Differencial equations for the analytic singular value decomposition of a matrix.

A new technique for computing analytic SVD is proposed. The idea is to follow branches for just one selected singular value and the corresponding left/right singular vector.

Computing singular solutions to nonlinear analytic systems.

A.P. Morgan, A.J. Sommese, ... (1990/91)

Numerische Mathematik

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On the hyper-order of analytic solutions of linear differential equations near a finite singular point

Meryem Chetti, Karima Hamani (2024)

Mathematica Bohemica

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We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.

The conjugate of a singular functional differential operator.

Hall, L.M. (1978)

International Journal of Mathematics and Mathematical Sciences

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Incomplete Data Problems in X-Ray Computerized Tomography. I. Singular Value Decomposition of the Limited Angle Transform.

Alfred K. Louis (1986)

Numerische Mathematik

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Singular sets of separately analytic functions

Józef Siciak (1990)

Colloquium Mathematicae

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Projection Method for Solving a Singular System of Linear Equations and its Applications.

K. TANABE (1971)

Numerische Mathematik

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