Document Type: Article
Times cited : (41)

References (20)
  • 2
    • 0035587726 scopus 로고    scopus 로고
    • Verification for existence of solutions of linear complementarity problems
    • Chen X., Shogenji Y., and Yamasaki M. Verification for existence of solutions of linear complementarity problems. Linear Algebra Appl. 324 (2001) 15-26
    • (2001) Linear Algebra Appl. , vol.324 , pp. 15-26
    • Chen, X.1    Shogenji, Y.2    Yamasaki, M.3
  • 3
    • 34249773746 scopus 로고
    • The P-matrix problem is co-NP-complete
    • Coxson G.E. The P-matrix problem is co-NP-complete. Math. Programm. 64 (1994) 173-178
    • (1994) Math. Programm. , vol.64 , pp. 173-178
    • Coxson, G.E.1
  • 4
    • 0002466279 scopus 로고    scopus 로고
    • Computing exact bounds on elements of an inverse interval matrix is NP-hard
    • Coxson G.E. Computing exact bounds on elements of an inverse interval matrix is NP-hard. Reliable Comput. 5 (1999) 137-142
    • (1999) Reliable Comput. , vol.5 , pp. 137-142
    • Coxson, G.E.1
  • 5
    • 84968484976 scopus 로고
    • An identity for the Schur complement of a matrix
    • Crabtree D.E., and Haynsworth E.V. An identity for the Schur complement of a matrix. Proc. Amer. Math. Soc. 22 (1969) 364-366
    • (1969) Proc. Amer. Math. Soc. , vol.22 , pp. 364-366
    • Crabtree, D.E.1    Haynsworth, E.V.2
  • 7
    • 0001326068 scopus 로고
    • Some generalizations of positive definiteness and monotonicity
    • Fiedler M., and Pták V. Some generalizations of positive definiteness and monotonicity. Numer. Math. 9 (1966) 163-172
    • (1966) Numer. Math. , vol.9 , pp. 163-172
    • Fiedler, M.1    Pták, V.2
  • 8
    • 0016664554 scopus 로고
    • On inverse multiplicative eigenvalue problems for matrices
    • Friedland S. On inverse multiplicative eigenvalue problems for matrices. Linear Algebra Appl. 12 (1975) 127-137
    • (1975) Linear Algebra Appl. , vol.12 , pp. 127-137
    • Friedland, S.1
  • 9
    • 33748318179 scopus 로고    scopus 로고
    • K. Griffin, M.J. Tsatsomeros, Principal minors, Part II: The principal minor assignment problem, Linear Algebra Appl., in press, doi:10.1016/j.laa.2006.04.009.
  • 10
    • 0033148120 scopus 로고    scopus 로고
    • Druzkowski matrix search and D-nilpotent automorphisms
    • Gorni G., Halszka T.-G., and Zampieri G. Druzkowski matrix search and D-nilpotent automorphisms. Indag. Math. (N.S.) 10 (1999) 235-245
    • (1999) Indag. Math. (N.S.) , vol.10 , pp. 235-245
    • Gorni, G.1    Halszka, T.-G.2    Zampieri, G.3
  • 11
    • 31244433080 scopus 로고    scopus 로고
    • Open problems on GKK τ-matrices
    • Holtz O., and Schneider H. Open problems on GKK τ-matrices. Linear Algebra Appl. 345 (2002) 263-267
    • (2002) Linear Algebra Appl. , vol.345 , pp. 263-267
    • Holtz, O.1    Schneider, H.2
  • 14
    • 0033239809 scopus 로고    scopus 로고
    • An algorithm for checking regularity of interval matrices
    • Jansson C., and Rohn J. An algorithm for checking regularity of interval matrices. SIAM J. Matrix Anal. Appl. 20 (1999) 756-776
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 756-776
    • Jansson, C.1    Rohn, J.2
  • 16
    • 1942465194 scopus 로고
    • A class of globally univalent differentiable mappings
    • Olech C., Parthasarathy T., and Ravindran G. A class of globally univalent differentiable mappings. Arch. Math. (Brno) 26 (1990) 165-172
    • (1990) Arch. Math. (Brno) , vol.26 , pp. 165-172
    • Olech, C.1    Parthasarathy, T.2    Ravindran, G.3
  • 18
    • 0035628958 scopus 로고    scopus 로고
    • Self-validating methods
    • Rump S. Self-validating methods. Linear Algebra Appl. 324 (2001) 3-13
    • (2001) Linear Algebra Appl. , vol.324 , pp. 3-13
    • Rump, S.1
  • 19
    • 0034422799 scopus 로고    scopus 로고
    • Principal pivot transforms: properties and applications
    • Tsatsomeros M. Principal pivot transforms: properties and applications. Linear Algebra Appl. 300 (2000) 151-165
    • (2000) Linear Algebra Appl. , vol.300 , pp. 151-165
    • Tsatsomeros, M.1
  • 20
    • 0041684487 scopus 로고    scopus 로고
    • A recursive test for P-matrices
    • Tsatsomeros M., and Li L. A recursive test for P-matrices. BIT 40 (2000) 404-408
    • (2000) BIT , vol.40 , pp. 404-408
    • Tsatsomeros, M.1    Li, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.