Computational graphs for matrix functions

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Efficient mixed rational and polynomial approximation of matrix functions
Accurate matrix exponential computation to solve coupled differential models in engineering
Computing real square roots of a real matrix
A Schur method for the square root of a matrix
A recurrence among the elements of functions of triangular matrices
The matrix sign function and computations in systems
Efficient evaluation of matrix polynomials
Computing the matrix sine and cosine simultaneously with a reduced number of products
Boosting the computation of the matrix exponential
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation
Optimality of the Paterson-Stockmeyer method for evaluating matrix polynomials and rational matrix functions
Fast Taylor polynomial evaluation for the computation of the matrix cosine
Efficient computation of the matrix cosine
Iterative Berechnung der reziproken Matrix.
Julia: A Fresh Approach to Numerical Computing
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
MPFR
A New Scaling and Squaring Algorithm for the Matrix Exponential
Nineteen Dubious Ways to Compute the Exponential of a Matrix
Computing the Wave-Kernel Matrix Functions
Accuracy and Stability of Numerical Algorithms
Unconstrained Optimization of Real Functions in Complex Variables
An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential
New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
The Scaling and Squaring Method for the Matrix Exponential Revisited
The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
Learning representations by back-propagating errors
Multiprecision Algorithms for Computing the Matrix Logarithm
Functions of Matrices
On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
Calculating elements of matrix functions using divided differences

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