Электронный архив

Просмотр по автору "Al'pin Y."

Просмотр по автору "Al'pin Y."

Отсортировать по:Сортировать:Результаты поиска на странице:

  • A criterion for unitary congruence between complex matrices 
    Al'pin Y.; Ikramov K. (2012)
    Let A and B be square complex matrices of the same order n. Based on an important result Y. P. Hong and R. A. Horn, we propose a criterion for verifying unitary congruence of these matrices. The criterion requires that a ...
  • A criterion for unitary congruence between matrices 
    Al'pin Y.; Ikramov K. (2011)
    A criteria for unitary congruence between matrices is discussed. Matrices are proved to be unitarily congruent and thus the verification of unitary congruence between two matrices reduces to the condition of unitary ...
  • A formula for the Perron vector of astochastic matrix 
    Al'pin Y. (2010)
    The paper suggests a new linear-algebraic proof of a formula for the Perron vector (stationary distribution) of a stochastic matrix, known in the theory of Markov chains. Bibliography: 5 titles. © 2010 Springer Science+Business ...
  • Bounds for joint spectral radii of a set of nonnegative matrices 
    Al'pin Y. (2010)
    Bounds for joint spectral radii of a set of nonnegative matrices are established by using the apparatus of idempotent algebra. © Pleiades Publishing, Ltd., 2010.
  • Combinatorial properties of irreducible semigroups of nonnegative matrices 
    Al'pin Y.; Al'pina V. (2013)
    The paper suggests a combinatorial proof of the Protasov-Voynov theorem on an irreducible semigroup of nanonegative matrices free of positive matrices. This solves the problem posed by the authors of the theorem. Bibliography: ...
  • Combinatorial structure of k-semiprimitive matrix families 
    Al'pin Y.; Al'pina V. (2016)
    © 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.Protasov's Theorem on the combinatorial structure of k-primitive families of non-negative matrices is generalized to k-semiprimitive matrix ...
  • Harary's Theorem on Signed Graphs and Reversibility of Markov Chains 
    Al'pin Y. (2014)
    A counterpart of the well-known Harary theorem on signed graphs is proved for digraphs over groups. This result is then used to derive a known theorem on the diagonal similarity of matrices and Kolmogorov's criterion of ...
  • Joint bounds for the Perron roots of nonnegative matrices with applications 
    Al'pin Y.; Kolotilina L.; Korneeva N. (2007)
    Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the row sums of the matrices D-1 A(x) D, x ∈ X, where D is a specially chosen nonsingular diagonal matrix. These bounds, depending ...
  • On the simultaneous triangulability of matrices 
    Al'pin Y.; Koreshkov N. (2000)
    Two necessary and sufficient criteria for the simultaneous triangulability of two complex matrices are established. Both of them admit a finite verification procedure. To prove the first criterion, classical theorems from ...
  • Permanental compound matrices and Schneider's theorem 
    Al'pina V.; Al'pin Y. (2006)
    Permanental compound matrices are investigated, compared with classical compound matrices, and used for estimating matrix eigenvalue products and root products of a polynomial. Bibliography: 8 titles. © Springer Science+Business ...
  • Solving the two-dimensional CIS problem by a rational algorithm 
    Al'pin Y.; George A.; Ikramov K. (2000)
    The CIS problem is formulated as follows. Let p be a fixed integer, 1≤p<n. For given n×n compex matrices A and B, can one verify whether A and B have a common invariant subspace of dimension p by a procedure employing a ...
  • The generalized monotonicity property of the Perron root 
    Al'pin Y.; Kolotilina L. (2007)
    The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is shown that this new property implies known monotonicity properties and also the Chistyakov two-sided bounds for the Perron ...
  • The Hankel matrix rank theorem revisited 
    Al'pin Y. (2017)
    © 2017 Elsevier Inc. We give a new short proof of a version of a Hankel matrix rank theorem. That version expresses the rank of H by the smallest possible rank of an infinite Hankel matrix containing H. The new approach ...
  • The matrix equation AX-YB=C and related problems 
    Al'pin Y.; Il'in S. (2006)
    The main result of the paper is a theorem, using which a new proof of Roth's theorem is obtained, a new solvability criterion for the matrix equation AX-YB = C is proved, a formula for a particular solution of the latter ...
  • The Perron-Frobenius theorem - A proof with the use of Markov chains 
    Al'pin Y.; Al'pina V. (2009)
    The Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph and the ergodic theorem of the theory of Markov chains. © 2009 Springer Science+Business Media, Inc.
  • Unitary similarity of algebras generated by pairs of orthoprojectors 
    Al'pin Y.; Ikramov K. (2006)
    It is shown that the unitary similarity of two matrix algebras generated by pairs of orthoprojectors { P1, Q1} and {P 2,Q2} can be verified by comparing the traces of P 1, Q1, and (P1Q1)i, i = 1, 2, n, with those of P2, ...

Поиск в электронном архиве

Просмотр

Моя учетная запись