Some explicit formulas for the matrix exponential
نویسندگان
چکیده
منابع مشابه
Some explicit formulas for mixed exponential service systems
We present some explicit formulas for queue length and waiting time distributions of customers in the MfHE,,,/l queue. The formulas are obtained with the aid of roots of quadratic, cubic, and quartic polynomials constructed from a recurrence equation. With an example, we demonstrate that the formulas for queueing dishbutions are exhemely accurate, while the corresponding infinite history M IGII...
متن کاملExponential maps and explicit formulas
In this section we introduce an exponential homomorphism for the Milnor K -groups for a complete discrete valuation field of mixed characteristics. In general, to work with the additive group is easier than with the multiplicative group, and the exponential map can be used to understand the structure of the multiplicative group by using that of the additive group. We would like to study the str...
متن کاملSome Explicit Formulas for the Iteration of Rational Functions
Let f be a rational function, which has k n-cycles under iteration. By using the symmetry of the underlying equation of degree k ·n, it is reduced to equations of degree k and n. This is explained in terms of Galois theory. The 3and 4-cycles of fc(z) = z2 + c are obtained explicitly. This yields the corresponding multiplier, which maps hyperbolic components of the Mandelbrot set conformally ont...
متن کاملExplicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations
The Drazin inverse solutions of the matrix equations AX = B, XA = B and AXB = D are considered in this paper. We use both the determinantal representations of the Drazin inverse obtained earlier by the author and in the paper. We get analogs of the Cramer rule for the Drazin inverse solutions of these matrix equations and using their for determinantal representations of solutions of some differ...
متن کاملBloch and Kato ’ s Exponential Map : Three Explicit Formulas
The purpose of this article is to give formulas for BlochKato’s exponential map and its dual for an absolutely crystalline padic representation V , in terms of the (φ,Γ)-module associated to V . As a corollary of these computations, we can give a very simple and slightly improved description of Perrin-Riou’s exponential map, which interpolates Bloch-Kato’s exponentials for the twists of V . Thi...
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: IEEE Transactions on Automatic Control
سال: 1993
ISSN: 0018-9286
DOI: 10.1109/9.233156