A Schur--Fréchet Algorithm for Computing the Logarithm and Exponential of a Matrix

Topics in Matrix Analysis

1991 • 9,468 citations

The Theory of Matrices

1984 • 8,921 citations

A table of integrals

1917 • 7,316 citations

Kronecker Products and Matrix Calculus: With Applications

1981 • 1,671 citations

The Special Functions and Their Approximations

1972 • 1,557 citations

Nineteen Dubious Ways to Compute the Exponential of a Matrix

1978 • 1,534 citations

Essentials of Padé approximants

1975 • 1,055 citations

Qualitative Theory of Ordinary Differential Equations. An Introduction.

1971 • 451 citations

The Historical Development of the Calculus

1979 • 406 citations

Numerical Computation of the Matrix Exponential with Accuracy Estimate

1977 • 230 citations

A History of Numerical Analysis from the 16th through the 19th Century

1977 • 203 citations

Derivatives of the Matrix Exponential and Their Computation

1995 • 201 citations

The matrix sign function

1995 • 197 citations

Computing real square roots of a real matrix

1987 • 196 citations

On the existence and uniqueness of the real logarithm of a matrix

1966 • 161 citations

A Schur method for the square root of a matrix

1983 • 148 citations

Condition Estimates for Matrix Functions

1989 • 131 citations

A recurrence among the elements of functions of triangular matrices

1976 • 109 citations

Small-Sample Statistical Condition Estimates for General Matrix Functions

1994 • 109 citations

A Schur method for the square root of a matrix

1983 • 67 citations

Computational Techniques for Real Logarithms of Matrices

1996 • 66 citations

Padé error estimates for the logarithm of a matrix

1989 • 50 citations

Evaluating the Frechet derivative of the matrix exponential

1992 • 36 citations

Approximation of Matrix-Valued Functions

1993 • 34 citations

Integral representation of the logarithm of matrices and operators

1965 • 29 citations

Transformation algorithm for identification of continuous-time multivariable systems from discrete data

1981 • 27 citations

Condition Estimation for Matrix Functions via the Schur Decomposition

1995 • 21 citations

Infinite series for logarithm of matrix, applied to identification of linear continuous-time multivariable systems from discrete-time models

1991 • 15 citations

Logarithms of matrices

1968 • 15 citations