Add to ORKGA new algorithm for computing integrals involving the matrix exponential is given. The method employs diagonal Pade approximation with scaling and squaring. Rigorous truncation error bounds are given and incorporated in a FORTRAN subroutine. The computational aspects of this program are discussed and compared with existing techniques
In this work, we consider a rational approximation of the exponential function to design an algorith...
Two quadrature-based algorithms for computing the matrix fractional power $A^\alpha$ are presented i...
The matrix exponential plays a fundamental role in linear differential equations arising in enginee...
The most popular algorithms for computing the matrix exponential are those based on the scaling and ...
The scaling and squaring method is the most widely used method for computing the matrix exponential,...
Abstract. A new algorithm is developed for computing etAB, where A is an n × n matrix and B is n×n0 ...
[EN] This paper presents new Taylor algorithms for the computation of the matrix exponential based o...
The matrix exponential plays a fundamental role in the solution of differential systems which appear...
The scaling and squaring method is the most widely used algorithm for computing the exponential of a...
A new algorithm is developed for computing $e^{tA}B$, where $A$ is an $n\times n$ matrix and $B$ is ...
[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor appr...
A new algorithm is developed for computing $e^{tA}B$, where $A$ is an $n\times n$ matrix and $B$ is ...
[EN] A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces t...
New algorithms for the matrix exponential and its Fr\'echet derivative are presented. First, we der...
The scaling and squaring method for the matrix exponential is based on the approximation $e^A \appro...
In this work, we consider a rational approximation of the exponential function to design an algorith...
Two quadrature-based algorithms for computing the matrix fractional power $A^\alpha$ are presented i...
The matrix exponential plays a fundamental role in linear differential equations arising in enginee...
The most popular algorithms for computing the matrix exponential are those based on the scaling and ...
The scaling and squaring method is the most widely used method for computing the matrix exponential,...
Abstract. A new algorithm is developed for computing etAB, where A is an n × n matrix and B is n×n0 ...
[EN] This paper presents new Taylor algorithms for the computation of the matrix exponential based o...
The matrix exponential plays a fundamental role in the solution of differential systems which appear...
The scaling and squaring method is the most widely used algorithm for computing the exponential of a...
A new algorithm is developed for computing $e^{tA}B$, where $A$ is an $n\times n$ matrix and $B$ is ...
[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor appr...
A new algorithm is developed for computing $e^{tA}B$, where $A$ is an $n\times n$ matrix and $B$ is ...
[EN] A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces t...
New algorithms for the matrix exponential and its Fr\'echet derivative are presented. First, we der...
The scaling and squaring method for the matrix exponential is based on the approximation $e^A \appro...
In this work, we consider a rational approximation of the exponential function to design an algorith...
Two quadrature-based algorithms for computing the matrix fractional power $A^\alpha$ are presented i...
The matrix exponential plays a fundamental role in linear differential equations arising in enginee...