Condition numbers of the mixed least squares-total least squares problem revisited

نویسندگان

چکیده

A recent study on the condition numbers of mixed least squares-total squares (MTLS) problem is due to Zheng and Yang (Numer Linear Algebra Appl. 2019;26(4):e2239). However, associated expressions are not compact Kronecker-product operations make computation costly. In this paper, we first present new alternative closed formula for order perturbation estimate MTLS solution. Then reveal relationship between Yang's result. Several computable formulae bounds normwise number solution also provided. Finally, componentwise numbers, structured investigated. Through a tests, they shown be tighter than sparse problems.

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ژورنال

عنوان ژورنال: Linear & Multilinear Algebra

سال: 2022

ISSN: ['0308-1087', '1026-7573', '1563-5139']

DOI: https://doi.org/10.1080/03081087.2022.2094861