Note on "a new scaling for newton's iteration for the polar decomposition and its backward stability" by R. Byers and H. Xu

SIAM Journal on Matrix Analysis and Applications

Volumn 31, Issue 3, 2009, Pages 1538-1539

  Kiełbasiński, Andrzej ^a   Ziȩtak, Krystyna ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Backward stability; Newton's method; Polar decomposition

Indexed keywords

FIRST-ORDER ANALYSIS; NEWTON'S ITERATION; NEWTON'S METHODS; POLAR DECOMPOSITIONS; ROUNDING ERRORS;

NEWTON-RAPHSON METHOD;

THEOREM PROVING;

EID: 84861312729     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/08074012X     Document Type: Article

References (2)

1. R. Byers and H. Xu, A new scaling for Newton's iteration for the polar decomposition and its backward stability, SIAM J. Matrix Anal. Appl., 30 (2008), pp. 822-843.
2. A. Kiełbasiński and K. Ziȩtak, Numerical behaviour of Higham's scaled method for polar decomposition, Numer. Algorithms, 32 (2003), pp. 105-140.