Biconjugate residual algorithm for solving general Sylvester-transpose matrix equations

Hajarian, Masoud

doi:10.2298/fil1815307h

Filomat

2018

DOI: 10.2298/fil1815307h

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Biconjugate residual algorithm for solving general Sylvester-transpose matrix equations

Masoud Hajarian¹

Abstract: The present paper is concerned with the solution of the coupled generalized Sylvester-transpose matrix equations A

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Cited by 2 publications

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Minimization of the difference of Nuclear and Frobenius norms for noisy low rank matrix recovery

Cai

2019

Int. J. Wavelets Multiresolut Inf. Process.

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This paper considers recovery of matrices that are low rank or approximately low rank from linear measurements corrupted with additive noise. We study minimization of the difference of Nuclear and Frobenius norms (abbreviated as [Formula: see text] norm) as a nonconvex and Lipschitz continuous metric for solving this noisy low rank matrix recovery problem. We mainly study two types of bounded observation noisy low rank matrix recovery problems, including the [Formula: see text]-norm bounded noise and the Dantizg Selector noise. Based on the matrix restricted isometry property (abbreviated as M-RIP), we prove that this [Formula: see text] norm-based minimization method can stably recover a (approximately) low rank matrix in the two types bounded noisy low rank matrix recovery problems. In addition, we use the truncated difference of Nuclear and Frobenius norms (denoted as the truncated [Formula: see text] norm) to recover a low rank matrix when the observation noise is the Dantizg Selector noise. We give the stable recovery result for this truncated [Formula: see text] norm minimization in Dantizg Selector noise case when the linear measurement map satisfies the M-RIP condition.

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Minimization of the difference of Nuclear and Frobenius norms for noisy low rank matrix recovery

Cai

2019

Int. J. Wavelets Multiresolut Inf. Process.

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On Solution of Generalized Sylvester Transpose Matrix Equation Using Symmetric – Skew Symmetric Splitting Method

Sarduvan

Kaplan

2020

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi

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Biconjugate residual algorithm for solving general Sylvester-transpose matrix equations

Abstract: The present paper is concerned with the solution of the coupled generalized Sylvester-transpose matrix equations A

Cited by 2 publications

References 42 publications

Minimization of the difference of Nuclear and Frobenius norms for noisy low rank matrix recovery

Minimization of the difference of Nuclear and Frobenius norms for noisy low rank matrix recovery

On Solution of Generalized Sylvester Transpose Matrix Equation Using Symmetric – Skew Symmetric Splitting Method

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