An iterative formula of smallest singular value of nonsingular matrices

04/03/2022
by   Shun Xu, et al.
0

We obtain an iterative formula that converges incrementally to the smallest singular value. Similarly, we obtain an iterative formula that decreases to converge to the largest singular value.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/03/2021

Two new lower bounds for the smallest singular value

In this paper, we obtain two new lower bounds for the smallest singular ...
research
01/05/2023

A tensor bidiagonalization method for higher-order singular value decomposition with applications

The need to know a few singular triplets associated with the largest sin...
research
07/05/2016

PRIMME_SVDS: A High-Performance Preconditioned SVD Solver for Accurate Large-Scale Computations

The increasing number of applications requiring the solution of large sc...
research
09/04/2019

Automatic Differentiation for Complex Valued SVD

In this note, we report the back propagation formula for complex valued ...
research
07/20/2021

Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime

Following recent interest by the community, the scaling of the minimal s...
research
09/18/2022

RankFeat: Rank-1 Feature Removal for Out-of-distribution Detection

The task of out-of-distribution (OOD) detection is crucial for deploying...
research
06/30/2020

Randomized Kaczmarz converges along small singular vectors

Randomized Kaczmarz is a simple iterative method for finding solutions o...

Please sign up or login with your details

Forgot password? Click here to reset