Results 31 to 40 of about 424 (74)
ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP [PDF]
For an n×n nonnegative matrix P , an isomorphism is obtained between the lattice of initial subsets (of {1, · · · , n}) for P and the lattice of P -invariant faces of the nonnegative orthant R+.
B. Tam, H. Schneider
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Lattice-ordered matrix algebras over real GCD-domains
Let $ R \subset \R $ be a GCD-domain. In this paper, Weinberg's conjecture on the $ n \times n $ matrix algebra $ M_{n}(R) \ (n \geq 2) $ is proved. Moreover, all the lattice orders (up to isomorphisms) on a full $ 2 \times 2 $ matrix algebra over $ R ...
Bai, Xianlong, Li, Fei, Qiu, Derong
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A note on infinite extreme correlation matrices [PDF]
We give a characterization for the extreme points of the convex set of correlation matrices with a countable index set. A Hermitian matrix is called a correlation matrix if it is positive semidefinite with unit diagonal entries.
Kiukas, J., Pellonpää, J. -P.
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A polynomial time spectral decomposition test for certain classes of inverse M-matrices
The primary result in this paper is a set of O(n) time algorithms to determine whether a speci ed real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive de
Jeffrey L. Stuart
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Extremal copositive matrices with minimal zero supports of cardinality two
Let $A \in {\cal C}^n$ be an extremal copositive matrix with unit diagonal. Then the minimal zeros of $A$ all have supports of cardinality two if and only if the elements of $A$ are all from the set $\{-1,0,1\}$.
Hildebrand, Roland
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Pisot numbers, primitive matrices and beta-conjugates. We show that given a Pisot number β, for any integer n large enough, there is a nonnegative primitive square matrix whose order is equal to the degree of β, and the matrix admits β for eingenvalue ...
Anne Bertrand-Mathis
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Extensions of inequalities involving Kantorovich constant
In this paper, two methods of extending inequalities involving Kantorovich constant are presented. An inequality of Micic et al. [Linear Algebra Appl., 318 (2000), 87–107] on positive linear maps and geometric mean of positive definite matrices is ...
M. Niezgoda
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We propose new notions of monotonicity for real matrices in order to characterize a particular notion of interval boundedness of various generalized inverses. AMS Subject Classification: 15A09, 15A48.
Sachindranath Jayaraman, K. Sivakumar
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Inverse elementary divisor problems for nonnegative matrices
The aim of this paper is to answer three questions formulated by H. Minc in his two papers and book on the problem of prescribed elementary divisors for entrywise nonnegative or doubly stochastic matrices.
B. Nagy
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On nonnegative operators and fully cyclic peripheral spectrum
In this note the properties of the peripheral spectrumof a nonnegative linear operator A (for which the spectral radius is a pole of its resolvent) in a complex Banach lattice are studied.
K.-H F Orster, And B Nagy
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