Publicado
The Computer Graphics Matrix and a Cube
Use a cube instead of the Utah Teapot in my previous post. I was pleasantly suprised by the final screen shot.... read more...
alrededor de 3 años hace
Publicado
The Matrix at the Heart of Computer Graphics
Matrices like the ones shown in the following screen shots are at the heart of computer graphics. They describe objects...
alrededor de 3 años hace
Publicado
Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
alrededor de 3 años hace
Publicado
Round, With Tie Breakers, A Prototype
In February and March I published three blog posts about an enhancement request for MATLAB concerning tie breakers with the...
más de 3 años hace
Publicado
Computers That I Have Known
Nick Higham's Numerical Linear Algebra group at the University of Manchester is hosting a conference celebrating Jack...
más de 3 años hace
Publicado
Complexity of Computing the Eigenvalues of a Symmetric Matrix
I am giving a five-minute talk today, May 26, at the virtual seminar on Complexity of Matrix Computations. Here are my...
más de 3 años hace
Publicado
Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...
más de 3 años hace
Publicado
Bringing Back the Bucky Ball
The Bucky Ball provides an elegant example of a graph, the connectivity of the Buckminster Fuller geodesic dome.We are also...
más de 3 años hace
Publicado
Solving Commodious Linear Systems
This is about linear systems with fewer equations than variables; A*x = b where the m -by- n matrix A has fewer rows that...
más de 3 años hace
Publicado
Easter Sunday and April Fools
What do the years 2018, 2029 and 2040 have in common? They are the only years in the 21st century when Easter Sunday occurs...
más de 3 años hace
Publicado
“Odd Rock” on Mars Exhibits (Almost) Magic Square
A news story released yesterday, March 31,by c|net has the headline...
más de 3 años hace
Publicado
Mount St. Helens and Matrix Rank
What do Mount St. Helens and the rank of a matrix have in common? The answer is the MATLAB function peaks. Let me explain....
más de 3 años hace
Publicado
Round, With Tie Breakers, Round Three
I recently published Round, With Ties to Even and followed that with Round Two. Then, in an email, Andy Bartlett pointed...
más de 3 años hace
Publicado
Round, With Tie Breakers, Round Two
I published Round, With Ties to Even a couple of days ago. Steve Eddins and Daniel Dolan immediately had substantive...
más de 3 años hace
Publicado
Round, With Ties to Even
We are considering a MATLAB Enhancement Request to support options for round(x) when x is exactly halfway between two...
casi 4 años hace
Publicado
CR and CAB, Rank Revealing Matrix Factorizations
The rank of a linear transformation is a fundamental concept in linear algebra and matrix factorizations are fundamental...
casi 4 años hace
Publicado
Holiday Greetings 2020
I want to share some colorful images featuring the seven colors in the MATLAB axes color order....
casi 4 años hace
Publicado
A Famous Equation, x^2 = 2^x
A recent episode of the popular YouTube channel "blackpenredpen" is about solutions to the famous equation... read more...
casi 4 años hace
Publicado
Paul Saylor, 1939-2020
My friend Paul Saylor passed away on November 7th....
alrededor de 4 años hace
Publicado
Anticipating Official U.S. Census for 2020
On October 13, the U.S. Supreme Court ruled that the U.S. Census Bureau could stop the 2020 census early. Here is a link to...
alrededor de 4 años hace
Publicado
Notes on CR and west0479
My post a few days ago, Gil Strang and the CR Matrix Factorization, generated a lot of email. Here is the resulting...
alrededor de 4 años hace
Publicado
Gil Strang and the CR Matrix Factorization
My friend Gil Strang is known for his lectures from MIT course 18.06, Linear Algebra, which are available on MIT...
alrededor de 4 años hace
Publicado
Two Dubious Ways to Solve A*X = X*B, part 1
Recently, I had email from a student in Italy....
alrededor de 4 años hace
Publicado
Addition to SVD and Partisanship in the U. S. Senate
I have added this section to my post a few weeks ago about using the SVD to measure partisanship in the United States...
alrededor de 4 años hace
Publicado
SVD Quantifies Increasing Partisanship in the U. S. Senate
Many observers have noted that the United States Senate has become increasingly partisan in recent years. Votes are being...
más de 4 años hace
Publicado
Collatz Inequality and Singleton Expansion
I've blogged about this gem from Lothar Collatz (1910-1990) before, but it deserves to be repeated. Especially since it now...
más de 4 años hace
Publicado
Serendipity, Kuramoto, Colleagues and Backslash
Alexa tells me that the definition of serendipity is "the occurrence and development of events by chance in a happy or...
más de 4 años hace
Publicado
A Mesmerizing Animation
A Mesmerizing AnimationWe are working on a paper about the Kuramoto model of self-synchronizing oscillators. This animation...
más de 4 años hace
Publicado
History of MATLAB Published by the ACM
"A History of MATLAB", a 67-page paper that Jack Little and I have written, has been published by the ACM, the Association...
más de 4 años hace
Publicado
Moler on E-NLA, Wednesday, May 27
It has been a while since I made a blog post. It is because I am preparing to give a talk next week on"The Evolution of...
más de 4 años hace