Results 111 to 120 of about 442,498 (206)

Block tridiagonal matrices, band matrices and their inverses

, 1989
Structural properties of the inverses of block tridiagonal matrices and band matrices are discussed. The definition of semi-separable matrices is given and the theorem is proved that the inverse of a strict band matrix is a semi-separable matrix and vice
Rosza P, Bevilacqua R, Romani F, Favati P   +3 more
core  

The eigenvalues of some anti-tridiagonal Hankel matrices

Kuwait Journal of Science, 2018
We determine the spectra of two families of anti-tridiagonal Hankel matrices of any order. The approach is much stronger and more concise than those particular cases appearing in the literature.
Carlos Fonseca
doaj  

On a family of tridiagonal matrices

, 2008
We show that certain integral positive definite symmetric tridiagonal matrices of determinant $n$ are in one to one correspondence with elements of $(\mathbb Z/n\mathbb Z)^*$. We study some properties of this correspondence. In a somewhat unrelated second part we discuss a construction which associates a sequence of integral polytopes to every integral
openaire   +3 more sources

On the inverse of block tridiagonal matrices with applications to the inverses of band matrices and block band matrices

, 1989
In the present paper the authors make an attempt to give a uniform description of the main properties of tridiagonal, band, block tridiagonal and block band matrices and their inverses.
Rosza P, Bevilacqua R, Favati P, Romani F   +3 more
core  

ON DETERMINANTS AND PERMANENTS OF k-TRIDIAGONAL TOEPLITZ MATRICES

, 2012
In this paper we introduce k-tridiagonal Toeplitz matrices and give algorithms for determinants and permanents of these matrices. We give illustrative examples for these algorithms.
El-Mikkawy, Moawwad, Asci, Mustafa, TAŞCI, DURSUN   +2 more
core   +1 more source

Symmetric Tridiagonal Eigenvalue Solver Across CPU Graphics Processing Unit (GPU) Nodes

Applied Sciences
In this work, an improved and scalable implementation of Cuppen’s algorithm for diagonalizing symmetric tridiagonal matrices is presented. This approach uses a hybrid-heterogeneous parallelization technique, taking advantage of GPU and CPU in a ...
Erika Hernández-Rubio, Alberto Estrella-Cruz, Amilcar Meneses-Viveros, Jorge Alberto Rivera-Rivera, Liliana Ibeth Barbosa-Santillán, Sergio Víctor Chapa-Vergara   +5 more
doaj   +1 more source

On Tridiagonal Correlation Matrices

Pan-American Journal of Mathematics
We investigate the conditions under which symmetric tridiagonal matrices represent valid correlation matrices. By exploiting a recursive determinant relationship, we derive explicit sufficient conditions for positive definiteness and highlight connections with several existing criteria.
openaire   +1 more source

On the determinant of tridiagonal matrices via some special numbers

, 2012
URL: http://sjam.selcuk.edu.tr/sjam/article/view/94In this study, we obtain the Generalized k-Fibonacci and k-Lucas numbers by using determinants of tridiagonal matrices. Therefore it has been established a new generalization for the tridiagonal matrices
Yazlık, Yasin, Taşkara, Necati, Yılmaz, Nazmiye   +2 more
core  

Reduced QED with Few Planes and Fermion Gap Generation. [PDF]

Entropy (Basel), 2023
Gorbar EV, Gusynin VP, Parymuda MR.
europepmc   +1 more source

Generalized Bivariate Fibonacci and Lucas Polynomials By Tridiagonal Matrices

In this paper, we present certain tridiagonal matrices associated with generalized bivariate Fibonacci and Lucas polynomials and investigate the relationships between these matrices and polynomials.
Yasemin TASYURDU, Beyza AYDAN
core   +1 more source