Divided Differences , Shift Transformations and Larkin ' s Root Finding Method

نویسنده

  • A. Schäfer
چکیده

For a one-dimensional complex-valued function/this paper deals with iterative root finding methods using divided differences of /. Assuming that / is given in a Newtonian representation we show how Homer-like transformations ("shift transformations") yield the divided differences needed in each iteration step. In particular, we consider an iteration method given by Larkin [5] and derive an equivalent version of this method fitting into this context. Monotonie convergence to real roots of real polynomials is investigated. Both "shift-" and "nonshift versions" of several root finding methods are tested and compared with respect to their numerical behavior.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discovery of active site of vinblastine as application of nanotechnology in medicine

Objective(s): Vinblastine is antimitotic, anticancer medicine that disturbs normal microtubule formation and favours depolymerisation. Structural study and finding the active site of vinblastine are the targets of this research.   Materials and Methods: Vinblastine was optimized in vacuum and then in different solvents by Density Functional Theory (DFT) method. Nuclear Magnetic Resonance (NMR) ...

متن کامل

Compensation of brain shift during surgery using non-rigid registration of MR and ultrasound images

Background: Surgery and accurate removal of the brain tumor in the operating room and after opening the scalp is one of the major challenges for neurosurgeons due to the removal of skull pressure and displacement and deformation of the brain tissue. This displacement of the brain changes the location of the tumor relative to the MR image taken preoperatively. Methods: This study, which is done...

متن کامل

Transformations computations‎: ‎Power‎, ‎Roots and Inverse

‎This paper presents some results of an annihilated element in Banach algebra‎, ‎and in specific case‎, ‎for any square matrix‎. The developed method significantly improves the computational aspects of transformations calculus and especially for finding powers and roots of any annihilated element‎. ‎An example is given to compare the proposed method with some other methods to show the efficienc...

متن کامل

Reducing Inter-Laboratory Differences between Semen Analyses Using Z Score and Regression Transformations

Background Standardization of the semen analysis may improve reproducibility. We assessed variability between laboratories in semen analyses and evaluated whether a transformation using Z scores and regression statistics was able to reduce this variability. MaterialsAndMethods We performed a retrospective cohort study. We calculated between-laboratory coefficients of variation (CVB) for sperm c...

متن کامل

ویژگی‌های مرفولوژیکی ریشه و جذب نیتروژن در هشت رقم سیب زمینی

Potato (Solanum tuberosum L.) has relatively weak root system and requires high nitrogen fertilizer which is costly and may pose environmental pollution. This study was conducted to compare root morphological characteristics and nitrogen uptake of some potato cultivars growing in Iran. A greenhouse experiment using a completely randomized design with 3 replications and 8 potato cultivars includ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010