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Numerical algorithms

  • School / Prep

    ENSEIRB-MATMECA

Internal code

EI9IF345

Description

The aim of the course is to explore methods for solving dense linear algebra problems in a high-performance computing context. Particular attention will be paid to the (re)formulation of these algorithms in a parallel context, in connection with scheduling and load balancing courses, but also in the context of advanced programming models.

Linear systems

Triangular factorizations (Cholesky, LU, ...)
Solving triangular systems
Using orthogonal bases (QR)


Singular/own value decomposition
Introduction to tensors

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Teaching hours

  • CIIntegrated courses14,66h
  • TDTutorial2,67h

Mandatory prerequisites

Notion of numerical algorithms

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Further information

Dense linear algebra: parallel and distributed algorithms.

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Assessment of knowledge

Initial assessment / Main session - Tests

Type of assessmentType of testDuration (in minutes)Number of testsTest coefficientEliminatory mark in the testRemarks
Final inspectionArticle ReadingReading of an article with a report in the form of a presentation to the whole class.