Numerical linear algebra | Invariant subspaces | Operator theory

Krylov subspace

In linear algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under the first r powers of A (starting from ), that is, (Wikipedia).

Video thumbnail

Luftwaffe BF110 Zerstorer - Battle of Kursk Aug 1943

Bf110 aircraft at the Battle of Kursk.

From playlist WW2 aircrafts

Video thumbnail

DMRG -- Day 2

Today, we diagonialized some matrices, if you know what I mean... It was meant literally. That was what we did. -- Watch live at https://www.twitch.tv/simuleios

From playlist DMRG

Video thumbnail

Lecture 12 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd finishes his talk on Sequential Convex Programming and begins a lecture on Conjugate Gradient Methods. This course introduces topics such as subgradie

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Lec 19 | MIT 18.086 Mathematical Methods for Engineers II

Conjugate Gradient Method View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

Video thumbnail

PIC Math - Creating More Realistic Animation for Movies - Segment II

Prof. Joseph Teran of the Department of Mathematics at UCLA gives an overview of the numerical linear algebra and iterative method techniques that are used to simulate physical phenomena such as water, fire, smoke, and elastic deformations in the movie and gaming industries.

From playlist PIC Math 2015 - Industrial Math Case Studies

Video thumbnail

The Loss Landscape of Deep Neural Networks by Shankar Krishnan

DISCUSSION MEETING THE THEORETICAL BASIS OF MACHINE LEARNING (ML) ORGANIZERS: Chiranjib Bhattacharya, Sunita Sarawagi, Ravi Sundaram and SVN Vishwanathan DATE : 27 December 2018 to 29 December 2018 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore ML (Machine Learning) has enjoyed tr

From playlist The Theoretical Basis of Machine Learning 2018 (ML)

Video thumbnail

Deadly Russian Ground Forces Military Vehicles 3D

𝐓-πŸπŸ“ π€π«π¦πšπ­πš 𝐑𝐚𝐬 𝐚𝐫𝐫𝐒𝐯𝐞𝐝 ! πˆππ“π‘πŽπƒπ”π‚π“πˆπŽπ The Ground Forces of the Russian Federation are the land forces of the Russian Armed Forces. The primary responsibilities of the Russian Ground Forces are the protection of the state borders, combat on land, the security of occupied territories, and

From playlist Comparison

Video thumbnail

Why The Soviet Union Flooded This Belltower

Since 1939, a flooded bell tower near the small Russian town of Kalyazin has played the role of the nautical marker, an artificial island in an artificial lake, swim area, and tourist draw. While still, a solid structure visited by tourists and occasionally hosts Orthodox Christian ceremon

From playlist IT'S HISTORY Feature Videos

Video thumbnail

Lecture 13 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd continues his lecture on Conjugate Gradient Methods and then starts lecturing on the Truncated Newton Method. This course introduces topics such as su

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Russian KL-1 Circular "Slide Rule" (1/2 -- basics)

The Russian KL-1 Circular "Slide Rule" is not really a slide rule at all! In this video I explain the difference but also, how to use it. I assume some familiarity with slide rules, so if you're lost, watch the first video from my playlist below. This is the first video of two on the KL-1.

From playlist All Slide Rule Videos

Video thumbnail

Laura Grigori: Challenges in achieving scalable and robust linear solvers

This talk focuses on challenges that we address when designing linear solvers that aim at achieving scalability on large scale computers, while also preserving numerical robustness. We will consider preconditioned Krylov subspace solvers. Getting scalability relies on reducing global synch

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

Metallica - The Call of Ktulu (HD)

No lyrics this time, but you can still enjoy this amazing piece of art. R.I.P Cliff :( Enjoy! Oh, and make sure to check out the other Metallica videos on my channel - Rock on \m/

From playlist Brilliant Music

Video thumbnail

The remote 'democratic' oasis of Soviet Russia - BBC REEL

The academic town of Akademgorodok in Siberia was created by Russian mathematician MikhaΓ―l AlekseΓ―evitch Lavrentiev, who wanted to install a safe haven for scientists in the middle of Siberia. Such isolation from Moscow created a fertile scientific and cultural nest away from the influence

From playlist Secret Worlds

Video thumbnail

Krushuna Waterfalls with special guest Lora [Vlog 70]

Last week Lora and I visited one of the most beautiful #waterfalls in Bulgaria - #Krushuna Falls! Join us for some exploration and sick b-roll sequences. And definitely put Krushuna on your to-do, it's a must see place! If you like this video, drop a comment, give it a thumbs up and consi

From playlist Travel Videos

Video thumbnail

Peter Benner: "Parallel Algorithms for Tensor Train Arithmetic"

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 "Parallel Algorithms for Tensor Train Arithmetic" Peter Benner - Max Planck Institute for Dynamics of Complex Technical Syste

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

Video thumbnail

Lecture 11: Minimizing β€–xβ€– Subject to Ax = b

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

How The Bolsheviks Crushed A Coup Attempt From The Left - Kronstadt Rebellion I THE GREAT WAR 1921

Sign up for Curiosity Stream and get Nebula bundled in and SAVE 26%: https://curiositystream.com/thegreatwar In early 1921 internal resistance against the Bolsheviks was mounting even among their supporters. The peasants in the cities were struggling from food shortages and some left-wing

From playlist Russian Civil War(s) 1917 - 1923

Video thumbnail

Space Power Stations, Robots, Space Life Structures: Future of Russian Space

Future of Russian Space Program: Reflectors that light up Siberia, Solar Power Stations in orbit, Robots to help build large space structures and the International Space Station. An interview with Vladislav Rutkovsky - pioneer in Soviet space program and repected Control Engineer. Russia

From playlist Russian Engineering

Video thumbnail

12. Computing Eigenvalues and Singular Values

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 Numerical linear a

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

Related pages

Observability | Linear span | Linear subspace | Torsion (algebra) | Linear algebra | Hermitian matrix | Minimal polynomial (linear algebra) | Linear independence | Orthogonalization | Linear dynamical system | Power iteration | Arnoldi iteration | MINRES | Iterative method | Control theory | System of linear equations | Sparse matrix | Gram matrix | Matrix (mathematics) | Controllability