Results 51 to 60 of about 2,610,164 (335)

On the separation of eigenvalues by the permutation group

open access: yesSpecial Matrices, 2014
Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
doaj   +1 more source

Direct Iterative Photonic Integrated Matrix Inverter

open access: yesCLEO 2023, 2023
We demonstrate the first chip-based real-valued direct photonic matrix inverter using coherent sources. At a rate of 2×10 5 inversions/s, a 16×16 diagonal matrix and a 2×2 arbitrary matrix are inverted with 99.2% and 93.7% accuracy.
Chen, M   +6 more
openaire   +1 more source

The structure of invertible substitutions on a three-letter alphabet [PDF]

open access: yes, 2004
We study the structure of invertible substitutions on three-letter alphabet. We show that there exists a finite set S of invertible substitutions such that any invertible substitution can be written as Iw∘σ1∘σ2∘⋯∘σk, where Iw is the inner automorphism ...
Tan, Bo, Wen, Zhi-Xiong, Zhang, Yiping
core   +1 more source

Commutators and Anti-Commutators of Idempotents in Rings

open access: yes, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +1 more source

Technical note: Finite element formulations to map discrete fracture elements in three-dimensional groundwater models [PDF]

open access: yesHydrology and Earth System Sciences
Typically, in finite element groundwater models, fractures are represented by two-dimensional triangular or quadrilateral elements. When embedded in a three-dimensional space, the Jacobian matrix governing the transformation from the global three ...
R. de Rooij
doaj   +1 more source

Refinements of Kantorovich Inequality for Hermitian Matrices

open access: yesJournal of Applied Mathematics, 2012
Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
doaj   +1 more source

Computing the nearest stable matrix pairs [PDF]

open access: yesNumerical Linear Algebra with Applications, 2017
In this paper, we study the nearest stable matrix pair problem: given a square matrix pair (E,A), minimize the Frobenius norm of (ΔE,ΔA) such that (E+ΔE,A+ΔA) is a stable matrix pair.
Nicolas Gillis   +2 more
semanticscholar   +1 more source

Escape from TGF‐β‐induced senescence promotes aggressive hallmarks in epithelial hepatocellular carcinoma cells

open access: yesMolecular Oncology, EarlyView.
Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu   +11 more
wiley   +1 more source

Stationarity and Invertibility of a Dynamic Correlation Matrix [PDF]

open access: yesAdvances in Economics, Business and Management Research, 2017
One of the most widely-used multivariate conditional volatility models is the dynamic conditional correlation (or DCC) specification. However, the underlying stochastic process to derive DCC has not yet been established, which has made problematic the derivation of asymptotic properties of the Quasi-Maximum Likelihood Estimators (QMLE). To date, the
Christian M. Hafner, Michael McAleer
openaire   +2 more sources

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