On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference

Συγγραφείς: Barbarino, Giovanni

Συνεισφορές: UE - Union Européenne, Alfred Kordelinin Säätiö

Πηγή: Linear Algebra and its Applications

Θεματικοί όροι: Signal theory (characterization, reconstruction, filtering, etc.), Para-unitary, Eigenvalues, singular values, and eigenvectors, Complex units, Physique, chimie, mathématiques & sciences de la terre, Pseudo-circulant decomposition, 02 engineering and technology, 01 natural sciences, Factorization of matrices, Sign ambiguities, Analytic singular value decomposition, Physical, chemical, mathematical & earth Sciences, rectangular matrices, analytic singular values decomposition, Singular vectors, para-unitary, pseudo-circulant decomposition, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Circulants, Discrete Mathematics and Combinatorics, Mathematics - Numerical Analysis, 0101 mathematics, multiplexed systems, Numerical Analysis, Algebra and Number Theory, Rectangular matrix, Rellich theorem, 15A23, 15A18, 15A54, 15B57, Numerical Analysis (math.NA), Analytic singular values decomposition, Mathématiques, Multiplexed systems, Rellich's theorem, Geometry and Topology, Rectangular matrices, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2312.00707
https://hdl.handle.net/20.500.12907/50343
https://doi.org/10.1016/j.laa.2024.03.027

Linear maps preserving the Cullis’ determinant. III

Συγγραφείς: Guterman Alexander, Yurkov Andrey

Πηγή: Special Matrices, Vol 14, Iss 1, Pp 944-1015 (2026)

Θεματικοί όροι: cullis’ determinant, linear preservers, rectangular matrices, 15a15, 15a86, 47b49, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: https://doaj.org/toc/2300-7451

Σύνδεσμος πρόσβασης: https://doaj.org/article/c3c59bd8d53d44ffa9881ef7e891ca08

Linear maps preserving the Cullis determinant of $(n+1)\times n$ matrices: Linear maps preserving the Cullis determinant of \((n+1)\times n\) matrices

Συγγραφείς: Guterman, Alexander, Yurkov, Andrey

Πηγή: Sarajevo Journal of Mathematics. 20:47-59

Θεματικοί όροι: Cullis determinant, rectangular matrices, Linear transformations, semilinear transformations, Linear preserver problems, Determinants, permanents, traces, other special matrix functions, linear preservers

Περιγραφή αρχείου: application/xml

A W-weighted generalization of $$\{1,2,3,1^{k}\}$$-inverse for rectangular matrices: A \(W\)-weighted generalization of \(\{1,2,3,1^k\}\)-inverse for rectangular matrices

Συγγραφείς: Geeta Chowdhry, Falguni Roy

Πηγή: The Journal of Analysis. 32:2913-2937

Θεματικοί όροι: rectangular matrices, inverse, Matrix equations and identities, FOS: Mathematics, 15A09, 15A23, 15A24, Theory of matrix inversion and generalized inverses, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Factorization of matrices

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2312.01370
https://zbmath.org/7965064
https://doi.org/10.1007/s41478-024-00759-8

Exact QR factorizations of rectangular matrices

Συγγραφείς: Christopher J. Lourenco, Erick Moreno-Centeno

Πηγή: Optimization Letters. 18:681-695

Θεματικοί όροι: Linear equations (linear algebraic aspects), Iterative numerical methods for linear systems, Exact QR Factorizations, least squares problems, Roundoff Errors, QR factorization, Computations on Rectangular Matrices, exact solution of linear systems, quadratic programming, Quadratic programming, Exact Algorithms, Direct numerical methods for linear systems and matrix inversion, Factorization of matrices, Computational Linear Algebra, Exact Matrix Factorizations, Exact Linear Algebra

Περιγραφή αρχείου: application/xml; application/pdf

Linear maps on matrices preserving parallel pairs

Συγγραφείς: Li, Chi-Kwong^Aff1, Tsai, Ming-Cheng^{Aff2, IDs43037025004416_cor1}, Wang, Ya-Shu^Aff3, Wong, Ngai-Ching^{Aff4, Aff5}

Πηγή: Banach Journal of Mathematical Analysis. 19(3)

A Theory of Singular Values for Finite Free Probability: A theory of singular values for finite free probability

Συγγραφείς: Gribinski, Aurelien

Πηγή: Journal of Theoretical Probability. 37:1257-1298

Θεματικοί όροι: Free probability and free operator algebras, Random matrices (algebraic aspects), rectangular matrices, Probability (math.PR), Mathematics - Operator Algebras, FOS: Mathematics, Central limit and other weak theorems, Probability measures on groups or semigroups, Fourier transforms, factorization, 0101 mathematics, Operator Algebras (math.OA), 01 natural sciences, free probability, Mathematics - Probability

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2208.09768
https://zbmath.org/7865970
https://doi.org/10.1007/s10959-023-01295-0

Clique numbers of the total graphs of the \(2 \times n\) and \(3 \times 3\) matrices

Συγγραφείς: Maksaev, A. M., Promyslov, V. V., Sheshenya, D. S.

Θεματικοί όροι: Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), Graphs and linear algebra (matrices, eigenvalues, etc.), General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.), rectangular matrices over a field, Exact enumeration problems, generating functions, Endomorphism rings, matrix rings, relations on rings

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8037899

On eigenvalues of rectangular matrices

Συγγραφείς: Shapiro, Boris, 1957-, Author, Shapiro, Michael, 1963-, Author

Συνεισφορές: Shapiro, Boris, 1957-, Author, Shapiro, Michael, 1963-, Author

Πηγή: Proceedings of the Steklov Institute of Mathematics. 267(1):248-255

Θεματικοί όροι: eigenvalues, rectangular matrices, MATHEMATICS, Algebra, geometry and mathematical analysis, MATEMATIK, geometri och analys, Mathematics, matematik

Περιγραφή αρχείου: electronic

Σύνδεσμος πρόσβασης: https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-49753
https://su.diva-portal.org/smash/get/diva2:379361/FULLTEXT01.pdf

Faster Algorithms for Rectangular Matrix Multiplication

Συγγραφείς: Le Gall, Francois

Πηγή: 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science Foundations of Computer Science (FOCS), 2012 IEEE 53rd Annual Symposium on. :514-523 Oct, 2012

Relation: 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science (FOCS)

An efficient matrix iteration family for finding the generalized outer inverse

Συγγραφείς: Kansal, Munish ^⁎, Kumar, Sanjeev, Kaur, Manpreet

Πηγή: In Applied Mathematics and Computation 1 October 2022 430

Almost strictly sign regular rectangular matrices

Συγγραφείς: Alonso, P. ^{a, ⁎}, Peña, J.M. ^b, Serrano, M.L. ^a

Πηγή: In Journal of Computational and Applied Mathematics April 2022 404

Bounded Solutions of a System of Linear Inhomogeneous Differential Equations of the First Order with Rectangular Matrices: Bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices

Συγγραφείς: Boichuk, A. A., Elishevich, M. A.

Πηγή: Ukrainian Mathematical Journal. 72:880-899

Θεματικοί όροι: bounded solutions, first order, rectangular matrices, system of linear inhomogeneous differential equations, Linear ordinary differential equations and systems, Growth and boundedness of solutions to ordinary differential equations, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7282464
https://doi.org/10.1007/s11253-020-01830-w

Limiting empirical spectral distribution for products of rectangular matrices

Συγγραφείς: Qi, Yongcheng ^⁎, Zhao, Hongru

Πηγή: In Journal of Mathematical Analysis and Applications 15 October 2021 502(2)

Projecting onto rectangular matrices with prescribed row and column sums

Συγγραφείς: Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang

Πηγή: Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2021, Iss 1, Pp 1-20 (2021)

Θεματικοί όροι: Generalized bistochastic matrices, Hilbert–Schmidt operators, Moore–Penrose inverse, Projection, Rectangular matrices, Transportation polytope, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433

Περιγραφή αρχείου: electronic resource

Relation: https://doaj.org/toc/2730-5422

Σύνδεσμος πρόσβασης: https://doaj.org/article/e0b23dfe02d3479e8fe21081d40f81c9

Iterative Methods for Solving Nonlinear Equations and Systems

Συγγραφείς: Soleymani, Fazlollah, Cordero, Alicia, Torregrosa, Juan R.

Θεματικοί όροι: QA1-939, Q1-390, Lipschitz condition, heston model, rectangular matrices, computational efficiency, Hull–White, order of convergence, signal and image processing, dynamics, divided difference operator, engineering applications, smooth and nonsmooth operators, Newton-HSS method, higher order method, Moore–Penrose, asymptotic error constant, multiple roots, higher order, efficiency index, multiple-root finder, computational efficiency index, Potra–Pták method, nonlinear equations, system of nonlinear equations, purely imaginary extraneous fixed point, attractor basin, point projection, fixed point theorem, convex constraints, weight function, radius of convergence, Frédholm integral equation, semi-local convergence, nonlinear HSS-like method, convexity, accretive operators, Newton-type methods, multipoint iterations, banach space, Kantorovich hypothesis, variational inequality problem, Newton method, semilocal convergence, least square problem, Fréchet derivative, Newton’s method, iterative process, Newton-like method, Banach space, sixteenth-order optimal convergence, nonlinear systems, Chebyshev–Halley-type, Jarratt method, iteration scheme, Newton’s iterative method, basins of attraction, drazin inverse, option pricing, higher order of convergence, non-linear equation, numerical experiment, signal processing, optimal methods, rate of convergence, n-dimensional Euclidean space, non-differentiable operator, projection method, Newton’s second order method, intersection, planar algebraic curve, Hilbert space, conjugate gradient method, sixteenth order convergence method, Padé approximation, optimal iterative methods, error bound, high order, Fredholm integral equation, global convergence, iterative method, integral equation, continuity condition, systems of nonlinear equations, generalized inverse, local convergence, iterative methods, multi-valued quasi-nonexpasive mappings, R-order, finite difference (FD), nonlinear operator equation, basin of attraction, PDE, King’s family, Steffensen’s method, nonlinear monotone equations, Picard-HSS method, nonlinear models, the improved curvature circle algorithm, split variational inclusion problem, computational order of convergence, with memory, multipoint iterative methods, Kung–Traub conjecture, multiple zeros, fourth order iterative methods, parametric curve, optimal order, nonlinear equation, Mathematics & science

Περιγραφή αρχείου: application/octet-stream

Σύνδεσμος πρόσβασης: https://directory.doabooks.org/handle/20.500.12854/50741
https://mdpi.com/books/pdfview/book/1877

Permuting sparse rectangular matrices into block-diagonal form

Συνεισφορές: Catalyurek, Umit

Πηγή: SIAM Journal on Scientific Computing; 25; 6; Other Information: Journal Publication Date: 2004; PBD: 9 Dec 2002

Περιγραφή αρχείου: Medium: ED; Size: vp.

Σύνδεσμος πρόσβασης: http://www.osti.gov/scitech/servlets/purl/826102

Application Of Rectangular Matrices: Affine Cipher Using Asymmetric Keys

Συγγραφείς: Maxrizal Maxrizal, Baiq Desy Aniska Prayanti

Πηγή: Cauchy: Jurnal Matematika Murni dan Aplikasi, Vol 5, Iss 4, Pp 181-185 (2019)

Θεματικοί όροι: 0502 economics and business, 05 social sciences, QA1-939, Mathematics, cryptography, symmetric key algorithms, asymmetric key algorithms, affine cipher using asymmetric keys, rectangular matrices

Σύνδεσμος πρόσβασης: http://ejournal.uin-malang.ac.id/index.php/Math/article/download/4408/pdf
https://doaj.org/article/09d17a71f5e249ecac34febf899948ee

Real Space Full Potential Multiple Scattering Theory

Συγγραφείς: Hatada, Keisuke^Aff4, Natoli, Calogero R.^Aff5

Συνεισφορές: Sébilleau, Didier, editor^Aff1, Hatada, Keisuke, editor^Aff2, Ebert, Hubert, editor^Aff3

Πηγή: Multiple Scattering Theory for Spectroscopies : A Guide to Multiple Scattering Computer Codes -- Dedicated to C. R. Natoli on the Occasion of his 75th Birthday. 204:67-91

Permuting sparse rectangular matrices into block-diagonal form

Συγγραφείς: Catalyurek, Umit V.

Πηγή: Society for Industrial and Applied Mathematics - Journal on Scientific Computing. 25(6)

Θεματικοί όροι: Coarse-grain parallelism sparse rectangular matrices singly-bordered block-diagonal form doubly-bordered block-diagonal form graph partitioning by vertex separator hypergraph partitioning.

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://escholarship.org/uc/item/8dr8095t
https://escholarship.org/content/qt8dr8095t/qt8dr8095t.pdf