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Displaying 361 – 380 of 425

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]

On the vectors associated with the roots of max-plus characteristic polynomials

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe (2020)

Applications of Mathematics

We discuss the eigenvalue problem in the max-plus algebra. For a max-plus square matrix, the roots of its characteristic polynomial are not its eigenvalues. In this paper, we give the notion of algebraic eigenvectors associated with the roots of characteristic polynomials. Algebraic eigenvectors are the analogues of the usual eigenvectors in the following three senses: (1) An algebraic eigenvector satisfies an equation similar to the equation $A \otimes x = λ \otimes x$ for usual eigenvectors. Under a suitable assumption,...

On the volume of the double stochastic matrices.

Schmuckenschläger, M. (1992)

Acta Mathematica Universitatis Comenianae. New Series

On the volume of the polytope of doubly stochastic matrices.

Chan, Clara S., Robbins, David P. (1999)

Experimental Mathematics

On the weak robustness of fuzzy matrices

Ján Plavka (2013)

Kybernetika

A matrix $A$ in $(max, min)$ -algebra (fuzzy matrix) is called weakly robust if $A^{k} \otimes x$ is an eigenvector of $A$ only if $x$ is an eigenvector of $A$ . The weak robustness of fuzzy matrices are studied and its properties are proved. A characterization of the weak robustness of fuzzy matrices is presented and an $O (n^{2})$ algorithm for checking the weak robustness is described.

Currently displaying 361 – 380 of 425

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