Results 91 to 100 of about 165,987,094 (304)

Inherited LU-factorizations of matrices

Linear Algebra and its Applications, 2007
Assume that \(A\) is an \(n\times n\) matrix with entries in a ring \(\mathcal{R}\) and that \(a_{11}, a_{22},\dots,a_{nn}\) are invertible elements in \(\mathcal{R}\). Write \(A=B+D+C\) where \(B\) is strictly lower triangular, \(C\) is strictly upper triangular, and \(D\) is diagonal. The authors consider various factorizations containing \(B\), \(D\)
Arav, Marina, Bevis, Jean, Hall, Frank J.   +2 more
openaire   +2 more sources

Epigenetic reprogramming of lineage switching in cancer

FEBS Letters, EarlyView.
Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı, Burcu Akman, Ezgi Bağırsakçı, Nese Atabey, Serap Erkek‐Ozhan   +4 more
wiley   +1 more source

The microbiome in human skin aging

FEBS Letters, EarlyView.
Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana, Cornelia Wiegand, Omid Omrani, Mario Fabri   +3 more
wiley   +1 more source

Simultaneous non-negative matrix factorization for multiple large scale gene expression datasets in toxicology [PDF]

, 2012
Non-negative matrix factorization is a useful tool for reducing the dimension of large datasets. This work considers simultaneous non-negative matrix factorization of multiple sources of data.
Clare M. Lee, Vass J. Keith, D R Haggart, Lee Clare M., Mudaliar, MAV, Higham, Desmond, Vass, D.J., Manikhandan A V Mudaliar, Gino Miele, Mudaliar, Manikhandan A.V., Haggart, D. R., Mudaliar, M.A.V., Higham, Desmond J., Haggart D. R., Crowther, Daniel, D. R. Haggart, Lee, C.M., Lee, Clare M., Mudaliar Manikhandan A. V., J Keith Vass, Higham Desmond J., Wolf, C.R., Higham, D.J., Wolf C. Roland, Miele Gino, Mudaliar, Manikhandan A. V., Miele, Geno, Desmond J Higham, Clare M Lee, C. Roland Wolf, Miele, G., Manikhandan A. V. Mudaliar, C Roland Wolf, Crowther Daniel, Vass, J.K., Miele, Gino, J. Keith Vass, Crowther, D., Crowther, Daniel; id_orcid, Daniel Crowther, Vass, J. Keith, Desmond J. Higham, Haggart, D.R., Wolf, C. Roland, Lee, Clare   +44 more
core   +1 more source

Fast Computation for Square Matrix Factorization

Computers
In this work, we discuss a method for the QR-factorization of N×N matrices where N≥3 which is based on transformations which are called discrete signal-induced heap transformations (DsiHTs). These transformations are generated by given signals and can be
Artyom M. Grigoryan
doaj   +1 more source

Bidiagonal factoring of Stirling matrices

Maple Transactions
Stirling cycle numbers and Stirling partition numbers have many combinatorial applications. A symmetric matrix built from Stirling cycle numbers, which is known to be totally nonnegative, appears as https://oeis.org/A137854 in the Online Encyclopedia of Integer Sequences. In this paper we give analytical bidiagonal factorings of these matrices.
Robert M. Corless, David J. Jeffrey, Qingze Li   +2 more
openaire   +1 more source

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

FEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee, Mingming Tong, Anna L. Gloyn   +2 more
wiley   +1 more source

Using underapproximations for sparse nonnegative matrix factorization [PDF]

Nonnegative Matrix Factorization (NMF) has gathered a lot of attention in the last decade and has been successfully applied in numerous applications.
GILLIS, Nicolas, GLINEUR, François
core  

Least Order Coprime Factorizations of Rational Matrices: The Canonical Case [PDF]

, 1998
Given an arbitrary real rational matrix G and a domain Gamma g in the closed complex plane we develop a complete theory of coprime factorizations of G over Gamma g having denominators of least possible McMillan degree.
Varga, A., Oara, C.
core  

Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings [PDF]

, 2019
Let R be a commutative unital ring. A well-known factorization problem is whether any matrix in SLₙ(R) is a product of elementary matrices with entries in R.
Kutzschebauch, Frank, Doubtsov, Evgueni
core   +3 more sources