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Local inverse, the Glossary

Index Local inverse

The local inverse is a kind of inverse function or matrix inverse used in image and signal processing, as well as in other general areas of mathematics.[1]

Table of Contents

  1. 6 relations: Extrapolation, Generalized inverse, Interior reconstruction, Inverse function, Invertible matrix, Iterative refinement.

  2. Inverse functions

In mathematics, extrapolation is a type of estimation, beyond the original observation range, of the value of a variable on the basis of its relationship with another variable.

See Local inverse and Extrapolation

Generalized inverse

In mathematics, and in particular, algebra, a generalized inverse (or, g-inverse) of an element x is an element y that has some properties of an inverse element but not necessarily all of them.

See Local inverse and Generalized inverse

Interior reconstruction

In iterative reconstruction in digital imaging, interior reconstruction (also known as limited field of view (LFV) reconstruction) is a technique to correct truncation artifacts caused by limiting image data to a small field of view.

See Local inverse and Interior reconstruction

Inverse function

In mathematics, the inverse function of a function (also called the inverse of) is a function that undoes the operation of. Local inverse and inverse function are inverse functions.

See Local inverse and Inverse function

Invertible matrix

In linear algebra, an -by- square matrix is called invertible (also nonsingular, nondegenerate or rarely regular) if there exists an -by- square matrix such that\mathbf.

See Local inverse and Invertible matrix

Iterative refinement

Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations.

See Local inverse and Iterative refinement

See also

Inverse functions

References

[1] https://en.wikipedia.org/wiki/Local_inverse