fixed incorrect capitals in section headings per Wikipedia:Manual of Style; got rid of some cases of "inline" TeX and swithched to \scripstyle in some where TeX may have been unavoidable
There is a surprising connection with the shifted QR algorithm for computing matrix eigenvalues. See Dekker and Traub [http://wwwlinkinghub.sciencedirectelsevier.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=596538089&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=6062eb1bdb37e355f732a580c6faee1aretrieve/pii/0024379571900358 The shifted QR algorithm for Hermitian matrices].<ref>Dekker, T. J. and Traub, J. F. (1971), [http://wwwlinkinghub.sciencedirectelsevier.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=596538089&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=6062eb1bdb37e355f732a580c6faee1aretrieve/pii/0024379571900358 The shifted QR algorithm for Hermitian matrices], Lin. Algebra Appl., 4(2), 137-154.</ref> Again the shifts may be viewed as Newton-Raphson iteration on a sequence of rational functions converging to a first degree polynomial.
