Determinants | Approximation theory | Numerical linear algebra | Matrices

Hilbert matrix

In linear algebra, a Hilbert matrix, introduced by Hilbert, is a square matrix with entries being the unit fractions For example, this is the 5 × 5 Hilbert matrix: The Hilbert matrix can be regarded as derived from the integral that is, as a Gramian matrix for powers of x. It arises in the least squares approximation of arbitrary functions by polynomials. The Hilbert matrices are canonical examples of ill-conditioned matrices, being notoriously difficult to use in numerical computation. For example, the 2-norm condition number of the matrix above is about 4.8×105. (Wikipedia).

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Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

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Understanding Matrices and Matrix Notation

In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start

From playlist Mathematics (All Of It)

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Matrix addition

How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y

From playlist Introducing linear algebra

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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Inverse of Matrix 2 x 2 Case

What is an inverse matrix and how do I calculate it? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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9A_3 The Inverse of a Matrix Using the Identity Matrix

Continuation of the use of an identity matrix to calculate the inverse of a matrix

From playlist Linear Algebra

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The Identity Matrix

This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Introduction to Matrices and Matrix Operations

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Elementary matrices

In this tutorial we take a look at elementary matrices. They start life off as identity matrices to which a single elementary row operation is performed. They form the building blocks of Gauss-Jordan elimination. In a future video we will use the to do LU decomposition of matrices.

From playlist Introducing linear algebra

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Mod-01 Lec-21 Projection Theorem in a Hilbert Spaces (Contd.) and Approximation

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

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The computational theory of Riemann–Hilbert problems (Lecture 4) by Thomas Trogdon

Program : Integrable Systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan Lecture Hall, ICT

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems

The title of the lecture is shortened to comply with Youtubes' title policy. The original title of this lecture is "Rigorous semiclassical asymptotics for integrable systems:The KdV and focusing NLS cases". Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Sa

From playlist Abel Lectures

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Hans G. Feichtinger: Mathematical and numerical aspects of frame theory - Part 2

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

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9A_4 The Inverse of a Matrix Using the Determinant

Calculating the inverse of a matrix by use of the determinant of the matrix

From playlist Linear Algebra

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Matrix Entanglement by Vaibhav Gautam

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

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Diffusion and superdiffusion from hydrodynamic projection by Benjamin Doyon

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is

From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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Douglas Lundholm - Spectrum and Ground States of MembraneMatrix Models

https://indico.math.cnrs.fr/event/4272/attachments/2260/2716/IHESConference_Douglas_LUNDHOLM.pdf

From playlist Space Time Matrices

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Quantum Circuit Cosmology - S. Carroll - Workshop 1 - CEB T3 2018

Sean Carroll (California Institute) / 17.09.2018 Quantum Circuit Cosmology ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPo

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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An introduction to Invariant Theory - Harm Derksen

Optimization, Complexity and Invariant Theory Topic: An introduction to Invariant Theory Speaker: Harm Derksen Affiliation: University of Michigan Date: June 4, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Principal axes theorem + orthogonal matrices

Free ebook http://tinyurl.com/EngMathYT A basic introduction to orthogonal matrices and the principal axes theorem. Several examples are presented involving a simplification of quadratic (quadric) forms. A proof is also given.

From playlist Engineering Mathematics

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Complete Statistical Theory of Learning (Vladimir Vapnik) | MIT Deep Learning Series

Lecture by Vladimir Vapnik in January 2020, part of the MIT Deep Learning Lecture Series. Slides: http://bit.ly/2ORVofC Associated podcast conversation: https://www.youtube.com/watch?v=bQa7hpUpMzM Series website: https://deeplearning.mit.edu Playlist: http://bit.ly/deep-learning-playlist

From playlist AI talks

Related pages

Approximation theory | Cauchy matrix | Polynomial | Numerical analysis | Stirling's approximation | Method of moments (statistics) | Binomial coefficient | Glaisher–Kinkelin constant | Linear algebra | Closed-form expression | Determinant | Factorial | Square matrix | Condition number | Unit fraction | Hankel matrix | Least squares | Symmetric matrix