Quadratic function

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Related lectures (31)

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Pseudo-Euclidean Spaces: Isometries and Bases

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Linear Quadratic (LQ) Optimal Control: Proof of Theorem

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Classification of Quadratic Forms

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

Hermitian Spaces: Theory and Applications

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Optimization methods

Covers optimization methods, focusing on gradient methods and line search techniques.

Quadratic Forms and Symmetric Bilinear Forms

Explores quadratic forms, symmetric bilinear forms, and their properties.

Ray Tracing: Fundamentals

Covers the basics of ray tracing, including ray generation, intersection with geometric shapes, and distance calculations to planes, setting the foundation for implementing a ray tracer.

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Equations and Inequalities on the Reals

Covers algebraic identities, linear equations, and rational inequations on the real numbers.