Results 21 to 30 of about 3,545,396 (319)
The Algebras of Large N Matrix Mechanics [PDF]
, 1998 Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: The Hamiltonian framework of large N matrix mechanics provides a natural setting in which to study ...
Alfaro J. +10 more
core +5 more sources
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
H. Kurata, R. Bapat
semanticscholar +1 more source
A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix
Linear Algebra and its Applications, 1993 Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions.
Vjeran Hari, Noah H. Rhee
openaire +3 more sources
Symmetric functions and the Vandermonde matrix
Journal of Computational and Applied Mathematics, 2004 The authors discuss symmetric functions and related combinatorial numbers and their recurrences and relate this to the factorization of structured matrices, such as Vandermonde matrices. First definitions and properties are recalled for symmetric functions, defined as \[ \sigma_r(x_1,\ldots,x_n) = \sum_{1\leq ...
Oruc, HALİL, Akmaz, HK
openaire +3 more sources
The distribution of symmetric matrix quotients
Journal of Multivariate Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arjun K. Gupta, D. G. Kabe
openaire +2 more sources
Smoothed analysis of symmetric random matrices with continuous distributions [PDF]
, 2015 We study invertibility of matrices of the form $D+R$ where $D$ is an arbitrary symmetric deterministic matrix, and $R$ is a symmetric random matrix whose independent entries have continuous distributions with bounded densities. We show that $|(D+R)^{-1}|
Farrell, Brendan, Vershynin, Roman
core +3 more sources
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: a modulus criterion [PDF]
, 2010 We develop a procedure for determining whether a square complex matrix is unitarily equivalent to a complex symmetric (i.e., self-transpose) matrix. Our approach has several advantages over existing methods.
S. Garcia, Daniel E. Poore, M. Wyse
semanticscholar +1 more source
Symmetric multisplitting of a symmetric positive definite matrix
Linear Algebra and its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Hao Cao, Zhong-Yun Liu
openaire +2 more sources
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