Published
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...
mer än 3 år ago
Published
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...
mer än 3 år ago
Solved
Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...
mer än 3 år ago
Published
Quaternions
Quaternions are generalizations of the complex numbers that have found applications in computer graphics and many other...
mer än 3 år ago
Published
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...
mer än 3 år ago
Published
Computers That I Have Known
Nick Higham's Numerical Linear Algebra group at the University of Manchester is hosting a conference celebrating Jack...
mer än 3 år ago
Answered
Redirecting arithmetic functions from LAPACK/BLAS?
It might help to use the transposes of your arrays or interchange the order ot your loops. MATLAB stores 2-d arrays by coluumns...
Redirecting arithmetic functions from LAPACK/BLAS?
It might help to use the transposes of your arrays or interchange the order ot your loops. MATLAB stores 2-d arrays by coluumns...
mer än 3 år ago | 3
Published
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...
mer än 3 år ago
Published
Computing Eigenvalues of Symmetric Matrices
Computing Eigenvalues of Symmetric MatricesSee revision.Get the MATLAB code (requires JavaScript) ...
mer än 3 år ago
Published
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...
mer än 3 år ago
Published
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...
mer än 3 år ago
Published
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...
nästan 4 år ago
Published
“Odd Rock” on Mars Exhibits (Almost) Magic Square
A news story released yesterday, March 31,by c|net has the headline...
nästan 4 år ago
Published
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....
nästan 4 år ago
Published
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...
nästan 4 år ago
Published
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...
nästan 4 år ago
Published
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...
nästan 4 år ago
Published
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...
ungefär 4 år ago
Published
Holiday Greetings 2020
I want to share some colorful images featuring the seven colors in the MATLAB axes color order....
ungefär 4 år ago
Published
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...
ungefär 4 år ago
Published
Paul Saylor, 1939-2020
My friend Paul Saylor passed away on November 7th....
ungefär 4 år ago
Published
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...
ungefär 4 år ago
Published
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...
ungefär 4 år ago
Published
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...
ungefär 4 år ago
Published
Two Dubious Ways to Solve A*X = X*B, part 1
Recently, I had email from a student in Italy....
mer än 4 år ago
Published
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...
mer än 4 år ago
Published
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...
mer än 4 år ago
