Results 71 to 80 of about 244 (170)

Backward Errors for Eigenvalue and Singular Value Decompositions

open access: yes, 1994
. We present bounds on the backward errors for the symmetric eigenvalue decomposition and the singular value decomposition in the two-norm and in the Frobenius norm.
I.C.F. Ipsen, S. Chandrasekaran
core  

On the Yang-Baxter-like matrix equation for rank-two matrices

open access: yesOpen Mathematics, 2017
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX.
Zhou Duanmei, Chen Guoliang, Ding Jiu
doaj   +1 more source

Some properties on the lexicographic product of graphs obtained by monogenic semigroups Proceedings of the International Congress in Honour of Professor Hari M. Srivastava

open access: yes, 2013
In (Das et al. in J. Inequal. Appl. 2013:44, 2013), a new graph [InlineEquation not available: see fulltext.] on monogenic semigroups [InlineEquation not available: see fulltext.] (with zero) having elements [InlineEquation not available: see fulltext ...
Çevik, A.   +3 more
core   +1 more source

AN EFFICIENT GAUSS-NEWTON ALGORITHM FOR SYMMETRIC LOW-RANK PRODUCT MATRIX APPROXIMATIONS

open access: yes, 2015
. We derive and study a Gauss-Newton method for computing a symmetric low-rank product XXT, where X ∈ Rn×k for k < n, that is the closest to a given symmetric matrix A ∈ Rn×n in Frobenius norm.
Wen, Zaiwen   +5 more
core   +1 more source

A Newton-like Method for Nonlinear Semidefinite Inequalities

open access: yes, 2007
A matrix map F (x) is said to be (matricially) convex, if u T F (x)u is a convex function for every u. In this paper, semidefinite systems of the type F (x) ¯ 0, where F (x) is matricially convex, are considered. This class of problems generalizes both
Motakuri Ramana, A. J. Goldman
core  

Eigenvalues of the Adjacency Tensor on Products of Hypergraphs [PDF]

open access: yes, 2013
We consider the generalized notions of Cartesian and tensor products on m-uniform hypergraphs. The adjacency tensor is analogous to the adjacency matrix and two different notions of eigenvalues of the adjacency tensor on the products of hypergraphs are ...
Kelly J Pearson, Tan Zhang
core  

Spectra of expansion graphs

open access: yes, 1999
. Replace certain edges of a directed graph by chains and consider the eect on the spectrum of the graph. It is shown that the spectral radius decreases monotonically with the expansion and that, for a strongly connected graph that is not a single cycle,
Hans Schneider   +2 more
core   +1 more source

Esophageal Stenting: How I Do It. [PDF]

open access: yesGE Port J Gastroenterol, 2023
Silva R.
europepmc   +1 more source

Gegenbauer polynomials and semiseparable matrices

open access: yes, 2007
. In this paper, we develop a new O(n log n) algorithm for converting coefficients between expansions in different families of Gegenbauer polynomials up to a finite degree n.
Jens Keiner
core  

Construction of 4 x 4 symmetric stochastic matrices with given spectra

open access: yesOpen Mathematics
The symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by a ...
Jung Jaewon, Kim Donggyun
doaj   +1 more source

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