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Next generation Newton-type methods with minimum residual solver

Project summary

Program
PhD
Location
St Lucia
Research area
Information and computing sciences, Mathematical sciences

Project description

Optimisation methods play a crucial role in many applications. Among them, Newton-type algorithms hold a special place due to their desirable properties. However, the underlying challenge remains effective solution of their complex sub-problems. Leveraging recent advances in numerical linear algebra, this project aims to address this challenge directly and revolutionise Newton-type algorithms for diverse optimisation scenarios. The project is expected to pioneer new theory and open-source implementations that hold the potential to reshape the landscape of optimisation research. Among the benefits are facilitating the development of effective optimisation algorithms for machine learning and enhancing knowledge extraction from modern datasets.

Scholarship

This project is supported by the Research project scholarship.

This scholarship includes:

  • living stipend of $37,500 per annum tax free (2026 rate), indexed annually
  • tuition fees covered.

This scholarship includes:

  • living stipend of $37,500 per annum tax free (2026 rate), indexed annually
  • tuition fees covered.

Learn more about the Research project scholarship.

Supervisor

Preferred educational background

Your application will be assessed on a competitive basis.

We take into account your:

  • previous academic record
  • publication record
  • honours and awards
  • employment history.

A working knowledge of linear algebra, optimisation theory, Python programming, and machine learning would be of benefit to someone working on this project.

You will demonstrate academic achievement in the fields of mathematics, computer science, or engineering and the potential for scholastic success.

A background or knowledge of mathematical optimisation, numerical linear algebra, scientific computing and programming (Python) is highly desirable.

How to apply

You must submit an expression of interest (EOI) by 31 January, 2026 31 January, 2026.

Before you apply

  1. Check your eligibility for the Doctor of Philosophy (PhD).
  2. Prepare your documentation.
  3. If you have any questions about whether the project is suitable for your research interests, contact Professor Fred Roosta (fred.roosta@uq.edu.au).

When you apply

To apply, submit an expression of interest (EOI) for the program. You don't need to apply separately for the project or scholarship. How to submit an EOI

In your EOI, complete the ‘Scholarship/Sponsorship’ section with the following details:

  1. Are you applying for an advertised project: 'Yes'
  2. Project: 'Research project scholarship'
  3. Scholarship Code Listed in the Advertisement: NEWTON-ROOSTA
  4. Link to Scholarship Advertisement: https://study.uq.edu.au/study-options/phd-mphil-professional-doctorate/projects/next-generation-newton-type-methods-minimum-residual-solver

Submit an EOI

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