The space of all p-th roots of a nilpotent complex matrix is path-connected
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.02.028
Abstract: Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected. read more here.
Keywords: complex matrix; nilpotent complex; space roots; path connected ... See more keywords
Quaternionic numerical range of complex matrices
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DOI: 10.1016/j.laa.2021.02.030
Abstract: The paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Tompson. Specifically, we show that the shape of the… read more here.
Keywords: complex matrix; numerical range; quaternionic numerical; range complex ... See more keywords
Low-Fouling Surface Plasmon Resonance Sensor for Highly Sensitive Detection of MicroRNA in a Complex Matrix Based on the DNA Tetrahedron.
Sign Up to like & getrecommendations! Published in 2018 at "Analytical chemistry"
DOI: 10.1021/acs.analchem.8b02686
Abstract: Antifouling surfaces that could reduce nonspecific adsorption from a complex matrix are a great challenge in surface plasmon resonance (SPR) sensors. An antifouling surface made by the covalent attachment of DNA tetrahedron probes (DTPs) onto… read more here.
Keywords: detection; complex matrix; surface; surface plasmon ... See more keywords
Incorporating Hydrophobic Moieties into Self-Assembled Monolayers to Enable Electrochemical Aptamer-Based Sensors Deployed Directly in a Complex Matrix.
Sign Up to like & getrecommendations! Published in 2022 at "ACS sensors"
DOI: 10.1021/acssensors.2c00995
Abstract: Continuous real-time measurement of specific targets in complex biological samples is of great significance for early diagnosis and treatment of diseases and thus enables achievement of personalized medicine. Electrochemical aptamer-based (E-AB) sensors are good candidates… read more here.
Keywords: aptamer based; complex matrix; electrochemical aptamer; assembled monolayers ... See more keywords
Correlators in the β-deformed Gaussian Hermitian and complex matrix models
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DOI: 10.1142/s0217751x1950221x
Abstract: We investigate the β-deformed Gaussian Hermitian and N × N complex matrix models which are defined as the eigenvalue integral representations. Their W1+∞ constraints are constructed such that the c... read more here.
Keywords: matrix models; complex matrix; hermitian complex; deformed gaussian ... See more keywords
Logarithm of a Non-Singular Complex Matrix via the Dunford-Taylor Integral
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11020051
Abstract: Using the Dunford–Taylor integral and a representation formula for the resolvent of a non-singular complex matrix, we find the logarithm of a non-singular complex matrix applying the Cauchy’s residue theorem if the matrix eigenvalues are… read more here.
Keywords: dunford taylor; non singular; taylor integral; matrix ... See more keywords