Results 91 to 100 of about 2,914,259 (200)

On Laguerre-Sobolev matrix orthogonal polynomials

Open Mathematics
In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by ⟨p,q⟩S≔∫0∞p*(x)WLA(x)q(x)dx+M∫0∞(p′(x))*W(x)q′(x)dx,{\langle p,q\rangle }_ ...
Fuentes Edinson, Garza Luis E., Saiz Martha L.   +2 more
doaj   +1 more source

On matrix integration of matrix polynomials

Journal of Computational and Applied Mathematics, 2001
This paper proposes a general framework for the concept of integration, orthogonal polynomials and quadrature formulas for (in general, complex, but in some cases, real) matrix-valued functions. Starting from a reproducing kernel Hilbert space of positive definite forms, the author gives a sketchy proof of the abstract version of the solution of the ...
openaire   +2 more sources

Change of basis for tridiagonal pairs of type II

Nuclear Physics B
This paper is on the topic of tridiagonal pairs of type II. These involve two linear transformations A and A⋆. We define two bases. In the first one, A acts as a diagonal matrix while A⋆ acts as a block tridiagonal matrix, and in the second one, A acts ...
Nicolas Crampé, Julien Gaboriaud, Satoshi Tsujimoto   +2 more
doaj   +1 more source

Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases

SIAM Journal on Matrix Analysis and Applications, 2017
Piers W. Lawrence, Javier Pérez
semanticscholar   +1 more source

Efficient evaluation of matrix polynomials

, 2018
J. Sastre
semanticscholar   +1 more source

Finite Orthogonal M Matrix Polynomials

Symmetry
In this study, we aim to construct a finite set of orthogonal matrix polynomials for the first time, along with their finite orthogonality, matrix differential equation, Rodrigues’ formula, several recurrence relations including three-term relation, forward and backward shift operators, generating functions, integral representation and their relation ...
openaire   +2 more sources

Insight into Genome-Wide Associations of Growth Trajectories Using a Hierarchical Non-Linear Mixed Model. [PDF]

Biology (Basel)
Zhang Y, Yang L, Cui W, Yang R.
europepmc   +1 more source

Posterior estimation of longitudinal variance components from nonlongitudinal data using Bayesian Gaussian process model. [PDF]

Genetics
Arjas A, Leppälä K, Sillanpää MJ.
europepmc   +1 more source

Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree

, 2017
Andrii Dmytryshyn, F. Dopico
semanticscholar   +1 more source