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Displaying 1921 – 1940 of 3024

On the signless Laplacian spectral characterization of the line graphs of $T$ -shape trees

Guoping Wang, Guangquan Guo, Li Min (2014)

Czechoslovak Mathematical Journal

A graph is determined by its signless Laplacian spectrum if no other non-isomorphic graph has the same signless Laplacian spectrum (simply $G$ is $D Q S$ ). Let $T (a, b, c)$ denote the $T$ -shape tree obtained by identifying the end vertices of three paths $P_{a + 2}$ , $P_{b + 2}$ and $P_{c + 2}$ . We prove that its all line graphs $ℒ (T (a, b, c))$ except $ℒ (T (t, t, 2 t + 1))$ ( $t \geq 1$ ) are $D Q S$ , and determine the graphs which have the same signless Laplacian spectrum as $ℒ (T (t, t, 2 t + 1))$ . Let $μ_{1} (G)$ be the maximum signless Laplacian eigenvalue of the graph $G$ . We give the limit of $μ_{1} (ℒ (T (a, b, c)))$ , too.

On the singular decomposition of matrices.

Petrescu-Niţă, Alina (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On the singular graph and the Weyr characteristic of an M-matrix.

Hans Schneider, D.J. Richman (1978)

Aequationes mathematicae

On the singular two-parameter eigenvalue problem.

Muhic, Andrej, Plestenjak, Bor (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On the singular values of random matrices

Shahar Mendelson, Grigoris Paouris (2014)

Journal of the European Mathematical Society

We present an approach that allows one to bound the largest and smallest singular values of an $N \times n$ random matrix with iid rows, distributed according to a measure on $ℝ^{n}$ that is supported in a relatively small ball and linear functionals are uniformly bounded in $L_{p}$ for some $p > 8$ , in a quantitative (non-asymptotic) fashion. Among the outcomes of this approach are optimal estimates of $1 \pm c \sqrt{n / N}$ not only in the case of the above mentioned measure, but also when the measure is log-concave or when it a product measure...

On the Singularities of Functions with Values in a Clifford Algebra.

Richard Delanghe (1972)

Mathematische Annalen

On the solution of multiparameter problems of algebra. IV: The $A B$ algorithm and its applications.

Kublanovskaya, V.N. (2004)

Zapiski Nauchnykh Seminarov POMI

On the solution of multiparameter problems of algebra. V: The $\nabla V$ - $q$ factorization algorithm and its applications.

Kublanovskaya, V.N. (2004)

Zapiski Nauchnykh Seminarov POMI

On the Solution of sigma-alpha Regular Generalized Linear Systems

E. Grispos (1999)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On the span invariant for cubic similarity

Gianluca Gorni, Halszka Tutaj-Gasińska (2001)

Annales Polonici Mathematici

Given a real n×n matrix A, we make some conjectures and prove partial results about the range of the function that maps the n-tuple x into the entrywise kth power of the n-tuple Ax. This is of interest in the study of the Jacobian Conjecture.

On the special trace decomposition problem on quaternion structure.

Lakomá, Lenka, Mikes̆, Josef (1997)

General Mathematics

On the spectral norm of a random Toeplitz matrix.

Meckes, Mark W. (2007)

Electronic Communications in Probability [electronic only]

On the star partial ordering of normal matrices.

Merikoski, Jorma K., Liu, Xiaoji (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the strong Arnol'd hypothesis and the connectivity of graphs.

Van Der Holst, Hein (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On the structure of nilpotent endomorphisms and applications.

Ene, Viviana (2006)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On the structure of positive maps between matrix algebras

Władysław A. Majewski, Marcin Marciniak (2007)

Banach Center Publications

The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.

On the subspace $L ({(x \land y)}^{m})$ of $S^{m} (Λ^{2} ℝ^{4})$ .

Gubarev, V.Yu. (2009)

Sibirskij Matematicheskij Zhurnal

On the symmetry classes of the first covariant derivatives of tensor fields.

Fiedler, Bernd (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

On the symplectic structure of irreducible representation modules of the metacyclic group $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ . (Zur symplektischen Struktur irreduzibler Darstellungsmoduln der metazyklischen Gruppe $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ .)

Roesch, Gerhard, Rosenbaum, Kurt (1995)

Beiträge zur Algebra und Geometrie

On the trace characterization of the joint spectral radius.

Xu, Jianhong (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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