W.-H. Steeb and Y. Hardy, Exponential of a matrix, a nonlinear problem, and quantum gates, J. Math. Phys., 56 (2015), 012201.Willi-Hans Steeb and Yorick Hardy. Exponential of a matrix, a nonlinear problem and quantum gates. arXiv preprint arXiv:1311.2372, 2013.Willi-Hans Steeb and...
In principle, the exponential of a matrix could be computed in many ways. Methods involving approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristic polynomial have been proposed. In practice, consideration of computational stability and efficiency indicates that ...
Nineteen Dubious Ways to Compute the exponential of a matrix, twenty-five years later Moler & Van Loan 的经典论文,关于矩阵指数计算的Review 第二版Moler & Van Loan 的经典论文,关于矩阵指数计算的Review 第二版隐藏>> SIAM REVIEW Vol. 45, No. 1, pp. 3–49 c 2003 Society for Industrial and ...
1.(Mathematics)maths(of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex 2.(Mathematics)mathsraised to the power of e, the base of natural logarithms. Symbol:exp ...
The matrix exponential is a very important subclass of functions of matrices that has been studied extensively in the last 50 years. In this thesis, we discuss some of the more common matrix functions and their general properties, and we specifically explore the matrix exponential. In principle,...
A new method for the calculation ofmatrix exponent; 计算矩阵指数的一种新方法 2. A delay dependent stability criterion for a class of linear large scale time varying system is deduced by employing matrix differential equation theorem andmatrix exponential properties. ...
A novel and simple formula for computing the matrix exponential function is presented. Specifically, it can be used to derive explicit formulas for the matrix exponential of a general matrix satisfying for a polynomial p(s). It is ready for use in a classroom and suitable for both hand as ...
Usually, a gravitational model is used to evaluate the correspondence matrix. The specification and calibration method of the gravity model depends on what ... A Martynenko,A Shevtsov - 《Herald of the Ural State University of Railway Transport》 被引量: 0发表: 2021年 A likelihood ratio test...
be represented bya0,as of yet we have not explicitly given it a meaning (we have only defined what it means to raiseato the power of a positive or negative integer). It might seem that this is a case we should just ignore, for when are we ever going to need a product of zeroa'...
The Matrix Exponential FunctionWe continue our investigation of the asymptotic behavior of dynamical systems described by matrices, which was started in last chapter, now moving to the continuous time case. This means that we...doi:10.1007/978-3-319-42813-0_4András Bátkai...