Quadratic forms

Positive definiteness

In mathematics, positive definiteness is a property of any object to which a bilinear form or a sesquilinear form may be naturally associated, which is positive-definite. See, in particular: * Positive-definite bilinear form * Positive-definite function * Positive-definite function on a group * Positive-definite functional * Positive-definite kernel * Positive-definite matrix * Positive-definite quadratic form (Wikipedia).

Video thumbnail

Why Does a Negative Times a Negative Equal a Positive

This tutorial uses basic math and logic to demonstrate that a negative times a negative equals a positive. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist Basic Math

Video thumbnail

(ML 19.5) Positive semidefinite kernels (Covariance functions)

Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.

From playlist Machine Learning

Video thumbnail

Ex: Simplifying the Opposites of Negatives Integers

This video provides several examples of simplifying opposites of negative integers. Search Complete Video Library at http://www.mathispower4u.wordpress.com

From playlist Introduction to Integers

Video thumbnail

Ex: Definite Integrals as Area Given a Graph (Function)

This video explains how to evaluate a definite integral given the graph of a function and the area bounded by the function and the x-axis. The function is above and below the x-axis. Site: http://mathispower4u

From playlist Definite Integrals and The Fundamental Theorem of Calculus

Video thumbnail

Symmetric Matrices and Positive Definiteness

MIT 18.06SC Linear Algebra, Fall 2011 View the complete course: https://ocw.mit.edu/18-06SCF11 Instructor: David Shirokoff A teaching assistant works through a problem on symmetric matrices and positive definiteness. License: Creative Commons BY-NC-SA More information at https://ocw.mit.

From playlist MIT 18.06SC Linear Algebra, Fall 2011

Video thumbnail

Proving a Negative Times a Negative Is a Positive with the Distributive Property

When you're multiplying integers and especially when you begin multiplying negative numbers, one of the first questions that comes up for students is why does a negative times a negative equal a positive? There are lots of ways to show it, and a couple of my favorites are: + Multiplicatio

From playlist Math Mini

Video thumbnail

Definite & Indefinite Quadratics (3 of 3: Working the Inequalities)

More resources available at www.misterwootube.com

From playlist Working with Functions

Video thumbnail

Negative Numbers - Core N2a

A look at why negative numbers multiply and divide to get positive products or quotients.

From playlist Core Standards - 7th Grade Math

Video thumbnail

Lec 7 | MIT 18.085 Computational Science and Engineering I, Fall 2008

Lecture 07: Positive definite day! License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008

Video thumbnail

The LDU and LDLᵀ Decompositions and the Implications for Positive Definiteness

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 4 Linear Algebra: Inner Products

Video thumbnail

5. Positive Definite and Semidefinite Matrices

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k In this lecture, P

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

Video thumbnail

Positive Definite Matrices

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang A positive definite matrix has positive eigenvalues, positive pivots, positive determinants, and posit

From playlist MIT Learn Differential Equations

Video thumbnail

What Does It Mean For a Matrix to be POSITIVE? The Practical Guide to Semidefinite Programming(1/4)

Video series on the wonderful field of Semidefinite Programming and its applications. In this first part, we explore the question of how we can generalize the notion of positivity to matrices. -------------------------- Timestamps: 0:00 Intro 0:41 Questions 2:50 Definition 6:09 PSD vs

From playlist Semidefinite Programming

Video thumbnail

Positive definite kernels on spheres by E K Narayanan

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

Video thumbnail

27. Positive Definite Matrices and Minima

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 27. Positive Definite Matrices and Minima License: Creative Commons BY-NC-SA More information

From playlist MIT 18.06 Linear Algebra, Spring 2005

Video thumbnail

A Criterion for Positive Definiteness of a Symmetric Matrix

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 4 Linear Algebra: Inner Products

Video thumbnail

Positive Operators

Positive operators. Square roots of operators. Characterization of positive operators. Each positive operator has a unique positive square root.

From playlist Linear Algebra Done Right

Related pages

Positive-definite function on a group | Bilinear form | Sesquilinear form | Positive-definite function | Mathematics | Positive-definite kernel