Results 51 to 60 of about 3,534,092 (344)
The symmetric linear matrix equation [PDF]
The Electronic Journal of Linear Algebra, 2002 In this paper sufficient conditions are derived for the existence of unique and positive definite solutions of the matrixequations X − A ∗ XA1 − ... − A ∗XAm = Q and X + A ∗ XA1 + ... + A ∗XAm = Q. In the case there is a unique solution which is positive definite an explicit expression for this solution is given.
Martine C.B. Reurings, André C. M. Ran
openaire +3 more sources
An Efficient Gauss-Newton Algorithm for Symmetric Low-Rank Product Matrix Approximations
SIAM Journal on Optimization, 2015 We derive and study a Gauss--Newton method for computing a symmetric low-rank product $XX^{{T}}$, where $X \in{\mathbb{R}}^{n\times k}$ for ...
Xin Liu, Zaiwen Wen, Yin Zhang
semanticscholar +1 more source
PT Symmetry as a Generalization of Hermiticity
, 2010 The Hilbert space in PT-symmetric quantum mechanics is formulated as a linear vector space with a dynamic inner product. The most general PT-symmetric matrix Hamiltonians are constructed for 2*2 and 3*3 cases.
Ballentine L E +9 more
core +1 more source
Unitary equivalence to a complex symmetric matrix: geometric criteria [PDF]
, 2009 We develop several methods, based on the geometric relationship between the eigenspaces of a matrix and its adjoint, for determining whether a square matrix having distinct eigenvalues is unitarily equivalent to a complex symmetric matrix.
S. Garcia, L. Balayan
semanticscholar +1 more source
Pesquimat, 2014 This work proposes the minimization of bandwidth in sparse symmetric Matrix, using genetic algorithms and an oum software, developed in MS Visual Studio 6. O.
Ricardo López Guevara
doaj +1 more source
Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
doaj +1 more source
2*2 random matrix ensembles with reduced symmetry: From Hermitian to PT-symmetric matrices
, 2012 A possibly fruitful extension of conventional random matrix ensembles is proposed by imposing symmetry constraints on conventional Hermitian matrices or parity-time- (PT-) symmetric matrices.
Bender C M +11 more
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
FEBS Open Bio, EarlyView.Stem cell‐based embryo models (SCBEMs) are valuable to study early developmental milestones. Matrigel, a basement membrane matrix, is a critical substrate used in various SCBEM protocols, but its role in driving stem cell lineage commitment is not clearly defined.
Atoosa Amel +3 more
wiley +1 more source
FEBS Open Bio, EarlyView.The contrast transfer function (CTF) is an imaging aberration that is a major resolution‐limiting factor in cryo‐electron microscopy (cryo‐EM). Precise CTF estimation is key to overcoming this limitation, but is particularly challenging in cryo‐electron tomography (cryo‐ET) data. Here, we present an approach for using geometric information to assist in
Sagar Khavnekar, William Wan
wiley +1 more source