The Polynomial Set Associated with a Fixed Number of Matrix-Matrix Multiplications

Authors: Jarlebring, Elias, 1978-, Author, Lorentzon, Gustaf, 1997-, Author

Contributors: Jarlebring, Elias, 1978-, Author, Lorentzon, Gustaf, 1997-, Author

Source: SIAM Journal on Applied Algebra and Geometry. 10(3):549-581

Subject Terms: matrix polynomials, numerical linear algebra, polynomial evaluation

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-387773
https://doi.org/10.1137/25M1779036

Even grade generic skew-symmetric matrix polynomials with bounded rank

Authors: De Teran, Fernando, Author, Dmytryshyn, Andrii, 1986-, Author, Dopico, Froilan M., Author

Contributors: De Teran, Fernando, Author, Dmytryshyn, Andrii, 1986-, Author, Dopico, Froilan M., Author

Source: Linear Algebra and its Applications. 702:218-239

Subject Terms: Complete eigenstructure, Genericity, Matrix polynomials, Skew-symmetry, Normal rank, Orbits, Pencils

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-116495
https://doi.org/10.1016/j.laa.2024.07.024

Parallels between quaternionic and matrix Nullstellensätze

Authors: Jakob Cimprič

Source: Journal of algebra, str. 92-108, Vol. 682, Nov. 2025
COBISS-ID: 1310986

Subject Terms: Hilbert's Nullstellensatz, matrix polynomials, quaternionic polynomials, one-sided ideals, free modules, Hilbert's Nullstellensatz, Rings and Algebras, Noetherian rings and modules (associative rings and algebras), free modules, quaternionic polynomials, 16D25, 16D40, 16S50, 14A22, Projective and free modules and ideals in commutative rings, one-sided ideals, Ordinary and skew polynomial rings and semigroup rings, Rings and Algebras (math.RA), FOS: Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), matrix polynomials

File Description: application/xml

Access URL: http://arxiv.org/abs/2409.17850
https://plus.cobiss.net/cobiss/si/en/bib/240581635
https://www.sciencedirect.com/science/article/pii/S0021869325003278

General christoffel perturbations for multiple orthogonal polynomials of the mixed type on the step-line

Authors: Mañas, Manuel^{Aff1, IDs11075025022306_cor1}, Rojas, Miguel^Aff1

Source: Numerical Algorithms. 102(3):1829-1868

Implication of Ramanujan master theorem to the convolution of bessel and tricomi functions with hermite matrix polynomials

Authors: Zainab, Umme^{Aff1, Aff2, IDs1322602600976w_cor1}, Raza, Nusrat^Aff3

Source: Indian Journal of Pure and Applied Mathematics: Published by the Indian National Science Academy. :1-17

Some new forms and properties of Legendre matrix polynomials with two variables

Authors: Khammash Ghazi S., Kamarujjama M., Nadarajah Saralees, Al-Zhour Zeyad

Source: Demonstratio Mathematica, Vol 59, Iss 1, Pp 269-288 (2026)

Subject Terms: differential matrix recurrence relation, generating matrix function, hermite matrix polynomials of two variables, hypergeometric matrix function, legendre matrix partial differential equation, 15a60, 33c45, 33e20, 33c60, 33c25, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2391-4661

Access URL: https://doaj.org/article/372508255ab74747a1d86a887d5d1f73

New Generating Functions for Chebyshev, Gegenbauer, and Jacobi Matrix Polynomials

Authors: Defez, Emilio^Aff1, Tung, Michael M.^{Aff1, IDs0000902603119x_cor1}

Source: Mediterranean Journal of Mathematics. 23(3)

Enhanced Control of Nonlinear Cyber-Physical Systems: A Higher-Order Relaxation Matrix-Based Convex Optimization Algorithm

Authors: Gao, J., Xie, X., Xia, J., Stojanovic, V.

Source: IEEE Transactions on Automation Science and Engineering IEEE Trans. Automat. Sci. Eng. Automation Science and Engineering, IEEE Transactions on. 22:17863-17874 2025

On generating relations for Jacobi matrix polynomials in two variables

Authors: Gajera, S. B.^Aff1, Jana, R. K.^Aff1, Shukla, A. K.^{Aff1, IDs4442602600072w_cor1}

Source: Acta Universitatis Sapientiae, Mathematica. 18(1)

Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method

Authors: Shehata, Ayman^{Aff1, IDs13370026014457_cor1}

Source: Afrika Matematika. 37(2)

Umbral study of Mittag-Leffler-Laguerre matrix polynomials

Authors: Zainab, Umme^{Aff1, Aff2, IDs12215025013243_cor1}, Quintana, Yamilet^{Aff3, Aff4, IDs12215025013243_cor2}

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 75(1)

Polyphase Matrices

Authors: Schuller, Gerald^Aff2

Contributors: Schuller, Gerald^Aff1

Source: Multirate Signal Processing with Examples in Python. :83-88

An inverse eigenvalue problem for the affinely structured matrix polynomials

Authors: Cai, Jianjun, Yuan, Yongxin ^⁎

Source: In Journal of Computational and Applied Mathematics November 2026 486

The Nevanlinna matrix of the truncated Hausdorff matrix moment problem via orthogonal matrix polynomials on [a,b] for the case of an even number of moments

Authors: Б. Е. Медіна-Ернандес

Source: Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 102, Pp 5-29 (2025)

Subject Terms: truncated hausdorff matrix moment problem, nevanlinna matrix, orthogonal matrix polynomials, Mathematics, QA1-939

File Description: electronic resource

Relation: https://periodicals.karazin.ua/mech_math/article/view/27654; https://doaj.org/toc/2221-5646; https://doaj.org/toc/2523-4641

Access URL: https://doaj.org/article/42779dafd2244032ad895b9d87976d1c

Spectral bounds for certain special type of rational matrices

Authors: Basavaraju, Pallavi^Aff1, Hadimani, Shrinath^Aff2, Jayaraman, Sachindranath^{Aff3, IDs4147802500983w_cor1}

Source: The Journal of Analysis. :1-18

Geometry of Matrix Polynomial Spaces

Authors: Dmytryshyn, Andrii, 1986-, Author, Johansson, Stefan, Author, Kågström, Bo, Author, Van Dooren, Paul, Author

Contributors: Dmytryshyn, Andrii, 1986-, Author, Johansson, Stefan, Author, Kågström, Bo, Author, Van Dooren, Paul, Author

Source: VR E0485301 eSSENCE eSSENCE – An eScience Collaboration Foundations of Computational Mathematics. 20(3):423-450

Subject Terms: Matrix polynomials, Stratifications Matrix pencils, Fiedler linearization, Canonical structure information, Orbit, Bundle

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-74859
https://doi.org/10.1007/s10208-019-09423-1

Matrix Fejér-Riesz type theorem for a union of an interval and a point

Authors: Sun, Shengding ^{a, 1}, Zalar, Aljaž ^{b, ⁎, 2}

Source: In Journal of Pure and Applied Algebra February 2026 230(2)

Feedback Linearization and Eigenstructure Assignment Control for Quadcopter Trajectory Tracking

Authors: Hocine LOUBAR, Razika ZAMOUM BOUSHAKI, Abdellah KOUZOU

Source: Algerian Journal of Signals and Systems, Vol 11, Iss 1 (2026)

Subject Terms: Quadcopter, Feedback Linearization, Eigenstructure, Matrix polynomials, Unmanned Aerial Vehicle, Applications of electric power, TK4001-4102, Electric apparatus and materials. Electric circuits. Electric networks, TK452-454.4

File Description: electronic resource

Relation: https://ajss.dz/index.php/ajss/article/view/299; https://doaj.org/toc/2543-3792; https://doaj.org/toc/2676-1548

Access URL: https://doaj.org/article/10285dfbd7d34fc0bfa6cd2e03148432

Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Authors: Subuhi Khan, Hassan Ali, Mohammed Fadel

Source: Applied Mathematics in Science and Engineering, Vol 33, Iss 1 (2025)

Subject Terms: q-Calculus, q-Appell polynomials, complex q-Appell polynomials, q-Hermite matrix polynomials, q-Hermite–Appell matrix polynomials, 05A30, Mathematics, QA1-939, Engineering (General). Civil engineering (General), TA1-2040

File Description: electronic resource

Relation: https://doaj.org/toc/2769-0911

Access URL: https://doaj.org/article/f6031d8ef8dc4a1cafeaad8bed144a8e

Equivalences for Linearizations of Matrix Polynomials

Authors: Corless, Robert M., Rafiee Sevyeri, Leili, Saunders, B David

Source: Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation. :107-114

Availability: http://dl.acm.org/doi/10.1145/3452143.3465547