Let be the set of real positive definite symmetric -matrices equipped with the Euclidean norm, and let . Let be the set of all real non-degenerate lower-triangular -matrices equipped with the Euclidean norm, and let be a (differentiable) map assigning to a positive definite symmetric matrix its lower-triangular factor in the -decomposition. We give an effective upper estimate for .
Cite this article
Z. Balanov, Wieslaw Krawcewicz, A. Kushkuley, P. P. Zabrejko, On a Local Lipschitz Constant of the Maps Related to -Decomposition. Z. Anal. Anwend. 19 (2000), no. 4, pp. 1047–1055