Numerical analysis | Optimization algorithms and methods

Successive parabolic interpolation

Successive parabolic interpolation is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to a function of one variable at three unique points or, in general, a function of n variables at 1+n(n+3)/2 points, and at each iteration replacing the "oldest" point with the extremum of the fitted parabola. (Wikipedia).

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Prealgebra Lecture 4.3: How to Multiply and Divide Fractions

https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions

From playlist Prealgebra (Full Length Videos)

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Multiplying Matrices

This precalculus video tutorial provides a basic introduction into multiplying matrices. It explains how to tell if you can multiply two matrices together and how to determine the order of the new matrix. The order of the new matrix is based on the rows of the first matrix and the number

From playlist New Precalculus Video Playlist

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Multiplying Decimals

This video focuses on how to multiply decimals. In particular, I teach students the concept of moving the decimal appropriately when multiplying decimal terms. In addition, show students how to use estimation strategies in the event that they forget the technique for multiplying decimals.

From playlist PreAlgebra

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Brent's Minimization Method

Hybrid minimization algorithm combining Golden-section Search and Successive Parabolic Interpolation (Jarratt's Method) that is guaranteed to locate minima with superlinear convergence order. Example code https://github.com/osveliz/numerical-veliz Chapters: 0:00 Intro 0:16 Scaffolding 0:3

From playlist Numerical Methods

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Prealgebra Lecture 4.3 Part 8

Prealgebra Lecture 4.3 Part 8: Multiplying and Dividing Fractions

From playlist Prealgebra Playlist 1

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Lecture: Unconstrained Optimization (Derivative-Free Methods)

We introduce some of the basic techniques of optimization that do not require derivative information from the function being optimized, including golden section search and successive parabolic interpolation.

From playlist Beginning Scientific Computing

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How to subtract two vectors with scalars

Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the

From playlist Vectors

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How to subtract two vectors with scalars

Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the

From playlist Vectors

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How to Multiply Two Monomials by a Trinomial and Binomial

👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.

From playlist How to Multiply Polynomials

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Adding a Polynomials That Need to be Multiplied First

👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.

From playlist How to Multiply Polynomials

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Successive Parabolic Interpolation - Jarratt's Method

Optimization method for finding extrema of functions using three points to create a parabola that is then used to find the next approximation to the solution. This lesson visualizes the behavior of the method with numeric examples as well as its convergence through fractals. Based off the

From playlist Numerical Methods

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Reinhold Schneider: "Solving Backward Stochastic Differential Equation & HJB equations with Tree..."

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Solving Backward Stochastic Differential Equation and Hamilton Jacobi Bellmann (HJB) equations with Tree Based Tensor Networ

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Prealgebra Lecture 4.7: Operations With Mixed Number Fractions

https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.7: Operations With Mixed Number Fractions

From playlist Prealgebra (Full Length Videos)

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Two-Scale Models in Porous Media: Modeling, Analysis ... (Lecture 1) by Hari Shankar Mahato

PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa

From playlist Multi-scale Analysis And Theory Of Homogenization 2019

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Alessandro Goffi: "Some new regularity results for viscous Hamilton-Jacobi equations with unboun..."

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Some new regularity results for viscous Hamilton-Jacobi equations with unbounded right-hand side" Alessandro Goffi - Università di Padova Abstract: The talk will be devoted to the study of regular

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Lecture: Data Fitting with Matlab

We develop a MATLAB code that implements all the theoretical methods considered for curve fitting: least-square fits, polynomial fits and splines.

From playlist Beginning Scientific Computing

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Seminar In the Analysis and Methods of PDE (SIAM PDE): Felix Otto

Date: September 3, 2020 Speaker: Felix Otto Title: The thresholding scheme for mean curvature flow and De Giorgi's ideas for gradient flows Abstract: Flow of interfaces by mean curvature, in its multi-phase version, was first formulated in the context of grain growth in polycrystalline

From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)

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Subtract two vectors algebraically and numerically

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors. #trigonometry#vectors #vectors

From playlist Vectors

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p-adic L-functions for GSp(4)\times GL(2) by Zheng Liu

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

Related pages

Line search | Degeneracy (mathematics) | Root of a function | Derivative | Newton's method in optimization | Simpson's rule | Gradient descent | Parabola | Inverse quadratic interpolation