Results 51 to 60 of about 543,835 (181)

Lossy Compression using Adaptive Polynomial Image Encoding

open access: yesAdvances in Electrical and Computer Engineering, 2021
In this paper, an efficient lossy compression approach using adaptive-block polynomial curve-fitting encoding is proposed. The main idea of polynomial curve fitting is to reduce the number of data elements in an image block to a few coefficients.
OTHMAN, S.   +3 more
doaj   +1 more source

Polynomial computation of Hankel singular values [PDF]

open access: yes, 1992
A revised and improved version of a polynomial algorithm is presented. It was published by N.J. Young (1990) for the computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with a rotational ...
Kwakernaak, Huibert
core   +1 more source

Integral closure of rings of integer-valued polynomials on algebras

open access: yes, 2014
Let $D$ be an integrally closed domain with quotient field $K$. Let $A$ be a torsion-free $D$-algebra that is finitely generated as a $D$-module. For every $a$ in $A$ we consider its minimal polynomial $\mu_a(X)\in D[X]$, i.e.
G. Peruginelli   +10 more
core   +1 more source

Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations

open access: yesМатематичні Студії
We investigate the solutions of the Sylvester-type matrix polynomial equation $$A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda),$$ where\ $A(\lambda),$ \ $ B(\lambda),$\ and \ $C(\lambda)$ are the polynomial matrices with elements in a ring of ...
N. S. Dzhaliuk, V. M. Petrychkovych
doaj   +1 more source

ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS

open access: yesUral Mathematical Journal, 2023
Let \(\mathbb{C}^{m\times m}\) be the set of all \(m\times m\) matrices whose  entries are in \(\mathbb{C},\) the set of complex numbers. Then \(P(z):=\sum\limits_{j=0}^nA_jz^j,\) \(A_j\in \mathbb{C}^{m\times m},\) \(0\leq j\leq n\) is called a matrix ...
Zahid Bashir Monga, Wali Mohammad Shah
doaj   +1 more source

On Polynomial and Polynomial Matrix Interpolation [PDF]

open access: yes, 2002
The classical algorithms for computations with polynomials and polynomial matrices use elementary operations with their coefficients. The relative accuracy of such algorithms is relatively small and for polynomials of higher order and polynomial matrices of higher dimension the executing time grows very quickly.
Petr Hušek, Renata Pytelková
openaire   +1 more source

The q-Laguerre matrix polynomials [PDF]

open access: yesSpringerPlus, 2016
The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved. Its solution gives a generalized of the q-Laguerre polynomials in matrix variable.
openaire   +2 more sources

Autocorrelation of Random Matrix Polynomials [PDF]

open access: yesCommunications in Mathematical Physics, 2003
We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equivalent forms: as a determinant sum (and hence in terms of symmetric polynomials), as a combinatorial sum,
Conrey, JB   +4 more
openaire   +4 more sources

Matrix polynomials: Factorization via bisolvents

open access: yesLinear Algebra and its Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cohen, Nir, Pereira, Edgar
openaire   +1 more source

The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently

open access: yes, 2005
In this Letter we show that an arbitrarily good approximation to the propagator e^{itH} for a 1D lattice of n quantum spins with hamiltonian H may be obtained with polynomial computational resources in n and the error \epsilon, and exponential resources ...
M. A. Nielsen, Tobias J. Osborne
core   +1 more source

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