Extending EP matrices by means of recent generalized inverses

Authors: D. E. Ferreyra, F‎. ‎E‎. Levis, Alberto Priori, Néstor Thome

Contributors: Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingeniería de Telecomunicación, Instituto Universitario de Matemática Multidisciplinar, Universidad Nacional de La Pampa, Ministerio de Ciencia e Innovación, Universidad Nacional de Río Cuarto, Universitat Politècnica de València, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina, Repositorio Institucional de la Universitat Politècnica de València Riunet

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Subject Terms: EP MATRIX, WG inverse, 15A09, 15A27, FOS: Mathematics, DMP INVERSE, Surface Integral Equations, Matrix Algorithms and Iterative Methods, Core EP inverse, Algebra over a field, Theoretical and Computational Physics, WG INVERSE, Pure mathematics, DMP inverse, Statistical and Nonlinear Physics, Mathematics - Rings and Algebras, Hierarchical Matrices, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Physics and Astronomy, Combinatorics, EP matrix, Computer Science, Physical Sciences, Electromagnetic Scattering with Integral Equations, Sparse Linear Systems, CORE EP INVERSE, Iterative Methods, Mathematics, Matrix Computations

File Description: application/pdf

Access URL: http://arxiv.org/abs/2401.09106
https://riunet.upv.es/handle/10251/219897
http://hdl.handle.net/11336/238773

A Solution Matrix by IEVP under the Central Principle Submatrix Constraints

Authors: Vineet Bhatt, Manpreet Kaur, I. Ahmed M. AL-Hammadi, Sunil Kumar

Source: Journal of Mathematics, Vol 2024 (2024)

Subject Terms: Convex Optimization, Matrix (chemical analysis), Social Sciences, 01 natural sciences, Decision Sciences, Interior-Point Methods, Eigenvalue Problems, QA1-939, FOS: Mathematics, 0101 mathematics, Matrix Algorithms and Iterative Methods, Numerical Analysis, Algebra over a field, Chromatography, Numerical Optimization Techniques, Pure mathematics, Applied mathematics, Chemistry, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Statistics, Probability and Uncertainty, Iterative Methods, Mathematics, Matrix Computations

Access URL: https://doaj.org/article/62771abb00f14a80b33cc746442f8c71

On the refinements of some important inequalities with a finite set of positive numbers

Authors: Bouharket Benaissa, Mehmet Zeki Sarıkaya

Contributors: Düzce University Institutional Repository

Source: Mathematical Methods in the Applied Sciences. 47:9589-9599

Subject Terms: Applied Mathematics, Young inequality, Pure mathematics, Set (abstract data type), Discrete mathematics, Matrix Inequalities and Geometric Means, 16. Peace & justice, Mathematical analysis, Computer science, 01 natural sciences, Orthogonal Polynomials, Programming language, Holder inequality, Computational Theory and Mathematics, Inequality, Physical Sciences, Computer Science, FOS: Mathematics, Finite set, 0101 mathematics, power-mean integral inequality, Mathematics, Matrix Algorithms and Iterative Methods

Access URL: https://hdl.handle.net/20.500.12684/14579
https://doi.org/10.1002/mma.10084

New efficient descent direction of a primal-dual path-following algorithm for linear programming

Authors: Billel Zaoui, Djamel Benterki, Samia Khelladi

Source: Statistics, Optimization & Information Computing. 12:1076-1090

Subject Terms: Real-time Optimization, Optimization, Artificial neural network, Artificial intelligence, Evolutionary biology, Epistemology, Engineering, Interior-Point Methods, Linear-fractional programming, Descent (aeronautics), Linear programming, Newton's method in optimization, FOS: Mathematics, Interior point method, Local convergence, Biology, Matrix Algorithms and Iterative Methods, Numerical Analysis, Global Optimization, Gradient descent, Numerical Optimization Techniques, Dual (grammatical number), 4. Education, Mathematical optimization, Path (computing), 16. Peace & justice, Computer science, Iterative method, Programming language, FOS: Philosophy, ethics and religion, Algorithm, Philosophy, Aerospace engineering, Model Predictive Control in Industrial Processes, Computational Theory and Mathematics, Control and Systems Engineering, Function (biology), Time complexity, Literature, Physical Sciences, Computer Science, Derivative-Free Optimization, Descent direction, Simple (philosophy), Mathematics, Art

A smoothing spline algorithm to interpolate and predict the eigenvalues of matrices extracted from the sequence of preconditioned banded symmetric Toeplitz matrices

Authors: Salima Kouser, Shafiq Ur Rehman, Mabkhoot Alsaiari, Fayyaz Ahmad, Mohammed Jalalah, Farid A. Harraz, Muhammad Akram

Source: AIMS Mathematics, Vol 9, Iss 6, Pp 15782-15795 (2024)

Subject Terms: preconditioned banded symmetric toeplitz matrices, Structural engineering, Toeplitz matrix, 01 natural sciences, Quantum mechanics, Preconditioning Techniques, Engineering, Spline (mechanical), Smoothing spline, QA1-939, FOS: Mathematics, Genetics, Spline interpolation, 0101 mathematics, Levinson recursion, Biology, Matrix Algorithms and Iterative Methods, Eigenvalues and eigenvectors, Numerical Analysis, Algebra over a field, Nonlinear Programming, Numerical Optimization Techniques, polynomial interpolation, Physics, Statistics, eigenvalues, Pure mathematics, Bilinear interpolation, Atomic and Molecular Physics, and Optics, smoothing spline algorithm, Algorithm, Tridiagonal matrix, Computational Theory and Mathematics, Physics and Astronomy, Combinatorics, FOS: Biological sciences, Computer Science, Physical Sciences, Electromagnetic Scattering with Integral Equations, Sparse Linear Systems, Mathematics, Matrix Computations, Mixed-Integer Nonlinear Programs, Smoothing, Sequence (biology)

Access URL: https://doaj.org/article/8214ee9272ff4a389570caf62c1ad73b

Solving delay integro-differential inclusions with applications

Authors: Maryam G. Alshehri, Hassen Aydi, Hasanen A. Hammad

Source: AIMS Mathematics, Vol 9, Iss 6, Pp 16313-16334 (2024)

Subject Terms: Variational Integrators, 01 natural sciences, Mathematical analysis, semilinear integro-differential inclusion, Numerical Integration Methods for Differential Equations, Differential Equations, mild solution, QA1-939, FOS: Mathematics, 0101 mathematics, 10. No inequality, Anomalous Diffusion Modeling and Analysis, Matrix Algorithms and Iterative Methods, Numerical Analysis, Differential inclusion, Physics, Applied mathematics, Computer science, Computational Theory and Mathematics, fixed point technique, Modeling and Simulation, Computer Science, Physical Sciences, Thermodynamics, Differential (mechanical device), Numerical Integration, Iterative Methods, partial integro-differential inclusion, Mathematics, Matrix Computations

Access URL: https://doaj.org/article/1e6ffb5cb88f4a80b634ef1a6947002b

Weighted spectral geometric means and matrix equations of positive definite matrices involving semi-tensor products

Authors: Arnon Ploymukda, Kanjanaporn Tansri, Pattrawut Chansangiam

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 11452-11467 (2024)

Subject Terms: positive definite matrix, Deformations and Structures of Hom-Lie Algebras, Tensor (intrinsic definition), semi-tensor product, Matrix (chemical analysis), Matrix Inequalities and Geometric Means, 01 natural sciences, Quantum mechanics, Positive-definite matrix, spectral geometric mean, QA1-939, FOS: Mathematics, 0101 mathematics, Matrix Algorithms and Iterative Methods, Eigenvalues and eigenvectors, Chromatography, Algebra and Number Theory, Geometric Means, Applied Mathematics, Physics, 4. Education, Pure mathematics, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, metric geometric mean, Mathematics

Access URL: https://doaj.org/article/c93bba488f184ebcb25db788ed3e62ea

Solvability and algorithm for Sylvester-type quaternion matrix equations with potential applications

Authors: Abdur Rehman, Ivan Kyrchei, Muhammad Zia Ur Rahman, Víctor Leiva, Cecília Castro

Source: AIMS Mathematics, Vol 9, Iss 8, Pp 19967-19996 (2024)

Subject Terms: Composite material, Matrix (chemical analysis), Sylvester's law of inertia, Symmetric matrix, Geometry, sylvester equations, Quaternionic Analysis, Mathematical analysis, Quantum mechanics, Polynomial, 01 natural sciences, Eigenvalue Problems, QA1-939, FOS: Mathematics, 0101 mathematics, Biology, maple software, Matrix Algorithms and Iterative Methods, Foundations of Geometric Mathematics, Eigenvalues and eigenvectors, Algebra over a field, generalized inverses, Ecology, Applied Mathematics, Physics, Sylvester matrix, Pure mathematics, Applied mathematics, 16. Peace & justice, Computer science, Quaternionic Analysis and Applications, Materials science, Quaternion, Algorithm, quaternion matrices, Sylvester equation, Matrix polynomial, Computational Theory and Mathematics, FOS: Biological sciences, Computer Science, Physical Sciences, solvability conditions, Geometry and Topology, Polynomial matrix, Iterative Methods, Trigonometry, Type (biology), Mathematics, Matrix Computations

Access URL: https://doaj.org/article/adf336dde2da4454bf5a7eaa2cc9d8ca

Separated boundary value problems via quantum Hilfer and Caputo operators

Authors: Idris Ahmed, Sotiris K. Ntouyas, Jessada Tariboon

Source: AIMS Mathematics, Vol 9, Iss 7, Pp 19473-19494 (2024)

Subject Terms: Numerical Solution, Integro-Differential Equations, hilfer fractional derivative, 01 natural sciences, Mathematical analysis, Quantum mechanics, Quantum, Value (mathematics), Numerical Methods for Singularly Perturbed Problems, Eigenvalue Problems, QA1-939, FOS: Mathematics, 0101 mathematics, Boundary value problem, Matrix Algorithms and Iterative Methods, Numerical Analysis, separated boundary condition, Applied Mathematics, Physics, Statistics, existence, Partial Differential Equations, caputo derivative, Applied mathematics, 16. Peace & justice, fixed point theorems, Nonlocal Partial Differential Equations and Boundary Value Problems, Boundary Value Problems, Computational Theory and Mathematics, Physical Sciences, Computer Science, Mathematics

Access URL: https://doaj.org/article/6bc1acfc4f6b4bd48a1b005d3abcb61d

Divide and Conquer Methods for Solving Linear Systems

Authors: Youssouf Mezzar, Kacem Belghaba

Source: Communications in Mathematics and Applications. 14:707-719

Subject Terms: LU decomposition, Geometry, Divide and conquer algorithms, Quantum mechanics, Gene, Biochemistry, Matrix decomposition, FOS: Mathematics, Complement (music), Biology, Matrix Algorithms and Iterative Methods, Eigenvalues and eigenvectors, Decomposition, Algebra over a field, Complementation, Ecology, Physics, 4. Education, Mathematical optimization, Pure mathematics, Algorithm, Chemistry, Phenotype, Computational Theory and Mathematics, Combinatorics, FOS: Biological sciences, Computer Science, Physical Sciences, Schur complement, Sparse Linear Systems, Inverse, Iterative Methods, Cholesky decomposition, Mathematics

An Enhancement of the Accuracy of the BiCGStab Method for Solving Linear Systems with Single or Multiple Right-Hand Sides

Authors: F. Bouyghf

Source: Computational and Mathematical Methods, Vol 2023 (2023)

Subject Terms: Artificial neural network, Artificial intelligence, Convex Optimization, Economics, Generalized minimal residual method, Geometry, Conjugate residual method, 01 natural sciences, Mathematical analysis, Biconjugate gradient stabilized method, Convergence Analysis of Iterative Methods for Nonlinear Equations, Linear system, QA1-939, FOS: Mathematics, 0101 mathematics, Economic growth, Matrix Algorithms and Iterative Methods, T57-57.97, Numerical Analysis, Applied mathematics. Quantitative methods, Gradient descent, Numerical Optimization Techniques, Biconjugate gradient method, Applied mathematics, Computer science, Iterative method, Algorithm, Computational Theory and Mathematics, Residual, Computer Science, Physical Sciences, Convergence (economics), Mathematics, Block (permutation group theory)

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Access URL: https://doaj.org/article/19d92afa456c4801aa53683fd2880d46

Compact formula for skew-symmetric system of matrix equations

Authors: Abdur Rehman, Ivan Kyrchei

Source: Arabian Journal of Mathematics. 12:587-600

Subject Terms: Composite material, Convex Optimization, Matrix (chemical analysis), Moore–Penrose pseudoinverse, Geometry, Symbolic Computing in Algebraic Geometry and Cryptography, Skew, Hermitian matrix, 01 natural sciences, Field (mathematics), FOS: Mathematics, 0101 mathematics, Matrix Algorithms and Iterative Methods, Numerical Analysis, Algebra over a field, Chromatography, Numerical Optimization Techniques, 4. Education, Complex matrix, Pure mathematics, Applied mathematics, 16. Peace & justice, Computer science, Materials science, Algorithm, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Telecommunications, Inverse, Mathematics, Matrix Computations

A inversa generalizada de uma matriz e a sua obtenção através de algoritmos

Authors: José Norberto Reinprecht, Marta Cilene Gadotti

Source: CQD Revista Eletrônica Paulista de Matemática, Vol 23, Iss 1 (2023)

Subject Terms: Optical Code Division Multiple Access, Humanities, Engineering, 0502 economics and business, QA1-939, FOS: Electrical engineering, electronic engineering, information engineering, Electrical and Electronic Engineering, Pseudoinversa, Matrix Algorithms and Iterative Methods, Inversa Generalizada, Physics, 05 social sciences, Inversa de MoorePenrose, Color Constancy and Colorimetry, Algoritmos, FOS: Humanities, Atomic and Molecular Physics, and Optics, 0506 political science, FOS: Philosophy, ethics and religion, Philosophy, Physics and Astronomy, Computational Theory and Mathematics, Physical Sciences, Computer Science, Mathematics, Matrix Computations

Access URL: https://doaj.org/article/54b22cfb14224c8c9f5f81211f72345f

Inexact free derivative quasi-Newton method for large-scale nonlinear system of equations

Authors: Carlos A. Arias-Barrera, Claudia Juliana Díaz Gómez

Source: Numerical Algorithms. 94:1103-1123

Subject Terms: Financial economics, Scale (ratio), Economics, FOS: Mechanical engineering, Mathematical analysis, Quantum mechanics, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Computer security, FOS: Mathematics, Work (physics), 0101 mathematics, Local convergence, Key (lock), Nonlinear Equations, Economic growth, Matrix Algorithms and Iterative Methods, Theory of computation, Numerical Analysis, Nonlinear Programming, Numerical Optimization Techniques, Physics, Mathematical optimization, Derivative-Free Methods, Rate of convergence, Applied mathematics, Computer science, Iterative method, Mechanical engineering, Algorithm, Newton's method, Computational Theory and Mathematics, Derivative (finance), Physical Sciences, Computer Science, Derivative-Free Optimization, Convergence (economics), Nonlinear system, Mathematics, Mixed-Integer Nonlinear Programs, Numerical analysis

Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

Authors: Mohamed Niyaz, Ahmed H. Soliman, Ahmed Bakhet

Source: Abstract and Applied Analysis, Vol 2023 (2023)

Subject Terms: Composite material, Barnes integral, Matrix function, Confluent hypergeometric function, Matrix (chemical analysis), Symmetric matrix, 01 natural sciences, Quantum mechanics, Orthogonal Polynomials, QA1-939, FOS: Mathematics, Hypergeometric identity, Hypergeometric function, 0101 mathematics, Matrix Algorithms and Iterative Methods, Bilateral hypergeometric series, Eigenvalues and eigenvectors, Algebra over a field, Applied Mathematics, Physics, Pure mathematics, Wright, Generalized hypergeometric function, Basic hypergeometric series, Applied mathematics, Computer science, Atomic and Molecular Physics, and Optics, Materials science, Programming language, Parity-Time Symmetry in Optics and Quantum Mechanics, Computational Theory and Mathematics, Physics and Astronomy, Physical Sciences, Computer Science, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions

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Access URL: https://doaj.org/article/ab8cb2fbd3364e648dde6b3013aa51b4

A Primal-Dual Interior-Point Algorithm Based on a Kernel Function with a New Barrier Term

Authors: Safa Guerdouh, Wided Chikouche, İmene Touil

Source: Statistics, Optimization & Information Computing. 11:773-784

Subject Terms: Economics, Symbolic Computing in Algebraic Geometry and Cryptography, Evolutionary biology, Mathematical analysis, Quantum mechanics, Term (time), Upper and lower bounds, Interior-Point Methods, Eigenvalue Problems, FOS: Mathematics, Interior point method, Biology, Economic growth, Matrix Algorithms and Iterative Methods, Numerical Analysis, Numerical Optimization Techniques, Physics, 4. Education, Exponential function, Discrete mathematics, 16. Peace & justice, Algorithm, Computational Theory and Mathematics, Combinatorics, Function (biology), Physical Sciences, Computer Science, Derivative-Free Optimization, Convergence (economics), Kernel (algebra), Iterative Methods, Mathematics, Matrix Computations

Practical Stability for Conformable Time-Delay Systems

Authors: Maher Kharrat, Hamdi Gassara, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf

Source: Discrete Dynamics in Nature and Society, Vol 2023 (2023)

Subject Terms: Composite material, MATLAB, Artificial intelligence, Class (philosophy), Matrix (chemical analysis), Control (management), Conformable matrix, 02 engineering and technology, Exponential stability, Mathematical analysis, Quantum mechanics, 01 natural sciences, Engineering, Machine learning, QA1-939, Control theory (sociology), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Stability (learning theory), Matrix Algorithms and Iterative Methods, Physics, Exponential function, Mathematical optimization, Linear matrix inequality, Applied mathematics, System Identification Techniques, Computer science, Materials science, Programming language, Operating system, Stability Analysis, Computational Theory and Mathematics, Control and Systems Engineering, Computer Science, Physical Sciences, Nonlinear system, Time-Delay Systems, Toolbox, Networked Control Systems, Mathematics

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Access URL: https://doaj.org/article/f04a3c9441c544bc8cfa991626676fcb

Further norm inequalities for positive semidefinte matrices

Authors: Fuad Kittaneh, Jagjit Matharu

Source: Journal of Applied Mathematics and Computing. 70:3281-3289

Subject Terms: FOS: Political science, Norm (philosophy), FOS: Law, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, Positive-definite matrix, FOS: Mathematics, Political science, Matrix Algorithms and Iterative Methods, Eigenvalues and eigenvectors, Numerical Analysis, Numerical Optimization Techniques, Semidefinite Programming, Applied Mathematics, Physics, Pure mathematics, Invariant (physics), Computational Theory and Mathematics, Inequality, Combinatorics, Mathematical physics, Physical Sciences, Computer Science, Hermite-Hadamard Inequalities, Law, Mathematics

Making Decisions about How to Solve Nonlinear Dynamical Systems of the Kannan Type in a New Complex Function Space of Formal Power Series

Authors: Meshayil M. Alsolmi, Arafa O. Mustafa, Mustafa M. Mohammed, Awad A. Bakery

Source: Journal of Mathematics, Vol 2023 (2023)

Subject Terms: FOS: Political science, FOS: Law, Mathematical analysis, Quantum mechanics, 01 natural sciences, QA1-939, FOS: Mathematics, Series (stratigraphy), Structured Preconditioners, Formal power series, 0101 mathematics, Ideal (ethics), Political science, Internal medicine, Biology, Matrix Algorithms and Iterative Methods, Algebra over a field, Ecology, Physics, Pure mathematics, Paleontology, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Power series, Fixed point, Discrete mathematics, Physics and Astronomy, Computational Theory and Mathematics, Rank (graph theory), Combinatorics, FOS: Biological sciences, Physical Sciences, Computer Science, Nonlinear system, Contraction (grammar), Medicine, Type (biology), Law, Mathematics, Rogue Waves in Nonlinear Systems

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Access URL: https://doaj.org/article/963105c0a597479a9e3a8e9fc7f7e08f

An elementary approach to the homological properties of constant-rank operators

Authors: Arroyo-Rabasa Adolfo, Simental Jose Eduardo

Contributors: UCL - SST/IRMP - Institut de recherche en mathématique et physique

Source: Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 45-63 (2023)
Comptes rendus de l'Académie des sciences-Series I-Mathematics, Vol. 361, no. np, p. 45-63 (2023)
Comptes Rendus Mathématique

Subject Terms: Classification and Properties of C*-Algebras, Biochemistry, Gene, 01 natural sciences, Syzygies, Homological Dimensions, annihilator, Mathematical Physics, Annihilator, constant rank, Ecology, Discrete mathematics, Programming language, FOS: Philosophy, ethics and religion, Lemma (botany), Elliptic operator, Chemistry, 58J10, 35E20, 47F10, 13D02, Computational Theory and Mathematics, Rank (graph theory), generalized Poincar´e lemma, Physical Sciences, Analysis of PDEs (math.AP), Cluster Algebras and Triangulated Categories, Epistemology, differential complex, Operator (biology), Poaceae, Mathematical analysis, Mathematics - Analysis of PDEs, QA1-939, FOS: Mathematics, 0101 mathematics, resolutions, Biology, Matrix Algorithms and Iterative Methods, Algebra over a field, Pure mathematics, homology, generalized Poincaré lemma, Computer science, Constructive, Process (computing), Operating system, Philosophy, Constant coefficients, Combinatorics, FOS: Biological sciences, Computer Science, Simple (philosophy), Repressor, Geometry and Topology, Transcription factor, Mathematics, Constant (computer programming)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2107.05098
https://doaj.org/article/410a1477b95e42e986a06feec1fb2235
https://hdl.handle.net/2078.1/271316
http://hdl.handle.net/21.11116/0000-000D-3531-0
http://hdl.handle.net/21.11116/0000-000C-C740-B
http://hdl.handle.net/21.11116/0000-000C-C73E-F