Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
2186-2196
Opis fizyczny
Daty
wydano
2013-12-01
online
2013-10-08
Twórcy
autor
- Instute of Computer Science
autor
- Georgia State University
Bibliografia
- [1] Brualdi R.A., Kiernan K.P., Meyer S.A., Schroeder M.W., Patterns of alternating sign matrices, Linear Algebra Appl., 2013, 438(10), 3967–3990 http://dx.doi.org/10.1016/j.laa.2012.03.009
- [2] Brualdi R.A., Ryser H.J., Combinatorial Matrix Theory, Encyclopedia Math. Appl., 39, Cambridge University Press, Cambridge, 1991 http://dx.doi.org/10.1017/CBO9781107325708
- [3] Brualdi R.A., Shader B.L., Matrices of Sign-Solvable Linear Systems, Cambridge Tracts in Math., 116, Cambridge University Press, Cambridge, 1995 http://dx.doi.org/10.1017/CBO9780511574733
- [4] Chow T.S., A class of Hessenberg matrices with known eigenvalues and inverses, SIAM Rev., 1969, 11(3), 391–395 http://dx.doi.org/10.1137/1011065
- [5] Fiedler M., Complementary basic matrices, Linear Algebra Appl., 2004, 384, 199–206 http://dx.doi.org/10.1016/j.laa.2004.01.014
- [6] Fiedler M., Intrinsic products and factorizations of matrices, Linear Algebra Appl., 2008, 428(1), 5–13 http://dx.doi.org/10.1016/j.laa.2007.09.026
- [7] Fiedler M., Hall F.J., Some inheritance properties for complementary basic matrices, Linear Algebra Appl., 2010, 433(11–12), 2060–2069 http://dx.doi.org/10.1016/j.laa.2010.07.017
- [8] Fiedler M., Hall F.J., G-matrices, Linear Algebra Appl., 2012, 436(3), 731–741 http://dx.doi.org/10.1016/j.laa.2011.08.001
- [9] Fiedler M., Hall F.J., A note on permanents and generalized complementary basic matrices, Linear Algebra Appl., 2012, 436(9), 3553–3569 http://dx.doi.org/10.1016/j.laa.2011.12.030
- [10] Fiedler M., Hall F.J., Some graph theoretic properties of generalized complementary basic matrices, Linear Algebra Appl., 2013, 438(8), 3365–3374 http://dx.doi.org/10.1016/j.laa.2012.12.028
- [11] Fiedler M., Hall F.J., Stroev M., Permanents, determinants, and generalized complementary basic matrices (manuscript)
- [12] Gantmacher F.R., The Theory of Matrices II, Chelsea, New York, 1959
- [13] Hall F.J., Li Z., Sign Pattern Matrices, In: Handbook of Linear Algebra, Discrete Math. Appl. (Boca Raton), Chapman & Hall/CRC, Boca Raton, 2007
- [14] Horn R.A., Johnson C.R., Matrix Analysis, 2nd ed., Cambridge University Press, Cambridge, 2013
- [15] Johnson C.R., Sign patterns of inverse nonnegative matrices, Linear Algebra Appl., 1983, 55, 69–80 http://dx.doi.org/10.1016/0024-3795(83)90166-0
- [16] Mills W.H., Robbins D.P., Rumsey H. Jr., Alternating-sign matrices and descending plane partitions, J. Combin. Theory Ser. A, 1983, 34(3), 340–359 http://dx.doi.org/10.1016/0097-3165(83)90068-7
- [17] Seymour P.D., Decomposition of regular matroids, J. Comb. Theory Ser. B, 1980, 28(3), 305–359 http://dx.doi.org/10.1016/0095-8956(80)90075-1
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0309-6