Results 31 to 40 of about 48,254 (265)

Symmetric Linearizations for Matrix Polynomials [PDF]

SIAM Journal on Matrix Analysis and Applications, 2007
The aim of this paper is to gain new insight into the vector spaces of pencils \({\mathbf L}_1(P)\) and \({\mathbf L}_2(P)\), and their intersection \(\text{DL}(P)\), that arise in connection with the linearization of the polynomial eigenvalue problem \(P(\lambda)x = 0\).
Higham, Nicholas J., Mackey, D. Steven, Mackey, Niloufer, Tisseur, Françoise   +3 more
openaire   +1 more source

Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations

Математичні Студії
We investigate the solutions of the Sylvester-type matrix polynomial equation $$A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda),$$ where\ $A(\lambda),$ \ $ B(\lambda),$\ and \ $C(\lambda)$ are the polynomial matrices with elements in a ring of ...
N. S. Dzhaliuk, V. M. Petrychkovych
doaj   +1 more source

New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach

IEEE Access, 2020
In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li, Mali Xing, Yun Liu, Bin Zhang   +3 more
doaj   +1 more source

On Hermite-Hermite matrix polynomials [PDF]

Mathematica Bohemica, 2008
Summary: The definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented.
Metwally, M. S., Mohamed, M. T., Shehata, A.   +2 more
openaire   +1 more source

Triangularizing matrix polynomials

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taslaman, Leo, Tisseur, Françoise, Zaballa, Ion   +2 more
openaire   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati, Siswanto Siswanto, Supriyadi Wibowo   +2 more
doaj   +1 more source

Decomposable matrix polynomials

Linear Algebra and its Applications, 1993
Let \(L(z)=zI-A\), where \(A\) is an \(n\times n\) complex matrix. It is well known that \(\mathbb{C}^ n\) is the sum of subspaces of the form \(X(z_ 0)=\{x\in\mathbb{C}^ n| L(z)^{-1}x\) has singularity only at \(z_ 0\}\), where \(z_ 0\in\sigma(A)\).
Förster, K.-H., Nagy, B.
openaire   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Two Variables Shivley’s Matrix Polynomials [PDF]

Symmetry, 2019
The principal object of this paper is to introduce two variable Shivley’s matrix polynomials and derive their special properties. Generating matrix functions, matrix recurrence relations, summation formula and operational representations for these polynomials are deduced.
Fuli He, Ahmed Bakhet, M. Hidan, M. Abdalla   +3 more
openaire   +2 more sources