Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition

Pingping Zhang, Hu Yang, Hanyu Li
2012 Journal of Applied Mathematics  
Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction thatAand its perturbed matrixA˜have the same rank. These bounds improve the corresponding recent results.
doi:10.1155/2012/219025 fatcat:nkd46rezzvcg5pt2vwjjzwonti