[PDF] Top 20 vol18_pp530-563. 600KB Jun 04 2011 12:06:04 AM

... Given a field F and a graph G, we have considered the problem of finding the minimum rank maximum nullity of any graph obtained fromGby subdividing edges.. Theorem 2.5 enables us to red[r] ... Lihat dokumen lengkap

... Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications.. Kite-free distance-regular graphs.[r] ... Lihat dokumen lengkap

... showed that every n×n irreducible, spectrally arbitrary sign pattern matrix must have at least 2n−1 nonzero entries and they provided families of sign pattern matrices that have exactly [r] ... Lihat dokumen lengkap

... In this section we employ different techniques to construct infinite families of symmetric rational or-thogonal matrices with specified zero-pattern and trace.. The following well-known[r] ... Lihat dokumen lengkap

... Moreover, the realizations given in the proof of Theorem 5.3 show that all of these irreducible patterns are potentially nilpotent overRexceptthe pattern in Case 4.. Second,ifAis potent[r] ... Lihat dokumen lengkap

... Finding an explicit representation for the Drazin inverse of a general 2 × 2 block matrix, posed by Campbell in [4], appears to be difficult. This problem was investi- gated in many papers (see [21], [27], [14], [22], ... Lihat dokumen lengkap

... 4. Group Inverse for a Class 2 × 2 Block Matrices. The group inverses of block matrices have various applications in singular differential and difference equa- tions, Markov chains, iterative methods; see [1], [3], [6], ... Lihat dokumen lengkap

... C.flag contains a verbal description of the output. Contrary to the description of the algorithm (Fig. 3.1) a vector (or matrix) of NaN’s is used instead of an empty output here (thus complying to the INTLAB [12] ... Lihat dokumen lengkap

... Determinant, Matrix factorization, Generalized Pascal triangle, Generalized sym-metric skymsym-metric Pascal triangle, Toeplitz matrix, Recursive relation, Fibonacci Lucas, Catalan seque[r] ... Lihat dokumen lengkap

... In Section 2, we give two preparation lemmas. One of them is about matrix triples up to congruence; its proof is based on the method of reducing the problem of classifying systems of forms and linear mappings to the ... Lihat dokumen lengkap

... In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants Theorem 4.1, condition xxxii, matrix inverses xxx, linear equations xxv[r] ... Lihat dokumen lengkap

... For complex nilpotent Lie algebras with a small second derived quotient, it was found that U is the direct sum of a generalized Heisenberg algebra and an abelian Lie algebra, and that K [r] ... Lihat dokumen lengkap

... Let λ1G be the largest eigenvalue of the adjacency matrix of graph G withn vertices andmaximum degree ∆.. Li, A note on the largest eigenvalue of non-regular graphs, Electron J.[r] ... Lihat dokumen lengkap

... Then the numerical range ofT is a closed disk about the origin, and its numerical radius is determined in terms of the reciprocal of the minimum positive root of a hypergeometric functio[r] ... Lihat dokumen lengkap

... P-F property); see, e.g., [2], [3], [11], [14], where these concepts are studied and used. The P-F property is historically associated with nonnegative matrices; see the seminal papers by Perron [12] and Frobenius ... Lihat dokumen lengkap

... If no loop of weight zero appears in the path, we perform surgery on it. Suppose there exist F loops used in the path (appearing with various multiplicities); we can ensure that F ≥ (N + n − 1)/n, as there exists one ... Lihat dokumen lengkap

... Applications include computing the rank ofA, nding a maximum matching inT, computing the rank and determinant of the associated neighborhood matrix, and computing the characteristic po[r] ... Lihat dokumen lengkap

... Collecting these coordinate columns, we may construct thenmi matrix nmii as Vandermonde is dened by matrix = To extend this concept further, we recall the q-adic expansion of a give[r] ... Lihat dokumen lengkap

... Field of values, numerical range, generalized numerical range, Krein space, convexity, linear preserver, indenite inner product space.. LetM nbe the algebra of nncomplex matrices.[r] ... Lihat dokumen lengkap

... Fermat, 45 Avenue des Etats Unis, 78035 Versailles Cedex France email: [email protected] SubmittedSeptember 22, 2010, accepted in final formDecember 20, 2011 AMS 2000 Subject classifica[r] ... Lihat dokumen lengkap