Quadratic Forms With Applications

Subscribe to access this work and thousands more

The scope of Quadratic Form Theory is historically wide although it usually appears almost as an afterthought when needed to solve a variety of problems such as the classification of Hessian matrices in finite dimensional Calculus [1], [2], [3], the finding of invariants that fully describe the equivalence class of a given form in Algebraic Geometry and Number Theory [4], the use of Rayleigh-Ristz methods for finding eigenvalues of real symmetric matrices in Linear Algebra [5], [6], the second order optimality conditions in Optimization Theory [1], [2], [3], the Sturm comparison criteria and the Sturm-Liouville Boundary Value Problems in Differential Equations [5], the kinetic energy or the Hamiltonian in Mechanics.

Subscribe to access this work and thousands more
Overall Rating


5 Star
4 Star
3 Star
2 Star
1 Star

MORENIKEJI, O (2021). Quadratic Forms With Applications. Afribary. Retrieved from https://afribary.com/works/quadratic-forms-with-applications

MLA 8th

MORENIKEJI, OLULANA "Quadratic Forms With Applications" Afribary. Afribary, 15 Apr. 2021, https://afribary.com/works/quadratic-forms-with-applications. Accessed 10 Jun. 2023.


MORENIKEJI, OLULANA . "Quadratic Forms With Applications". Afribary, Afribary, 15 Apr. 2021. Web. 10 Jun. 2023. < https://afribary.com/works/quadratic-forms-with-applications >.


MORENIKEJI, OLULANA . "Quadratic Forms With Applications" Afribary (2021). Accessed June 10, 2023. https://afribary.com/works/quadratic-forms-with-applications