The Padé iterations for the matrix sign function and their reciprocals are optimal
نویسندگان
چکیده
منابع مشابه
The Padé iterations for the matrix sign function and their reciprocals are optimal
It is proved that among the rational iterations locally converging with order s > 1 to the sign function, the Padé iterations and their reciprocals are the unique rationals with the lowest sum of the degrees of numerator and denominator.
متن کاملRegions of convergence of a Padé family of iterations for the matrix sector function and the matrix pth root
In this paper we prove a conjecture on a common region of a convergence of Padé iterations for the matrix sector function. For this purpose we show that all Padé approximants to a special case of hypergeometric function have a power series expansion with positive coefficients. Using a sharpened version of Schwarz’s lemma, we also demonstrate a better estimate of the convergence speed. Our resul...
متن کاملthe relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test
the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...
15 صفحه اولthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولMatrix Padé Fractions and Their Computation
For matrix power series with coefficients over a field, the notion of a matrix power series remainder sequence and its corresponding cofactor sequence are introduced and developed. An algorithm for constructing these sequences is presented. It is shown that the cofactor sequence yields directly a sequence of Pad6 fractions for a matrix power series represented as a quotient B(z)-lA(z). When B(z...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.04.016