Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.03.011
Abstract: Abstract In this paper, we study the convergence of the Newton-type methods for solving the square inverse singular value problem with possible multiple and zero singular values. Comparing with other known results, positivity assumption of… read more here.
Keywords: newton type; square inverse; inverse singular; convergence newton ... See more keywords
Inverse singular value problem for nonsymmetric ahead arrow matrix
Sign Up to like & getrecommendations! Published in 2021 at "Inverse Problems in Science and Engineering"
DOI: 10.1080/17415977.2021.1902515
Abstract: ABSTRACT Constructing a matrix by its spectral information including singular values is called inverse singular value problem (ISVP). In this paper, an ISVP for nonsymmetric ahead arrow matrix by two eigenpairs of the required matrix… read more here.
Keywords: problem; nonsymmetric ahead; inverse singular; singular value ... See more keywords
Drazin inverse of singular adjacency matrices of directed weighted cycles
Sign Up to like & getrecommendations! Published in 2020 at "Revista De La Union Matematica Argentina"
DOI: 10.33044/revuma.v61n2a02
Abstract: We present a necessary and sufficient condition for the singularity of circulant matrices associated with directed weighted cycles. This condition is simple and independent of the order of matrices from a complexity point of view.… read more here.
Keywords: directed weighted; weighted cycles; inverse singular; drazin inverse ... See more keywords