Results 1 to 10 of about 138,468 (211)

Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies

, 1991
Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued.
Hollowood, Timothy, Miramontes, Luis, Nappi, Chiara, Pasquinucci, Andrea   +3 more
core   +2 more sources

Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
doaj   +1 more source

Inequalities for selected eigenvalues of the product of matrices

, 2019
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues.
Xi, Bo-Yan, Zhang, Fuzhen
core   +1 more source

Novel Steganographic Method Based on Hermitian Positive Definite Matrix and Weighted Moore–Penrose Inverses

Applied Sciences
In this paper, we describe the concept of a new data-hiding technique for steganography in RGB images where a secret message is embedded in the blue layer of specific bytes.
Selver Pepić, Muzafer Saračević, Aybeyan Selim, Darjan Karabašević, Marija Mojsilović, Amor Hasić, Pavle Brzaković   +6 more
doaj   +1 more source

Notes on the Hermitian Positive Definite Solutions of a Matrix Equation

Journal of Applied Mathematics, 2014
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1 ...
Jing Li, Yuhai Zhang
doaj   +1 more source

Some New Algebraic Method Developments in the Characterization of Matrix Equalities

Axioms
Algebraic expressions and equalities can be constructed arbitrarily in a given algebraic framework according to the operational rules provided, and thus it is a prominent and necessary task in mathematics and applications to construct, classify, and ...
Yongge Tian
doaj   +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, Bender C M, Bender C M, Bender C M, Jie-hong Zhang, Mostafazadeh A, Mostafazadeh A, Mostafazadeh A, Qing-hai Wang, Song-zhi Chia   +9 more
core   +1 more source

A Robust Hermitian and Skew-Hermitian Based Multiplicative Splitting Iterative Method for the Continuous Sylvester Equation

Mathematics
For solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak, Abbas Abbaszadeh Shahri   +1 more
doaj   +1 more source

Entanglement spectrum and entropy in topological non-Hermitian systems and nonunitary conformal field theory

Physical Review Research, 2020
We study entanglement properties of free-fermion systems without Hermiticity by use of correlation matrix and overlap matrix in the biorthogonal basis. We find at a critical point in the non-Hermitian Su-Schrieffer-Heeger (SSH) model with parity and time-
Po-Yao Chang, Jhih-Shih You, Xueda Wen, Shinsei Ryu   +3 more
doaj   +1 more source

Simple subspace based adaptive beamforming under Toeplitz covariances

EURASIP Journal on Advances in Signal Processing
When uncorrelated signals are incident on a uniform linear array, the array covariance matrix is of the Toeplitz form. An adaptive beamforming method is proposed based on the signal-plus-interference (SI) subspace via the Toeplitz rectification of the ...
Yang-Ho Choi
doaj   +1 more source