The purpose of this meeting is to bring together recognized international experts, young researchers, postdocs and Ph.D. students working on and around the methods of Numerical Linear Algebra. Linear algebra is central to many questions in numerical analysis and scientific computing. Numerical methods and linear algebra algorithms have a fundamental role in applied mathematics for the approximate solution of problems in various branches of science as well as in engineering.

The design of new algorithms and the improvement of existing ones are the subject of current studies. Their efficient implementation on different types of computer architectures is essential for their success, especially for large computations. Writing libraries of programs for the public domain is also part of the work to be done.

The most recent developments in numerical linear and multilinear algebra including tensor and quaternion analysis, graph theory, methods and techniques for Data Science, low rank approximation, Hadamard matrices, stochastic methods, machine learning, etc., will be treated.

The most relevant aspects of the domain will also be covered: linear algebra, matrix analysis and approximation theory. The history of numerical linear algebra interests many researchers. Besides its intrinsic interest, the rediscovery of old and forgotten methods has led to recent advances.

As can be verified by consulting the latest publications in this field, these are often co-authored by researchers from different countries, which shows the important impact that meetings like this one can have on the development of international research between universities, research centers, and industries.