Determination Method of Positive Definite Matrix and New Brauer Oval
نویسندگان
چکیده
منابع مشابه
Active Positive-Definite Matrix Completion
In the FindCandidates function (line 4), Select finds all the single edges that can be added to the current mask graph GΩ while maintaining its chordal structure. To do that, we make use of the clique tree data structure as introduced by Ibarra [1]. Given a graph G = (V,E), the clique tree is a tree C = (VC , EC), in which each node is a maximal clique of G, i.e., VC ⊂ 2 . In our case the numbe...
متن کاملA New Inversion-free Method for Hermitian Positive Definite Solution of Matrix Equation
An inversion-free iterative algorithm is presented for solving nonlinear matrix equation with a stepsize parameter t. The existence of the maximal solution is discussed in detail, and the method for finding it is proposed. Finally, two numerical examples are reported that show the efficiency of the method. Keywords—Inversion-free method, Hermitian positive definite
متن کاملPositive definite solutions of some matrix equations
In this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others. © 2008 Elsevier Inc. All rights reserved. AMS classification: 15A24; 15A48; 42A82; 47A62
متن کاملInteger Factorization of a Positive-Definite Matrix
This paper establishes that every positive-definite matrix can be written as a positive linear combination of outer products of integer-valued vectors whose entries are bounded by the geometric mean of the condition number and the dimension of the matrix.
متن کاملOn the Approximation of Matrix Products and Positive Definite Matrices
In this paper, we introduce and analyze new randomized and deterministic algorithms to approximate the product of two matrices. In addition we provide what is, to the best of our knowledge, the first relative error bound for the Nyström approximation of quadratic forms. While deriving the proofs of the results, we highlight several new connections between matrix products, the Nyström extension ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2018
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2018.81003