2 citations · 2 across the 7 of their papers we have counts for
10 papers
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…
POSEAMM: A Unified Framework for Solving Pose Problems using an Alternating Minimization Method
Joao Campos, Joao R. Cardoso, Pedro Miraldo
Pose estimation is one of the most important problems in computer vision. It can be divided in two different categories -- absolute and relative -- and may involve two different ty…
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 Generalized Essential Matrix Correction: An efficient solution to the problem and its applications
Pedro Miraldo, Joao R. Cardoso
This paper addresses the problem of finding the closest generalized essential matrix from a given matrix, with respect to the Frobenius norm. To the best of our knowled…
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…
Plücker Correction Problem: Analysis and Improvements in Efficiency
João R. Cardoso, Pedro Miraldo, Helder Araujo
A given six dimensional vector represents a 3D straight line in Plucker coordinates if its coordinates satisfy the Klein quadric constraint. In many problems aiming to find the Pl…
An Explicit Formula for the Matrix Logarithm
Joao R. Cardoso
We present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment joining the identity matrix $I…