Results 11 to 20 of about 629 (50)
Hermite-Biehler, Routh-Hurwitz, and total positivity [PDF]
, 2003 Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.Comment: 4 ...
Anagnost +17 more
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Singular value estimates of oblique projections [PDF]
, 2009 Let W and M be two finite dimensional subspaces of a Hilbert space H such that H = W ⊕ M⊥, and let PW {norm of matrix} M⊥ denote the oblique projection with range W and nullspace M⊥. In this article we get the following formula for the singular values of
Antezana, Jorge Abel, Corach, Gustavo
core +2 more sources
Inverse and factorization of triangular Toeplitz matrices
, 2018 In this paper, we present a new approach for finding the inverse of some triangular Toeplitz matrices using the generalized Fibonacci polynomials and give a factorization of these matrices.
Adem Şahin
semanticscholar +1 more source
On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj +1 more source
Maximizing the determinant for a special class of block‐partitioned matrices
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 49-61, 2004., 2004 An analytical solution is found for the maximum determinant of a block‐partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.
Otilia Popescu +2 more
wiley +1 more source
Algorithm of J‐factorization of rational matrices with zeros and poles on the imaginary axis
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2873-2885, 2003., 2003 The problem of J‐factorization of rational matrices, which have zeros and poles on the imaginary axis, is reduced to construction of the solutions of two algebraic Riccati equations. For construction of these solutions, it is offered to use appropriate algorithms.
Vladimir B. Larin
wiley +1 more source
On linear combinations of two idempotent matrices over an arbitrary field [PDF]
, 2010 Given an arbitrary field K and non-zero scalars a and b, we give necessary and sufficient conditions for a matrix A in M_n(K) to be a linear combination of two idempotents with coefficients a and b. This extends results previously obtained by Hartwig and
Clément de Seguins Pazzis +3 more
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A note on the sensitivity analysis for the symplectic QR factorization
, 2017 In this note, the rigorous perturbation bounds for R factor of the implicit Bunch form of the symplectic QR factorization under normwise perturbation are derived by using the block matrix-vector equation approach, the technique of Lyapunov majorant ...
Hanyu Li, Peng Lv
semanticscholar +1 more source
A simple sufficient condition for complete positivity
, 2015 We use row sums and rank to give a sufficient condition on the diagonal entries of a doubly nonnegative matrix for it to be completely positive and its cp-rank equal to its rank. Mathematics subject classification (2010): 15A23, 15B48, 15B57.
W. So, Changqing Xu
semanticscholar +1 more source
Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels
, 2020 We obtain several analogs of real polar decomposition for even dimensional matrices. In particular, we decompose a non-degenerate matrix as a product of a Hamiltonian and an anti-symplectic matrix and under additional requirements we decompose a matrix ...
Teretenkov, A. E.
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