Results 51 to 60 of about 1,502,182 (290)
Spectral inclusion for unbounded block opeerator matrices [PDF]
, 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
Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
Special Matrices, 2015 We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can
Verde-Star Luis
doaj +1 more source
On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices
Journal of New TheoryIn 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
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
FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
, 2004 In this paper, block distance matrices are introduced. Suppose F is a square block matrix in which each block is a symmetric matrix of some given order. If F is positive semidefinite, the block distance matrix D is defined as a matrix whose (i, j)-block ...
Balaji, R., Bapat, R. B.
core +2 more sources
Factoring block Fiedler Companion Matrices
, 2019 When Fiedler published his “A note on Companion matrices” in 2003 on Linear Algebra and its Applications, he could not have foreseen the significance of this elegant factorization of a companion matrix into essentially two-by-two Gaussian transformations,
Gianna M. Del Corso +7 more
core +2 more sources
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. +2 more
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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