2 citations · 2 across the 7 of their papers we have counts for
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Computing the Mittag-Leffler Function of a Matrix Argument
João R. Cardoso
It is well-known that the two-parameter Mittag-Leffler (ML) function plays a key role in Fractional Calculus. In this paper, we address the problem of computing this function, when…
Explicit Solutions of the Singular Yang--Baxter-like Matrix Equation and Their Numerical Computation
Ashim Kumar, João R. Cardoso, Gurjinder Singh
We derive several explicit formulae for finding infinitely many solutions of the equation , when is singular. We start by splitting the equation into a couple of linea…
Solving the Discrete Euler-Arnold Equations for the Generalized Rigid Body Motion
Joao R. Cardoso, Pedro Miraldo
We propose three iterative methods for solving the Moser-Veselov equation, which arises in the discretization of the Euler-Arnold differential equations governing the motion of a g…
A Technique for Improving the Computation of Functions of Triangular Matrices
João R. Cardoso, Amir Sadeghi
We propose a simple technique that, if combined with algorithms for computing functions of triangular matrices, can make them more efficient. Basically, such a technique consists i…
Computation of matrix gamma function
Joao R. Cardoso, Amir Sadeghi
Matrix functions with potential applications have a major role in science and engineering. One of the fundamental matrix functions, which is particularly important due to its conne…
On the conditioning of the matrix-matrix exponentiation
João R. Cardoso, Amir Sadeghi
If has no eigenvalues on the closed negative real axis, and is arbitrary square complex, the matrix-matrix exponentiation is defined as . This func…