Results 51 to 60 of about 9,160 (266)

Factorization of matrices of quaternions

Expositiones Mathematicae, 2012
We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem.
openaire   +2 more sources

Factorizations of Cauchy matrices

Journal of Computational and Applied Mathematics, 1997
A matrix \(C\) with entries \(c_{ij}= (x_i- y_j)^{-1}\) is said to be a Cauchy matrix. The LU-factorization with appropriate pivoting is discussed. The size of the matrix elements in the resulting upper triangular matrices is illustrated in 12 figures, for 12 typical situations.
Calvetti, D., Reichel, L.
openaire   +2 more sources

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

ZjuMatrix: C++ vector and matrix class library for finite element method

SoftwareX
Finite element analysis is an indispensable and valuable tool widely used in the field of science and technology. It involves a multitude of matrix operations, storage of large banded matrices, and calculation of large-scale algebraic equations and ...
Shicheng Zheng, Rongqiao Xu
doaj   +1 more source

Determinants of the RFMLR Circulant Matrices with Perrin, Padovan, Tribonacci, and the Generalized Lucas Numbers

Journal of Applied Mathematics, 2014
The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two ...
Zhaolin Jiang, Nuo Shen, Juan Li
doaj   +1 more source

Factorization of block matrices

Linear Algebra and its Applications, 1985
This investigation is concerned with block matrices presented in factored partitions. The work stated here involves theorems, important examples and applications brought up by the notion of general factorization of block matrices. It is interesting to note here the principal merit of the examples, its techniques and the special cases such as self ...
Ellis, Robert L., Gohberg, Israel, Lay, David   +2 more
openaire   +2 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

An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
doaj   +1 more source

Factorization of matrices into partial isometries [PDF]

Proceedings of the American Mathematical Society, 1989
In this paper, we characterize complex square matrices which are expressible as products of partial isometries and orthogonal projections. More precisely, we show that a matrix T T is the product of k k partial isometries ( k ≥ 1 ) (k \geq 1) if and only if
Kuo, Kunghwang, Wu, Peiyuan
openaire   +2 more sources

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source