Monthly Archives: March 2020

What Is a Matrix?

A matrix is a rectangular array of numbers on which certain algebraic operations are defined. Matrices provide a convenient way of encapsulating many numbers in a single object and manipulating those numbers in useful ways. An matrix has rows and … Continue reading

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Update of Catalogue of Software for Matrix Functions

Edvin Hopkins and I have updated to version 3.0 the catalogue of software for matrix functions that we originally produced in 2014 and updated in 2016. It covers what is available in various languages (C++, Fortran, Java, Julia, Python, Rust), … Continue reading

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What Is Backward Error?

Backward error is a measure of error associated with an approximate solution to a problem. Whereas the forward error is the distance between the approximate and true solutions, the backward error is how much the data must be perturbed to … Continue reading

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What Is a Condition Number?

A condition number of a problem measures the sensitivity of the solution to small perturbations in the input data. The condition number depends on the problem and the input data, on the norm used to measure size, and on whether … Continue reading

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“What Is” Series

I am starting a series of “What Is” posts. These will give brief descriptions of important concepts in numerical analysis and related areas, with a focus on topics that arise in my research. I will try to adhere to the … Continue reading

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