Search Results - "Theory of matrix inversion and generalized inverses"

The C-N-star, s-star and c-minus partial orders: The C-N-star, s-star and C-minus partial orders

Authors: Ling, Qiuli Hua, Xue Wang, Hongxing et al.

Source: Journal of Mathematical Inequalities. :177-194

Subject Terms: C-N-star partial order, core-nilpotent decomposition, Partial orders, general, Miscellaneous inequalities involving matrices, Matrix equations and identities, core-EP decomposition, Theory of matrix inversion and generalized inverses, C-minus partial order, s-star partial order

File Description: application/xml

Access URL: https://zbmath.org/8032780
https://doi.org/10.7153/jmi-2025-19-12

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

Authors: Dijana Mosić Predrag S. Stanimirović Lev A. Kazakovtsev

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

Subject Terms: 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

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On linear algebra of r-Hankel and r-Toeplitz matrices with geometric sequence: On linear algebra of \(r\)-Hankel and \(r\)-Toeplitz matrices with geometric sequence

Authors: Baijuan Shi Can Kızılateş

Source: Journal of Applied Mathematics and Computing. 70:4563-4579

Subject Terms: 0101 mathematics, Toeplitz, Cauchy, and related matrices, geometric sequence, matrix norms, 01 natural sciences, \(r\)-Toeplitz matrix, Theory of matrix inversion and generalized inverses, Determinants, permanents, traces, other special matrix functions, \(r\)-Hankel matrix, inverse matrix, Matrices, determinants in number theory

File Description: application/xml

Access URL: https://zbmath.org/8035073
https://doi.org/10.1007/s12190-024-02151-y
https://hdl.handle.net/20.500.12628/28794

Researches on Drazin inverse of operators in Banach space

Authors: Yu Jin Daochang Zhang Chaochao Sun

Source: Computational and Applied Mathematics. 44

Subject Terms: Matrix and operator functional equations, Numerical solutions to overdetermined systems, pseudoinverses, Banach space, partitioned operator matrix, anti-triangular matrix, Theory of matrix inversion and generalized inverses, Drazin inverse

File Description: application/xml

Using digraphs to compute determinant, permanent, and Drazin inverse of circulant matrices with two parameters

Authors: Encinas Bachiller, Andrés Marcos Jaume, Daniel Alejandro Panelo, Cristian Rafael et al.

Source: Revista de la Unión Matemática Argentina. :81-106

Subject Terms: 0209 industrial biotechnology, Graphs and linear algebra (matrices, eigenvalues, etc.), Determinant, Determinants, permanents, traces, other special matrix functions, 02 engineering and technology, determinant, 01 natural sciences, permanent, directed weighted cycles, General Mathematics (math.GM), FOS: Mathematics, Permanent, Theory of matrix inversion and generalized inverses, Drazin inverse, 0101 mathematics, Circulant matrices, Paths and cycles, Mathematics - General Mathematics, circulant matrices

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2008.04769
https://zbmath.org/7898777
https://doi.org/10.33044/revuma.2815
http://hdl.handle.net/11336/242857

Similarity relations and exponential of dual-generalized complex matrices

Authors: Gurses, Nurten Senturk, Gulsum Yeliz

Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 3, Pp 145-165 (2023)

Subject Terms: Eigenvalues, singular values, and eigenvectors, Matrices over special rings (quaternions, finite fields, etc.), Matrix exponential, Dual-generalized complex matrices, Similarity, matrix exponential, secondary 15a18, 15a09, eigenvalues and eigenvectors, dual-generalized complex matrices, fundamental matrix, QA1-939, Theory of matrix inversion and generalized inverses, primary 15b33, similarity, Fundamental matrix, Mathematics, Eigenvalues and eigenvectors

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Access URL: https://zbmath.org/8036497
https://doi.org/10.2478/auom-2023-0036
https://doaj.org/article/ff56287b16384ae5971e63152165f4da
https://avesis.yildiz.edu.tr/publication/details/d706cc45-26ae-4766-868b-304f66b0e784/oai
https://avesis.yildiz.edu.tr/publication/details/9876327e-22bb-4acc-9148-488db5c12428/oai

SOLUTIONS OF THE YANG-BAXTER-LIKE MATRIX EQUATION FOR THE MATRIX WITH NONSINGULAR JORDAN BLOCKS: Solutions of the Yang-Baxter-like matrix equation for the matrix with nonsingular Jordan blocks

Authors: Chen, Saijie Li, Xiaoli Zhu, Lanping et al.

Source: Journal of Applied Analysis & Computation. 13:986-999

Subject Terms: non-commuting solution, group inverse, Matrix equations and identities, Theory of matrix inversion and generalized inverses, Yang-Baxter-like matrix equation, Jordan block

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Access URL: https://zbmath.org/7920357
https://doi.org/10.11948/20220267

Inversion of block Toeplitz and Hankel matrices

Authors: Katai, I. Rahmy, E.

Source: Publicationes Mathematicae Debrecen. 26:139-147

Subject Terms: block Toeplitz and Hankel matrices, band matrices, inverse of a Hermitian Toeplitz matrix, recursion formulas, Hermitian, skew-Hermitian, and related matrices, Theory of matrix inversion and generalized inverses, band matrix, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, Trench's algorithm, 01 natural sciences

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Access URL: https://zbmath.org/3692517

Left and right hybrid (b,c)-core inverses in semigroups with involution: Left and right hybrid \((b,c)\)-core inverses in semigroups with involution

Authors: Huihui Zhu Chenxiang Hong Dijana Mosić

Source: Journal of Algebra and Its Applications. 24

Subject Terms: \((b, c)\)-core inverses, \(w\)-core inverses, Rings with involution, Lie, Jordan and other nonassociative structures, dual \((b, c)\)-core inverses, right hybrid \((b, c)\)-inverses, Theory of matrix inversion and generalized inverses, 0102 computer and information sciences, 0101 mathematics, General structure theory for semigroups, 01 natural sciences, left hybrid \((b, c)\)-inverses

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Solving minimization problems by weighted weak group inverse

Authors: Mosić, Dijana Stanimirović, P. S. Kazakovtsev, L. A.

Source: Applied and Computational Mathematics.

Subject Terms: Applications of generalized inverses, Schur decomposition, \(W\)-weighted weak group inverse, weak group inverse, Theory of matrix inversion and generalized inverses, core-EP inverse, Linear optimal control problems, constrained matrix minimization problem

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Access URL: https://zbmath.org/8000926
https://doi.org/10.30546/1683-6154.23.2.2024.228

Determinants and inverses of weighted Loeplitz and weighted Foeplitz matrices and their applications in data encryption

Authors: Meng, Qingyan Zheng, Yanpeng Jiang, Zhaolin

Source: Journal of Applied Mathematics and Computing. 68:3999-4015

Subject Terms: Toeplitz, Cauchy, and related matrices, inverse, Determinants, permanents, traces, other special matrix functions, weighted Foeplitz matrix, Fibonacci numbers, Matrices, determinants in number theory, Direct numerical methods for linear systems and matrix inversion, determinant, Lucas numbers, 01 natural sciences, Numerical computation of determinants, weighted Loeplitz matrix, Theory of matrix inversion and generalized inverses, 0101 mathematics, data and image encryption

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Access URL: https://zbmath.org/7632335
https://doi.org/10.1007/s12190-022-01700-7

Application of m-weak group inverse in solving optimization problems: Application of \(m\)-weak group inverse in solving optimization problems

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

Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 118

Subject Terms: constrained matrix optimization problem, Matrix equations and identities, Theory of matrix inversion and generalized inverses, Drazin inverse, core-EP inverse, Factorization of matrices, Conditioning of matrices

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Access URL: https://zbmath.org/7762420
https://doi.org/10.1007/s13398-023-01512-9

Further characterizations of the weak group inverse of matrices and the weak group matrix

Authors: Hongxing Wang Kezheng Zuo Yang Chen et al.

Source: AIMS Mathematics, Vol 6, Iss 9, Pp 9322-9341 (2021)

Subject Terms: Vector spaces, linear dependence, rank, lineability, null space, Matrix equations and identities, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), weak group inverse, 01 natural sciences, weak group matrix, rang space, core-ep decomposition, QA1-939, core-EP decomposition, Theory of matrix inversion and generalized inverses, 0101 mathematics, Mathematics

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Access URL: https://zbmath.org/7536278
https://doi.org/10.3934/math.2021542
https://doaj.org/article/2569758702324242b5e873bd8b9f3370
https://www.aimspress.com/article/doi/10.3934/math.2021542

INTERESTING DETERMINANTS AND INVERSES OF SKEW LOEPLITZ AND FOEPLITZ MATRICES: Interesting determinants and inverses of skew Loeplitz and Foeplitz matrices

Authors: Qingyan Meng Xiaoyu Jiang Zhaolin Jiang

Source: Journal of Applied Analysis & Computation. 11:2947-2958

Subject Terms: Computational methods for sparse matrices, inverse, skew Foeplitz matrix, Lucas number, Fibonacci number, Theory of matrix inversion and generalized inverses, Determinants, permanents, traces, other special matrix functions, determinant, skew Loeplitz matrix

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Access URL: http://www.jaac-online.com/article/doi/10.11948/20210070

Drazin inverse of singular adjacency matrices of directed weighted cycles

Authors: Andrés Marcos Encinas Bachiller Adrián Pastine Daniel A. Jaume et al.

Contributors: Andrés Marcos Encinas Bachiller Adrián Pastine Daniel A. Jaume et al.

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: circulant matrix, Àrees temàtiques de la UPC::Matemàtiques i estadística, Classificació AMS::15 Linear and multilinear algebra, matrix theory, Directed weighted cycles, Toeplitz, Cauchy, and related matrices, Graphs and linear algebra (matrices, eigenvalues, etc.), 15 Linear and multilinear algebra [Classificació AMS], Circulant matrix, Matemàtiques i estadística [Àrees temàtiques de la UPC], Matrius (Matemàtica), 01 natural sciences, directed weighted cycles, Matrices, Theory of matrix inversion and generalized inverses, Drazin inverse, 0101 mathematics

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Access URL: http://inmabb.criba.edu.ar/revuma/pdf/v61n2/v61n2a02.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=7806491
https://upcommons.upc.edu/bitstream/2117/336721/1/v61n2a02.pdf
https://upcommons.upc.edu/handle/2117/336721

Matrix derivatives and Kronecker products for the core and generalized core inverses

Authors: Shuangzhe Liu Hongxing Wang Yonghui Liu et al.

Source: Journal of Mathematical Analysis and Applications. 535:128128

Subject Terms: matrix differential calculus, Kronecker product, Theory of matrix inversion and generalized inverses, Drazin inverse, generalized core inverse, Moore-Penrose inverse

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Access URL: https://zbmath.org/7814091
https://doi.org/10.1016/j.jmaa.2024.128128

New Representations and Properties of the m-Weak Group Inverse: New representations and properties of the \(m\)-weak group inverse

Authors: Dijana Mosić Daochang Zhang

Source: Results in Mathematics. 78

Subject Terms: generalized group inverse, Matrix equations and identities, \(m\)-weak group inverse, weak group inverse, Theory of matrix inversion and generalized inverses, core-EP inverse

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On the exact solution of a class of homogeneous strongly coupled mixed parabolic problems

Authors: Defez Candel, Emilio Soler Basauri, Vicente Romero Vivó, Sergio et al.

Contributors: Defez Candel, Emilio Soler Basauri, Vicente Romero Vivó, Sergio et al.

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

Subject Terms: projections, Existence theories for optimal control problems involving partial differential equations, 01 natural sciences, Coupled diffusion problems, vector boundary-value differential systems, Vector boundary-value differential systems, Theory of matrix inversion and generalized inverses, Coupled boundary conditions, 0101 mathematics, MATEMATICA APLICADA, coupled boundary conditions, Sturm-Liouville vector problems, coupled diffusion problems, Projections

File Description: application/pdf; application/xml

Access URL: http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801903897D
https://riunet.upv.es/handle/10251/156419
https://hdl.handle.net/10251/156419
https://doi.org/10.2298/fil1903897d

An extension of the MPD and MP weak group inverses

Authors: Dijana Mosić Daochang Zhang Predrag S. Stanimirović

Source: Applied Mathematics and Computation. 465:128429

Subject Terms: MPD inverse, Matrix equations and identities, Theory of matrix inversion and generalized inverses, Moore-Penrose inverse, MP weak group inverse

File Description: application/xml

General strong fuzzy solutions of complex fuzzy matrix equations involving the Moore-Penrose weak group inverse

Authors: Wu, Jinzhao Jiang, Hongjie He, Mengyu et al.

Source: Information Sciences. 654:119832

Subject Terms: Fuzzy matrices, block structure, Matrix equations and identities, general strong fuzzy solution, Theory of matrix inversion and generalized inverses, MPWG inverse, complex fuzzy matrix equation

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Access URL: https://zbmath.org/7803354
https://doi.org/10.1016/j.ins.2023.119832