DOI10.1137/080716426zbMath1180.65049OpenAlexW1983407330MaRDI QIDQ3642851
Awad H. Al-Mohy, Nicholas J. Higham
Publication date: 6 November 2009
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://eprints.maths.manchester.ac.uk/1218/1/alhi09.pdf
Learning linear assignment flows for image labeling via exponential integration,
A Taylor expansion of the square root matrix function,
The complex step approximation to the Fréchet derivative of a matrix function,
Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices,
Interpolation on symmetric spaces via the generalized polar decomposition,
On iterative algorithm and perturbation analysis for the nonlinear matrix equation,
Geometry-aware principal component analysis for symmetric positive definite matrices,
Conditioning and relative error propagation in linear autonomous ordinary differential equations,
Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds,
Calculating a function of a matrix with a real spectrum,
Structured condition number for a certain class of functions of non-commuting matrices,
Iterative Computation of the Fréchet Derivative of the Polar Decomposition,
A Unifying Framework for Higher Order Derivatives of Matrix Functions,
The Fréchet derivative of the tensor t-function,
Jordan-Schur algorithms for computing the matrix exponential,
On the stability of some algorithms for computing the action of the matrix exponential,
Norm and Trace Estimation with Random Rank-one Vectors,
Propagation of perturbations in the initial value along solutions of linear ODEs: a componentwise relative error analysis,
Computation of matrix gamma function,
Scaled and Squared Subdiagonal Padé Approximation for the Matrix Exponential,
Conditioning of the matrix-matrix exponentiation,
The complex step approximation to the higher order Fréchet derivatives of a matrix function,
Multivariate tensor-based morphometry with a right-invariant Riemannian distance on \(\mathrm{GL}^+(n)\),
Estimating the condition number of \(f(A)b\),
Testing Matrix Function Algorithms Using Identities,
How perturbations in the matrix of linear systems of ordinary differential equations propagate along solutions,
Variational discretizations of gauge field theories using group-equivariant interpolation,
On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\),
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
