2017年11月1日 · This kind of exponential comes up frequently in reliability engineering, where X is Λt, where Λ is a failure rate matrix. Being a function of time, it is a "wear" process, as opposed to a …

2014年3月22日 · This definition is used not only because it is related to the real exponential, but also because it allows the definition of the exponential in any Banach algebra (in such space, absolute …

2017年12月6日 · This result can be extended to find what is called the extended normal Jordan form of any real-valued matrix, what make easy the computation of it exponential. Take a look here.

2015年5月20日 · Derivative of matrix exponential w.r.t. to each element of the matrix Ask Question Asked 10 years, 7 months ago Modified 1 year, 10 months ago

2020年5月27日 · So to sum up, the eigenvectors method relies on the form of exponential matrix, but indeed it is usually nicer to apply than obtaining the exponential matrix itself.

where we can define matrix exponentiation to the power of an integer, which is all that is required here. We know that ex e x will converge absolutely for all complex numbers, but do we know that this is …

As per the title, I'd like to calculate the exponential of a matrix which has an antihermitian component and a symmetric component (although this fact may not be useful). More specifically $$\\math...

Matrix exponential of a $3 \times 3$ skew-symmetric matrix without series expansion Ask Question Asked 11 years, 5 months ago Modified 8 months ago

I am currently self-learning about the matrix exponential and found that determining the matrix of a diagonalizable matrix is pretty straight forward :). I do not, however, know how to find the exponential …

2020年4月17日 · Proof of the derivative of a matrix exponential $\frac d {dt} e^ {tA} = Ae^ {tA}$ Ask Question Asked 5 years, 8 months ago Modified 5 years, 8 months ago