{'fraction_non_alphanumeric': 0.007853403141361256, 'fraction_numerical': 0.0, 'mean_word_length': 5.079365079365079, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
The BPX preconditioner for the single layer potential operator

In this paper we discuss the BPX preconditioner for the single layer potential operator. We find that the exterm eigenvalues of the preconditioner applied to the single layer petntial operator are bounded independent of the number of unknowns. A description of an efficient implemetation of the BPX algorithm is given.