Extended matrix variate hypergeometric function and its related functions

Authors: Bhammar, K. M.^{Aff1, IDs40574025005142_cor1}, Jana, R. K.^Aff1

Source: Bollettino dell'Unione Matematica Italiana. 19(3):681-694

Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field

Authors: Jason Elsinger, Ian Orzel, Aaron Welters

Source: Elsinger, J, Orzel, I & Welters, A 2026, ' Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field ', Linear Algebra and Its Applications, vol. 737, pp. 80-118 . https://doi.org/10.1016/j.laa.2026.02.014

Subject Terms: 15A54, 32A08, 15A22, 15B57, 15B33, 15A69, 93B18, 93B25, 12E30, 13A35, 93C35, 15B34, Characteristic 2, Linear pencil, Rings and Algebras, Rings and Algebras (math.RA), Optimization and Control (math.OC), Optimization and Control, Symmetric matrix, Bessmertnyi realization, FOS: Mathematics, Schur complement, Multivariate rational function

File Description: application/pdf

Access URL: http://arxiv.org/abs/2509.00553
https://curis.ku.dk/ws/files/536681599/Bessmertny_realization.pdf
https://researchprofiles.ku.dk/da/publications/014b16d6-aef1-4ea2-b655-4a7cc40ef961
https://doi.org/10.1016/j.laa.2026.02.014

Quaternion matrix function representation for color image recovery

Authors: Zou, Jinping^{Aff1, Aff2}, Ren, Huan^Aff3, Wang, Xiang^{Aff1, Aff2, IDs11075025022413_cor1}

Source: Numerical Algorithms. 103(1):591-619

A study on certain properties of generalized M-special matrix functions and its applications.

Authors: Khan, Nabiullah¹ (AUTHOR) nukhanmath@gmail.com, Sk, Rakibul¹ (AUTHOR) rakibulsk375@gmail.com

Source: Analysis (0174-4747). Aug2026, Vol. 46 Issue 3, p73-87. 15p.

Subject Terms: *Matrix functions, *Hypergeometric functions, *Derivatives (Mathematics), *Laplace transformation, *Fractional calculus, *Integrals

The Jordan canonical form of the Fréchet derivative of a matrix function and the bivariate Jordan problem.

Authors: Noferini, Vanni¹ (AUTHOR) vanni.noferini@aalto.fi

Source: Linear Algebra & its Applications. Oct2026, Vol. 747, p48-76. 29p.

Subject Terms: *Matrix functions, *Kronecker products, *Derivatives (Mathematics), *Interpolation, *Matrix decomposition

Matrix Szegő Function and Matrix Orthogonal Polynomials for Multiple Cuts

Authors: Lahiry, Sampad

Subject Terms: Classical Analysis and ODEs, 33C45, 34M50, 30E15, 41A60

Access URL: https://arxiv.org/abs/2608.11043

The equality case in ‖f(A)‖ ≤ f(‖A‖) for analytic matrix functions under strongly stable norms.

Authors: Zhang, Teng¹ (AUTHOR) teng.zhang@stu.xjtu.edu.cn

Source: Linear Algebra & its Applications. Dec2026, Vol. 750, p154-162. 9p.

Subject Terms: *Matrix functions, *Matrix norms, *Matrix inequalities, *Operator functions, *Mathematical equivalence, *Spectral theory

On the multiplicative properties of generalized matrix functions.

Authors: Rodtes, Kijti¹ (AUTHOR) kijtir@nu.ac.th

Source: Communications in Algebra. 2026, Vol. 54 Issue 5, p2198-2207. 10p.

Subject Terms: *Matrix functions, *Multiplication, *Positive operators, *Matrix inequalities, *Representations of groups (Algebra), *Symmetry groups

Normalisation of Wiener--Hopf Factorisation for Matrix Functions

Authors: Adukova, Nataliia, Adukov, Victor

Subject Terms: Complex Variables, 30E25, 47A68, 15A23

Access URL: https://arxiv.org/abs/2610.07957

(p, k) Matrix Mittag‐Leffler and Pochhammer Functions With Applications to Fractional Differential Systems.

Authors: Al–Sheikh, Mohamed S.¹ (AUTHOR) mohammedali.2459@azhar.edu.eg, Bakhet, Ahmed^1,2 (AUTHOR), Mahmoud, Ahmed Adly¹ (AUTHOR), Zahran, Ahmed M.¹ (AUTHOR), Cortés, J.-C. (AUTHOR) jccortes@imm.upv.es

Source: Abstract & Applied Analysis. 6/19/2026, Vol. 2026, p1-10. 10p.

Subject Terms: *Fractional differential equations, *Matrix functions

κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS.

Authors: QADHA, MUNEERA ABDULLAH^1,2 (AUTHOR) mqadha@yahoo.com, QADHA, SARAH ABDULLAH^1,2 (AUTHOR) sarah_qadha@csu.edu.cn, ABDELJAWAD, THABET^3,4,5 (AUTHOR) tabdeljawad@psu.edu.sa

Source: Fractals. 2026, Vol. 34 Issue 5, p1-16. 16p.

Subject Terms: *Matrix functions, *Fractional calculus, *Mellin transform, *Special functions, *Fractional differential equations, *Integral transforms

Quantum derivatives of matrix-valued functions with an application to q-kummer matrix function

Authors: Dwivedi, Ravi^Aff1, Sanjhira, Reshma^{Aff2, IDs11565026007737_cor1}, Hang, Peng-Cheng^Aff3, Luo, Min-Jie^Aff3

Source: ANNALI DELL'UNIVERSITA' DI FERRARA: SEZIONE VII - SCIENZE MATEMATICHE. 72(4)

Randomized block-Krylov subspace methods for low-rank approximation of matrix functions.

Authors: Persson, David¹ (AUTHOR) dpersson@flatironinstitute.org, Chen, Tyler² (AUTHOR) tyler.chen@nyu.edu, Musco, Christopher² (AUTHOR) cmusco@nyu.edu

Source: Linear Algebra & its Applications. Jul2026, Vol. 741, p32-65. 34p.

Subject Terms: *Matrix functions, *Krylov subspace, *Singular value decomposition, *Approximation theory, *Matrix multiplications, *Low-rank matrices, *Numerical solutions for linear algebra

Transfer-matrix functions for algebraically decaying interactions in variational infinite matrix product states

Authors: Yang, Qi

Subject Terms: Strongly Correlated Electrons, Quantum Physics

Access URL: https://arxiv.org/abs/2606.20522

Near Instance Optimality of the Lanczos Method for Stieltjes and Related Matrix Functions: Near instance optimality of the Lanczos method for Stieltjes and related matrix functions

Authors: Marcel Schweitzer

Source: SIAM Journal on Matrix Analysis and Applications. 46:1846-1865

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Lanczos method, 65F60, 65F50, 65Q25, Stieltjes functions, Krylov subspace methods, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), matrix functions

File Description: application/xml

Access URL: http://arxiv.org/abs/2503.04427

A dual-confirmation multivariate feature selection framework using partial lag correlation matrix function for multi-region electricity load forecasting

Authors: Ardilla, Yunita^{Aff1, Aff2}, Saikhu, Ahmad^{Aff1, IDs42162026006898_cor1}, Sutikno, Sutikno^Aff3

Source: Energy Informatics. 9(1)

Sketch-and-Restart: Randomized Sketching in Quadrature-Based Restarting for Matrix Functions

Authors: Güttel, Stefan, Liu, Jingyu, Nyman, Lauri

Subject Terms: Numerical Analysis

Access URL: https://arxiv.org/abs/2607.10354

On a class of functions of two non-commuting matrices: general properties, Fréchet derivatives and conditioning.

Authors: Cardoso, João R.¹ (AUTHOR) jocar@isec.pt, Arslan, Bahar² (AUTHOR), Sadeghi, Amir³ (AUTHOR)

Source: Linear & Multilinear Algebra. Mar2026, Vol. 74 Issue 5, p585-608. 24p.

Subject Terms: *Matrix functions, *Derivatives (Mathematics), *Numerical calculations, *Matrices (Mathematics), *Sensitivity analysis, *Numerical differentiation, *Series expansion (Mathematics)

Twice Epi-Differentiability of Orthogonally Invariant Matrix Functions and Application

Authors: He, Jiahuan^Aff1, Kan, Chao^Aff2, Song, Wen^{Aff2, IDs11228026008047_cor1}

Source: Set-Valued and Variational Analysis: Theory and Applications. 34(2)

A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions: A low-memory Lanczos method with rational Krylov compression for matrix functions

Authors: Angelo A. Casulli, Igor Simunec

Source: SIAM Journal on Scientific Computing. 47:A1358-A1382

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Computational methods for sparse matrices, matrix function, 65F60, 65F50, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), rational Krylov, low memory

File Description: application/xml

Access URL: http://arxiv.org/abs/2403.04390