An algorithm for numerically inverting the modular j-function
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولOn the Laguerre Method for Numerically Inverting Laplace Transforms
The Laguerre method for numerically inverting Laplace transforms is an old established method based on the 1935 Tricomi-Widder theorem, which shows (under suitable regularity conditions) that the desired function can be represented as a weighted sum of Laguerre functions, where the weights are coefficients of a generating function constructed from the Laplace transform using a bilinear transfor...
متن کاملA Unified Framework for Numerically Inverting Laplace Transforms
where the weights k and nodes k are complex numbers, which depend on n, but do not depend on the transform f̂ or the time argument t. Many different algorithms can be put into this framework, because it remains to specify the weights and nodes. We examine three one-dimensional inversion routines in this framework: the Gaver-Stehfest algorithm, a version of the Fourier-series method with Euler su...
متن کاملAn Algorithm for Modular Exponentiation
A practical technique for improving the performance of modular exponentiations (ME) is described. The complexity of the ME algorithm is modular multiplications (MMs), where n is the length of the exponent, requiring an O(n 2) precomputed look-up table size with very small constant of proportionality. The algorithm uses a double-based number system which we introduce in this paper. O n n log ---...
متن کاملInverting the Angular Correlation Function
The two point angular correlation function is an excellent measure of structure in the universe. To extract from it the three dimensional power spectrum, one must invert Limber’s Equation. Here we perform this inversion using a Bayesian prior constraining the smoothness of the power spectrum. Among other virtues, this technique allows for the possibility that the estimates of the angular correl...
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: Research in Number Theory
سال: 2018
ISSN: 2522-0160,2363-9555
DOI: 10.1007/s40993-018-0099-9