Matrix multiplication algorithms | Articles containing proofs | Matrix theory | Randomized algorithms
Freivalds' algorithm (named after Rūsiņš Mārtiņš Freivalds) is a probabilistic randomized algorithm used to verify matrix multiplication. Given three n × n matrices , , and , a general problem is to verify whether . A naïve algorithm would compute the product explicitly and compare term by term whether this product equals . However, the best known matrix multiplication algorithm runs in time. Freivalds' algorithm utilizes randomization in order to reduce this time bound to with high probability. In time the algorithm can verify a matrix product with probability of failure less than . (Wikipedia).
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
Steffensen's Method for Systems of Nonlinear Equations
Generalized Steffensen's Method for Simultaneous Nonlinear Systems originally credited to J. F. Traub. Video shows how to solve nonlinear systems by approximating the Jacobian. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Prerequisites 0:20 Intro 0:
From playlist Solving Systems of Nonlinear Equations
New Story | Beautiful Chill Mix
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From playlist ML Music
Gaussian Integral 7 Wallis Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the
From playlist Gaussian Integral
Differential Equations | Frobenius' Method -- Example 1
From the desert, we present an example of a Frobenius series solution to a second order homogeneous differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Series Solutions for Differential Equations
Differential Equations | Frobenius' Method part 2
From Garden of the Gods in Colorado Springs, we present a Theorem regarding Frobenius Series solutions to a certain family of second order homogeneous differential equations. An example is also explored. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Series Solutions for Differential Equations
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
Power series solution to differential equations: a tutorial
Free ebook http://tinyurl.com/EngMathYT How to solve differential equations using power series. An example is discussed involving the method of Frobenius where linear differential equation (with variable coefficients) is solved by using a power series. The ideas are seen in university
From playlist A second course in university calculus.
This is one of my all-time favorite differential equation videos!!! :D Here I'm actually using the Wronskian to actually find a nontrivial solution to a second-order differential equation. This is amazing because it brings the concept of the Wronskian back to life! And as they say, you won
From playlist Differential equations
What Is An Algorithm? | What Exactly Is Algorithm? | Algorithm Basics Explained | Simplilearn
This video explains what is an algorithm in the data structure. This Simplilearn's What Is An Algorithm? tutorial will help beginners to understand what exactly is an algorithm with an example. All of the algorithm basics are explained in this video. Following topics covered in this vi
From playlist Data Structures & Algorithms [2022 Updated]
Sorting Algorithms Full Course | Sorting Algorithms In Data Structures Explained | Simplilearn
This Simplilearn video is based on The Sorting Algorithms Full Course. This tutorial mainly focuses on all the major Sorting Algorithms In Data Structures Explained with detailed theory and practical examples for providing a better learning experience. This video covers the following Sort
From playlist Simplilearn Live
Lecture 1 - Introduction to Algorithms
This is Lecture 1 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 2007. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/2007/lecture1.pdf More informati
From playlist CSE373 - Analysis of Algorithms - 2007 SBU
Lecture 1 - Introduction to Algorithms
This is Lecture 1 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture1.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
What Is An Algorithm ? | Introduction to Algorithms | How To Write An Algorithm? | Simplilearn
This video is based on What Is An Algorithm ? The Introduction to Algorithms tutorial will explain to you How To Write An Algorithm? and it will cover the following topics ✅00:00- Introduction to Algorithms ✅01:46- What Is an Algorithm? The algorithm is a step-by-step procedure or set o
From playlist C++ Tutorial Videos
Stanford Seminar - Participating and Designing around Algorithmic Sociotechnical Systems
Motahhare Eslami Carnegie Mellon University October 4, 2019 Algorithms play a vital role in curating online information in socio-technical systems, however, they are usually housed in black-boxes that limit users' understanding of how an algorithmic decision is made. While this opacity pa
From playlist Stanford Seminars
Ellen Vitercik: "How much data is sufficient to learn high-performing algorithms?"
Deep Learning and Combinatorial Optimization 2021 "How much data is sufficient to learn high-performing algorithms?" Ellen Vitercik - Carnegie Mellon University Abstract: Algorithms often have tunable parameters that have a considerable impact on their runtime and solution quality. A gro
From playlist Deep Learning and Combinatorial Optimization 2021
Data structure intuition is something that develops naturally for most software developers. In all languages, we rely heavily on standard containers and collections. Need fast insertion/lookup? Hashmap. Need a sorted data structure that stores unique values? Set. Duplicate values? Multiset
From playlist C++
The Frobenius Problem - Method for Finding the Frobenius Number of Two Numbers
Goes over how to find the Frobenius Number of two Numbers.
From playlist ℕumber Theory