On some conjectures concerning the Böttcher-Wenzel inequality for weighted Frobenius norms

Συγγραφείς: Wenbo Fang, Che-Man Cheng

Πηγή: Linear Algebra and its Applications. 718:1-13

Θεματικοί όροι: Positive matrices and their generalizations, cones of matrices, Miscellaneous inequalities involving matrices, Böttcher-Wenzel inequality, weighted Frobenius norm, Norms of matrices, numerical range, applications of functional analysis to matrix theory

Περιγραφή αρχείου: application/xml

Matrix Completion and Decomposition in Phase-Bounded Cones: Matrix completion and decomposition in phase-bounded cones

Συγγραφείς: Ding Zhang, Axel Ringh, Li Qiu

Πηγή: SIAM Journal on Matrix Analysis and Applications. 46:837-857

Θεματικοί όροι: Numerical optimization and variational techniques, decomposition, Rings and Algebras, numerical range, Matrix completion problems, Systems and Control (eess.SY), chordal graph, Optimization and Control (math.OC), Rings and Algebras (math.RA), Optimization and Control, Numerical range, numerical radius, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Norms of matrices, numerical range, applications of functional analysis to matrix theory, phases, completion, Systems and Control

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.10282

On k-Circulant matrices involving the Lucas numbers of even index: On \(k\)-circulant matrices involving the Lucas numbers of even index

Συγγραφείς: Radičić, Biljana

Πηγή: Mathematica Slovaca. 75:69-82

Θεματικοί όροι: Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, norms of a matrix, eigenvalues, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Matrices, determinants in number theory, Matrices of integers, \(k\)-circulant matrix, Lucas numbers, Hadamard inverse

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8010382
https://doi.org/10.1515/ms-2025-0006

Numerical radius inequalities for the weighted sums of Hilbert space operators

Συγγραφείς: Pang, Songyue, Liang, Yu-Xia

Πηγή: Journal of Mathematical Inequalities. :307-331

Θεματικοί όροι: convex function operator, Young's inequality, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Norms (inequalities, more than one norm, etc.) of linear operators, numerical radius

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8032790
https://doi.org/10.7153/jmi-2025-19-22

Some Yang-Wang-Ren type inequalities

Συγγραφείς: Ren, Yonghui, Zuo, Hongliang, Niu, Xinyu

Πηγή: Journal of Mathematical Inequalities. :275-285

Θεματικοί όροι: Miscellaneous inequalities involving matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Determinants, permanents, traces, other special matrix functions, Norms (inequalities, more than one norm, etc.) of linear operators, determinant, weighted power means

Περιγραφή αρχείου: application/xml

A weighted Welch inequality

Συγγραφείς: Manolescu, Laura

Πηγή: Journal of Mathematical Inequalities. :165-175

Θεματικοί όροι: Welch inequality, Miscellaneous inequalities involving matrices, frame, Norms of matrices, numerical range, applications of functional analysis to matrix theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8032779
https://doi.org/10.7153/jmi-2025-19-11

Mean-type inequalities for the numerical radius and the operator norm

Συγγραφείς: Hosseini, Amin, Hassani, Mahmoud, Moradi, Hamid Reza

Πηγή: Journal of Mathematical Inequalities. :261-273

Θεματικοί όροι: inner product, operator norm, polar decomposition, Numerical range, numerical radius, Hermitian and normal operators (spectral measures, functional calculus, etc.), Norms of matrices, numerical range, applications of functional analysis to matrix theory, Norms (inequalities, more than one norm, etc.) of linear operators, numerical radius, Equations and inequalities involving linear operators, with vector unknowns

Περιγραφή αρχείου: application/xml

Minimization problem solvable by weighted m-weak group inverse: Minimization problem solvable by weighted \(m\)-weak group inverse

Συγγραφείς: Dijana Mosić, Predrag S. Stanimirović, Lev A. Kazakovtsev

Πηγή: Journal of Applied Mathematics and Computing. 70:6259-6281

Θεματικοί όροι: Applications of generalized inverses, weighted core-EP inverse, weighted weak group inverse, Numerical computation of matrix norms, conditioning, scaling, Matrix equations and identities, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Theory of matrix inversion and generalized inverses, Direct numerical methods for linear systems and matrix inversion, weighted \(m\)-weak group inverse

Περιγραφή αρχείου: application/xml

Estimation of lower bound for the smallest singular value enclosure of interval matrices

Συγγραφείς: Sarishti Singh, Geetanjali Panda

Πηγή: Journal of Applied Mathematics and Computing. 70:5543-5556

Θεματικοί όροι: interval norm, Eigenvalues, singular values, and eigenvectors, General methods in interval analysis, singular values, interval matrix, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Determinants, permanents, traces, other special matrix functions, interval determinant, Inequalities involving eigenvalues and eigenvectors

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8036672
https://doi.org/10.1007/s12190-024-02180-7

Nonlinear matrix equations involving Kubo–Ando means: Nonlinear matrix equations involving Kubo-Ando means

Συγγραφείς: Trung Hoa Dinh, Anh Vu Le, Anh Thi Nguyen, Ai Nhan D. Nguyen

Πηγή: Acta Scientiarum Mathematicarum. 90:667-678

Θεματικοί όροι: Positive matrices and their generalizations, cones of matrices, multi-step stationary iterative method, matrix equations, positive definite matrices, Matrix equations and identities, Norms of matrices, numerical range, applications of functional analysis to matrix theory, fixed point theorem, Kubo-Ando means

Περιγραφή αρχείου: application/xml

Matrix inequalities between $$f(A)\sigma f(B)$$ and $$A\sigma B$$: Matrix inequalities between \(f(A)\sigma f(B)\) and \(A\sigma B\)

Συγγραφείς: Devi, Manisha, Aujla, Jaspal Singh, Kian, Mohsen, Moslehian, Mohammad Sal

Πηγή: Aequationes mathematicae. 99:539-554

Θεματικοί όροι: convex function, Mathematics - Functional Analysis, Miscellaneous inequalities involving matrices, unitarily invariant norm, matrix mean, Norms of matrices, numerical range, applications of functional analysis to matrix theory, concave function, Determinants, permanents, traces, other special matrix functions, determinant inequality, 15A60, 15A42, Convexity of real functions of several variables, generalizations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2302.08127

Singular value inequalities of matrices via increasing functions

Συγγραφείς: Wasim Audeh, Anwar Al-Boustanji, Manal Al-Labadi, Raja’a Al-Naimi

Πηγή: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)

Θεματικοί όροι: convex function, Eigenvalues, singular values, and eigenvectors, unitarily invariant norm, singular value, increasing function, Unitarily invariant norm, Inequalities involving eigenvalues and eigenvectors, positive semidefinite matrix, Singular value, Positive semidefinite matrix, Convex function, QA1-939, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Linear operator inequalities, Increasing function, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8034393
https://doi.org/10.1186/s13660-024-03193-3
https://doaj.org/article/f47c52869b6d4a43927c62acf43ebaeb

On the Continuity of the Tangent Cone to the Determinantal Variety: On the continuity of the tangent cone to the determinantal variety

Συγγραφείς: Guillaume Olikier, P.-A. Absil

Συνεισφορές: UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique

Πηγή: Set-Valued and Variational Analysis, Vol. 30, p. 769-788 (2022)

Θεματικοί όροι: Statistics and Probability, Numerical Analysis, determinantal variety, tangent and normal cones, set convergence, Applied Mathematics, Nonsmooth analysis, low-rank matrices, Numerical Analysis (math.NA), Determinantal varieties, inner and outer limits, Nonconvex programming, global optimization, inner and outer semicontinuity, Numerical mathematical programming methods, Optimization and Control (math.OC), 14M12, 15B99, 26E25, 49J53, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, set-valued mappings, Geometry and Topology, Mathematics - Numerical Analysis, Mathematics - Optimization and Control, Analysis, Set-valued and variational analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2201.03979
http://arxiv.org/abs/2201.03979
https://hdl.handle.net/2078.1/262947

Note on subdirect sums of $ \{i_0\} $-Nekrasov matrices: Note on subdirect sums of \(\{i_0\}\)-Nekrasov matrices

Συγγραφείς: Jing Xia

Πηγή: AIMS Mathematics, Vol 7, Iss 1, Pp 617-631 (2022)

Θεματικοί όροι: Vector spaces, linear dependence, rank, lineability, {i0}-nekrasov matrices, QA1-939, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Nekrasov matrices, 0101 mathematics, s-nekrasov matrices, subdirect sum, Inequalities involving eigenvalues and eigenvectors, 01 natural sciences, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/67bf87c6395c4753870decaffae689b7
https://www.aimspress.com/article/doi/10.3934/math.2022039

Properties of Structured Tensors and Complementarity Problems: Properties of structured tensors and complementarity problems

Συγγραφείς: Wei Mei, Qingzhi Yang

Πηγή: Journal of Optimization Theory and Applications. 185:99-114

Θεματικοί όροι: structured tensor, norm, Miscellaneous inequalities involving matrices, tensor complementarity problems, Multilinear algebra, tensor calculus, upper and lower bounds, 0211 other engineering and technologies, Norms of matrices, numerical range, applications of functional analysis to matrix theory, strictly semi-positive tensor, 02 engineering and technology, 0101 mathematics, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), 01 natural sciences

Περιγραφή αρχείου: application/xml

On some trace inequalities

Συγγραφείς: Dinh, Trung Hoa, Dumitru, Raluca, Franco, Jose A., Le, Cong Trinh

Πηγή: Mathematical Inequalities & Applications. :467-476

Θεματικοί όροι: Positive matrices and their generalizations, cones of matrices, Miscellaneous inequalities involving matrices, operator convex functions, Norms of matrices, numerical range, applications of functional analysis to matrix theory, positive semidefinite matrices, trace inequalities, 0101 mathematics, Trace inequalities, operator monotone functions, Operator convex functions, 01 natural sciences, Operator monotone functions, Positive semidefinite matrices

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://files.ele-math.com/abstracts/mia-23-38-abs.pdf

An extension of inequalities by Ando

Συγγραφείς: Ricard, Éric

Συνεισφορές: Laboratoire de Mathématiques Nicolas Oresme (LMNO), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)

Πηγή: Linear Algebra and its Applications. 580:336-342

Θεματικοί όροι: Mathematics - Functional Analysis, Miscellaneous inequalities involving matrices, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, norm inequalities, functional calculus, 0101 mathematics, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 10. No inequality, 01 natural sciences, Functional Analysis (math.FA)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/am/pii/S0024379519302812
http://arxiv.org/abs/1907.02492
https://zbmath.org/7106826
https://doi.org/10.1016/j.laa.2019.06.029
https://www.sciencedirect.com/science/article/abs/pii/S0024379519302812
https://ui.adsabs.harvard.edu/abs/2019arXiv190702492R/abstract
http://arxiv-export-lb.library.cornell.edu/abs/1907.02492
http://arxiv.org/pdf/1907.02492.pdf
https://arxiv.org/abs/1907.02492

On k-circulant matrices with the Lucas numbers: On \(k\)-circulant matrices with the Lucas numbers

Συγγραφείς: Biljana Radicic

Πηγή: Filomat. 32:4037-4046

Θεματικοί όροι: Eigenvalues, singular values, and eigenvectors, Toeplitz, Cauchy, and related matrices, Euclidean norm, spectral norm, eigenvalues, Fibonacci and Lucas numbers and polynomials and generalizations, Norms of matrices, numerical range, applications of functional analysis to matrix theory, 0101 mathematics, \(k\)-circulant matrix, Lucas numbers, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801811037R
https://zbmath.org/7546101
https://doi.org/10.2298/fil1811037r

Random Toeplitz matrices: The condition number under high stochastic dependence: Random Toeplitz matrices: the condition number under high stochastic dependence

Συγγραφείς: Paulo Manrique-Mirón

Πηγή: Random Matrices: Theory and Applications. 11

Θεματικοί όροι: Random matrices (algebraic aspects), Toeplitz, Cauchy, and related matrices, random trigonometric polynomial, Numerical computation of matrix norms, conditioning, scaling, Probability (math.PR), small ball probability, Salem-Zygmund type inequality, Numerical Analysis (math.NA), 01 natural sciences, random Hankel matrix, decoupling, random Toeplitz matrix, random circulant matrix, Ill-posedness and regularization problems in numerical linear algebra, locally sub-Gaussian random variables, FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Mathematics - Numerical Analysis, 0101 mathematics, Mathematics - Probability, condition number

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2005.09775
http://arxiv.org/abs/2005.09775
https://zbmath.org/7562974
https://doi.org/10.1142/s2010326322500277
https://worldscientific.com/doi/10.1142/S2010326322500277
https://dblp.uni-trier.de/db/journals/corr/corr2005.html#abs-2005-09775

Joint spectral radius, Sturmian measures and the finiteness conjecture

Συγγραφείς: Jenkinson, O, Pollicott, M

Πηγή: Ergodic Theory and Dynamical Systems. 38:3062-3100

Θεματικοί όροι: FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Relations of ergodic theory with number theory and harmonic analysis, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, QA, Sturmian measure, 10. No inequality, 16. Peace & justice, joint spectral radius, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1501.03419
http://arxiv.org/abs/1501.03419
http://wrap.warwick.ac.uk/85561/7/WRAP-joint-radius-measures-finiteness-Pollicott-2017.pdf
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/joint-spectral-radius-sturmian-measures-and-the-finiteness-conjecture/56F42E7C7709364128FA34DD1A6DDBC1
http://qmro.qmul.ac.uk/xmlui/handle/123456789/19407
http://wrap.warwick.ac.uk/85561/
https://www.arxiv-vanity.com/papers/1501.03419/