Calculating the matrix exponential of a constant matrix on time scales

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Exponential of a Constant Matrix on Time Scales

In this paper we describe an elementary method for calculating the matrix exponential on an arbitrary time scale. An example is also given to illustrate the result. 2000 Mathematics subject classification: primary 34A30.

متن کامل

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

15 صفحه اول

Notes on the matrix exponential

The purpose of these notes is to describe how one can compute the matrix exponential e when A is not diagonalisable. This is done in Teschl by transforming A into Jordan normal form. As we will see here, it is not necessary to go this far. It su ces to transform A into block form, where each block only has one eigenvalue (up to multiplicity). For completeness we also present a proof of the Jord...

متن کامل

On a constant-diagonals matrix

In this paper, we consider a constant-diagonals matrix. The matrix was discussed in Wituła and Słota [R. Wituła, D. Słota, On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices, Appl. Math. Comput. 189 (1) (2007) 514–527]. The authors gave some results on determinant and the inverse of the matrix for some special cases. We give LU factori...

متن کامل

Fast computation of the matrix exponential for a Toeplitz matrix

The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and for a general, unstructured n×n matrix it can be computed in O(n3) operations. An interesting problem arises if the input matrix is a Toeplitz matrix, for example as the result of discretizing integral equations with a time invariant kernel. In this case it is not obvious how to take advantage of t...

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

ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2008

ISSN: 0893-9659

DOI: 10.1016/j.aml.2007.06.006