caa a22 4500 465821065 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF01932136 doi (NATIONALLICENCE)springer-10.1007/BF01932136 Barrlund Anders Institute of Information Processing, University of Umeå, S-90187, Umeå, Sweden aut Perturbation bounds on the polar decomposition [Elektronische Daten] [Anders Barrlund] The polar decomposition of ann ×n-matrixA takes the formA=MH whereM is orthogonal andH is symmetric and positive semidefinite. This paper presents strict bounds, (with no order terms), on the perturbationsΔM,ΔH ofM andH respectively, whenA is perturbed byΔA. The bounds onΔM can also be applied to the orthogonal Procrustes problem. BIT Foundations, 1990 Polar decomposition nationallicence Perturbation bounds nationallicence Positive semidefinite nationallicence Procrustes nationallicence BIT Numerical Mathematics Kluwer Academic Publishers 30/1(1990-03-01), 101-113 0006-3835 30:1<101 1990 30 10543 https://doi.org/10.1007/BF01932136 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01932136 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barrlund Anders Institute of Information Processing, University of Umeå, S-90187, Umeå, Sweden aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/1(1990-03-01), 101-113 0006-3835 30:1<101 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer