Results 31 to 40 of about 3,545,396 (319)

The derivative of an orthogonal matrix of eigenvectors of a symmetric matrix

Linear Algebra and its Applications, 1997
Let \(M\) be a real symmetric \(p\times p\) matrix with distinct eigenvalues \(\lambda_i\) and associated normalized eigenvectors \(w_i\), \(1\leq i\leq p\). There are real-valued functions \(\psi_i\) and vector-valued functions \(f_i\) defined for all matrices \(Z\) in some neighborhood \({\mathcal N} (M) \subseteq \mathbb{R}^{p \times p}\) of \(M ...
Kollo, T., Neudecker, H.
openaire   +5 more sources

Symmetrical parametrizations of the lepton mixing matrix [PDF]

Physical Review D, 2011
Advantages of the original symmetrical form of the parametrization of the lepton mixing matrix are discussed. It provides a conceptually more transparent description of neutrino oscillations and lepton number violating processes like neutrinoless double beta decay, clarifying the significance of Dirac and Majorana phases.
Rodejohann, Werner, Furtado Valle, José Wagner   +1 more
openaire   +5 more sources

On completions of symmetric and antisymmetric block diagonal partial matrices

, 2013
A partial matrix is a matrix where only some of the entries are given. We determine the maximum rank of the symmetric completions of a symmetric partial matrix where only the diagonal blocks are given and the minimum rank and the maximum rank of the ...
Rubei, Elena
core   +1 more source

Symmetric matrix pencils

Journal of Computational and Applied Mathematics, 1991
Typical matrix eigenvalue problems, quadratic or linear, are best formulated as pencils \((A,M)\) in which both \(A\) and \(M\) are real and symmetric. This fact is emphasized in the paper through a set of physical examples. Then, the canonical forms are used to explain the role of the sign characteristic attached to real eigenvalues.
openaire   +3 more sources

Hypergraphs and hypermatrices with symmetric spectrum

, 2016
It is well known that a graph is bipartite if and only if the spectrum of its adjacency matrix is symmetric. In the present paper, this assertion is dissected into three separate matrix results of wider scope, which are extended also to hypermatrices. To
Nikiforov, V.
core   +1 more source

String order and hidden topological symmetry in the SO(2n + 1) symmetric matrix product states [PDF]

, 2008
We have introduced a class of exactly soluble Hamiltonian with either SO(2n + 1) or SU(2) symmetry, whose ground states are the SO(2n + 1) symmetric matrix product states.
Hong-Hao Tu, Guang-Ming Zhang, T. Xiang
semanticscholar   +1 more source

Unveiling unique protein and phosphorylation signatures in lung adenocarcinomas with and without ALK, EGFR, and KRAS genetic alterations

Molecular Oncology, EarlyView.
Proteomic and phosphoproteomic analyses were performed on lung adenocarcinoma (LUAD) tumors with EGFR, KRAS, or EML4–ALK alterations and wild‐type cases. Distinct protein expression and phosphorylation patterns were identified, especially in EGFR‐mutated tumors. Key altered pathways included vesicle transport and RNA splicing.
Fanni Bugyi, Mirjam Balbisi, Simon Sugár, Lóránd Váncza, Eszter Regős, Ilona Kovalszky, Ibolya Laczó, Tünde Harkó, Gábor Kecskeméti, Zoltán Szabó, Judit Moldvay, László Drahos, Lilla Turiák   +12 more
wiley   +1 more source

An efficient strategy for producing RNA‐free Nucleocapsid protein of SARS‐CoV‐2 for biochemical and structural investigations

FEBS Open Bio, EarlyView.
Cleavable N‐terminal Thioredoxin fusion enabled soluble expression and purification of otherwise insoluble SARS‐CoV‐2 Nucleocapsid (N) protein. A four‐step purification strategy yielded highly homogeneous, RNA‐free N protein. Binding assays showed high RNA affinity (Kd ~ 28 nm). The study will facilitate high‐resolution structural studies of N protein,
Shweta Singh, Gagan D. Gupta
wiley   +1 more source

Digital Activity Markers in Chronic Inflammatory Demyelinating Polyneuropathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate the utility of smartwatch and smartphone‐based activity metrics for assessing disease severity and quality of life in patients with chronic inflammatory demyelinating polyneuropathy (CIDP). Methods In the electronic monitoring of disease activity in patients with CIDP (EMDA‐CIDP) trial, we performed a prospective ...
Lars Masanneck, Jan Voth, Noëmi Gmahl, Konstantin Jendretzky, Niklas Huntemann, Noah M. Werner, Linea Schmidt, Menekse Oeztuerk, Paula Quint, Christina B. Schroeter, Hans Peter Hartung, Thomas Skripuletz, Gerd Meyer zu Hörste, Tobias Ruck, Sven G. Meuth, Marc Pawlitzki   +15 more
wiley   +1 more source

Miniversal deformations of pairs of symmetric matrices under congruence

, 2016
For each pair of complex symmetric matrices $(A,B)$ we provide a normal form with a minimal number of independent parameters, to which all pairs of complex symmetric matrices $(\widetilde{A},\widetilde{B})$, close to $(A,B)$ can be reduced by congruence ...
Dmytryshyn, Andrii
core   +2 more sources