Results 41 to 50 of about 96,557 (302)

The Inverses of Block Hankel and Block Toeplitz Matrices [PDF]

SIAM Journal on Computing, 1990
A set of new formulae for the inverse of a block Hankel (or block Toeplitz) matrix is given. The formulae are expressed in terms of certain matrix Pade forms, which approximate a matrix power series associated with the block Hankel matrix.By using Frobenius-type identities between certain matrix Pade forms, the inversion formulae are shown to ...
George Labahn, Dong-Koo Choi, Stanley Cabay   +2 more
openaire   +1 more source

Block Jacobi matrices and Titchmarsh-Weyl function [PDF]

Opuscula Mathematica
We collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and better known scalar Jacobi case.
Marcin Moszyński, Grzegorz Świderski
doaj   +1 more source

On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices

Journal of New Theory
In this paper, we consider some block matrices of dimension $nm\times{nm}$ whose components are triangular matrices of dimension $n\times{n}$. We prove that the determinant of such block matrices is determined only by the diagonal elements of their ...
Fatma Altun, Ufuk Kaya
doaj   +1 more source

On a class of block toeplitz matrices

Linear Algebra and its Applications, 1996
The authors consider matrices that are the sum of an identity matrix and a self-adjoint block Toeplitz matrix that has a symmetric band of zero blocks. Such matrices arise in the problem of orthogonalizing certain matrix-valued functions on the unit circle.
Ellis, Robert L., Gohberg, Israel, Lay, David C.   +2 more
openaire   +1 more source

Block LU factorizations of M-matrices [PDF]

Numerische Mathematik, 1998
It is well known that any nonsingular M-matrix admits an LU factorization into M-matrices (with L and U lower and upper triangular respectively) and any singular M-matrix is permutation similar to an M-matrix which admits an LU factorization into M-matrices.
Judith J. McDonald, Hans Schneider
openaire   +3 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Spectral inclusion for unbounded block opeerator matrices

, 2009
In this paper we establish a new analytic enclosure for the spectrum of unbounded linear operators A admitting a block operator matrix representation. For diagonally dominant and off-diagonally dominant block operator matrices, we show that the recently ...
Tretter, Christiane
core   +1 more source

The binary rank of circulant block matrices

Linear Algebra and its Applications, 2023
The binary rank of a $0,1$ matrix is the smallest size of a partition of its ones into monochromatic combinatorial rectangles. A matrix $M$ is called $(k_1, \ldots, k_m ; n_1, \ldots, n_m)$ circulant block diagonal if it is a block matrix with $m$ diagonal blocks, such that for each $i \in [m]$, the $i$th diagonal block of $M$ is the circulant matrix ...
Ishay Haviv, Michal Parnas
openaire   +3 more sources