The Canonical Generalized Polar Decomposition

The polar decomposition of a square matrix has been generalized by several authors to scalar products on Rn or Cn given by a bilinear or sesquilinear form. Previous work has focused mainly on the case of square matrices, sometimes with the assumption of a Hermitian scalar product. We introduce the canonical generalized polar decomposition A = WS, defined for general m

• Type: Journal
• Year: 2010
• Where: SIAMMAX
• Authors: Nicholas J. Higham, Christian Mehl, Françoise Tisseur
• Keywords: Generalized Polar Decomposition, Polar Decomposition, Scalar Product, SIAMMAX 2010