Results 1 to 10 of about 718 (189)
Using Platelet-Rich Fibrin to Remove Graphite Tattoos May Yield Excellent Long-Term Result [PDF]
Case Reports in DentistryGraphite tattoos are rarely reported because they are mainly caused by an accidental injury or habits during childhood that cause a pencil to penetrate the oral mucosa.
Young Joon Cho +3 more
doaj +2 more sources
Journal of Computational and Applied Mathematics, 1991 Typical matrix eigenvalue problems, quadratic or linear, are best formulated as pencils \((A,M)\) in which both \(A\) and \(M\) are real and symmetric. This fact is emphasized in the paper through a set of physical examples. Then, the canonical forms are used to explain the role of the sign characteristic attached to real eigenvalues.
Beresford N Parlett
exaly +3 more sources
Lur’e equations and even matrix pencils
Linear Algebra and Its Applications, 2011 The set of solutions of Lur'e equations in terms of deflating subspaces of even matrix pencils is characterized. It is shown that there exist special extremal solutions in terms of definiteness and a procedure to construct these solutions via deflating subspaces of even matrix pencils is formulated.
Timo Reis
exaly +3 more sources
On the Nearest Singular Matrix Pencil [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 Given a regular matrix pencil A + μE, we consider the problem of determining the nearest singular matrix pencil with respect to the Frobenius norm. We present new approaches based on the solution of matrix differential equations for determining the nearest singular pencil A + ΔA + μ(E + ΔE), one approach for general singular pencils and another one ...
Guglielmi, N. +2 more
openaire +3 more sources
Journal of Automation and Intelligence, 2023 In this paper we address the issue of output-feedback robust control for a class of feedforward nonlinear systems. Essentially different from the related literature, the feedback/input signals are corrupted by additive noises and can only be transmitted ...
Hefu Ye +2 more
doaj +1 more source
Miscellaneous equalities for idempotent matrices with applications
Open Mathematics, 2020 This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
doaj +1 more source
Matrix pencils and entanglement classification [PDF]
Journal of Mathematical Physics, 2010 Quantum entanglement plays a central role in quantum information processing. A main objective of the theory is to classify different types of entanglement according to their interconvertibility through manipulations that do not require additional entanglement to perform.
Chitambar, Eric +2 more
openaire +3 more sources
Matrix pencil and system poles [PDF]
Signal Processing, 1990 Abstract Poles of a linear time-invariant system can be extracted from a matrix pencil constructed from the transient response of the system. Three subspace filtering techniques applicable to the matrix pencil method are presented briefly in a unified way.
Hua, Yingbo, Sarkar, Tapan K
openaire +3 more sources
Hilbert’s 17th problem in free skew fields
Forum of Mathematics, Sigma, 2020 This paper solves the rational noncommutative analogue of Hilbert’s 17th problem: if a noncommutative rational function is positive semidefinite on all tuples of Hermitian matrices in its domain, then it is a sum of Hermitian squares of noncommutative ...
Jurij Volčič
doaj +1 more source
Pseudospectra of Loewner Matrix Pencils
, 2022 Loewner matrix pencils play a central role in the system realization theory of Mayo and Antoulas, an important development in data-driven modeling. The eigenvalues of these pencils reveal system poles. How robust are the poles recovered via Loewner realization?
Mark Embree, Antonio Cosmin Ionita
openaire +2 more sources