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A NEW SCALING AND SQUARING ALGORITHM FOR THE MATRIX EXPONENTIAL

SIAM journal on matrix analysis and applications, 2009-01, Vol.31 (3), p.970-989

2009

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Computing matrix functions

Acta numerica, 2010-05, Vol.19, p.159-208

2010

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The complex step approximation to the higher order Fréchet derivatives of a matrix function

Numerical algorithms, 2021-07, Vol.87 (3), p.1061-1074

2021

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Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm

SIAM journal on scientific computing, 2012-01, Vol.34 (4), p.C153-C169

2012

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COMPUTING THE ACTION OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO EXPONENTIAL INTEGRATORS

SIAM journal on scientific computing, 2011-01, Vol.33 (1-2), p.488-511

2011

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New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously

SIAM journal on scientific computing, 2015-01, Vol.37 (1), p.A456-A487

2015

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Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number

SIAM journal on scientific computing, 2013-01, Vol.35 (4), p.C394-C410

2013

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The complex step approximation to the Fréchet derivative of a matrix function

Numerical algorithms, 2010, Vol.53 (1), p.133-148

2010

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An efficient bound for the condition number of the matrix exponential

Journal of Taibah University for Science, 2017-03, Vol.11 (2), p.280-289

Al-Mohy, Awad H.

2017

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A more accurate Briggs method for the logarithm

Numerical algorithms, 2012-03, Vol.59 (3), p.393-402

Al-Mohy, Awad H.

2012

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Conditioning of Matrix Functions at Quasi-Triangular Matrices

SIAM journal on matrix analysis and applications, 2024-01, Vol.45 (2), p.954-966

Al-Mohy, Awad H.

2024

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COMPUTING THE FRÉCHET DERIVATIVE OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO CONDITION NUMBER ESTIMATION

SIAM journal on matrix analysis and applications, 2009-01, Vol.30 (4), p.1639-1657

2009

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A Truncated Taylor Series Algorithm for Computing the Action of Trigonometric and Hyperbolic Matrix Functions

SIAM journal on scientific computing, 2018-01, Vol.40 (3), p.A1696-A1713

Al-Mohy, Awad H.

2018

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Generalized complex step approximation to estimate the first and second order Fréchet derivative of matrix functions

Filomat, 2022, Vol.36 (16), p.5603-5614

2022

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Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative

SIAM journal on matrix analysis and applications, 2022-03, Vol.43 (1), p.233-256

2022

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Algorithms for the Matrix Exponential and Its Fréchet Derivative

Al-Mohy, Awad H

2011

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A NEW SCALING AND SQUARING ALGORITHM FOR THE MATRIX EXPONENTIAL

Computing matrix functions

The complex step approximation to the higher order Fréchet derivatives of a matrix function

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm

COMPUTING THE ACTION OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO EXPONENTIAL INTEGRATORS

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously

Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number

The complex step approximation to the Fréchet derivative of a matrix function

An efficient bound for the condition number of the matrix exponential

A more accurate Briggs method for the logarithm

Conditioning of Matrix Functions at Quasi-Triangular Matrices

COMPUTING THE FRÉCHET DERIVATIVE OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO CONDITION NUMBER ESTIMATION

A Truncated Taylor Series Algorithm for Computing the Action of Trigonometric and Hyperbolic Matrix Functions

Generalized complex step approximation to estimate the first and second order Fréchet derivative of matrix functions

Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative

Algorithms for the Matrix Exponential and Its Fréchet Derivative

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