Backward stability of iterations for computing the polar decomposition

SIAM Journal on Matrix Analysis and Applications

Volumn 33, Issue 2, 2012, Pages 460-479

  Nakatsukasa, Yuji ^a   Higham, Nicholas J ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Backward error analysis; Column pivoting; Dynamically weighted Halley iteration; Inverse Newton iteration; Newton iteration; Newton Schulz iteration; Numerical stability; Polar decomposition; QR factorization; Rounding error analysis; Row pivoting; Row sorting

Indexed keywords

BACKWARD ERROR ANALYSIS; DYNAMICALLY WEIGHTED HALLEY ITERATION; NEWTON ITERATIONS; NEWTON-SCHULZ ITERATION; POLAR DECOMPOSITIONS; QR FACTORIZATIONS; ROUNDING ERROR ANALYSIS; ROW PIVOTING;

BLENDING; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FACTORIZATION;

STABILITY;

EID: 84865526141     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/110857544     Document Type: Article

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