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Cleve Moler


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MathWorks

243 total contributions since 2012

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Published


Pejorative Manifolds of Polynomials and Matrices, part 1
In an unpublished 1972 technical report "Conserving confluence curbs ill-condition," Velvel Kahan coined the descriptive...

etwa ein Monat ago

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MathWorks Blue Meets Air Force Academy Blue
I have always been fascinated by the names that are used to describe colors. There are dozens of web sites with lists of...

etwa 2 Monate ago

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Christmas Greetings 2019
... read more >>

etwa 2 Monate ago

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A Matrix for the New HPL-AI Benchmark
My colleagues are looking for a matrix to be used in a new benchmark. They've come to the right place.... read more >>

3 Monate ago

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Color Order for Line Plots
Line plots with a color order from one of our color maps are useful, and pretty.... read more >>

4 Monate ago

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Submitted


Cleve_s Laboratory
A Mathematical Exploratorium

4 Monate ago | 56 downloads |

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Submitted


Kuramoto's model of synchronizing oscillators
The Kuramoto model is a nonlinear dynamic system of coupled oscillators that initially have random natural frequencies and phase...

4 Monate ago | 25 downloads |

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Stability of Kuramoto Oscillators
I am working with Indika Rajapakse and Steve Smale to investigate the stability of the dynamic system describing Kuramoto...

4 Monate ago

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Prime Spiral #2
Today's post was inspired by a YouTube video, Why do prime numbers make these spirals?, on the channel 3Blue1Brown, created...

4 Monate ago

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Experiments With Kuramoto Oscillators
I have learned a lot more about Kuramoto oscillators since I wrote my blog post three weeks ago. I am working with Indika...

5 Monate ago

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Kuramoto Model of Synchronized Oscillators
Fireflies on a summer evening, pacemaker cells, neurons in the brain, a flock of starlings in flight, pendulum clocks...

6 Monate ago

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The QR Algorithm Computes Eigenvalues and Singular Values
\n'); d.title = title + ' (MATLAB code)'; d.close(); } --> Get the MATLAB...

7 Monate ago

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Hadamard Matrices
I have just returned from the ICIAM2019 conference in Valencia, Spain. It was a huge conference -- 4,000+ attendees, dozens...

7 Monate ago

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The World’s Simplest Impossible Problem
(This is a reprint of the second ever Cleve's Corner from the Winter 1990 MathWorks Newsletter).... read more >>

8 Monate ago

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Bohemian Matrices in the MATLAB® Gallery
We will have a two-part minisymposium on "Bohemian Matrices" at ICIAM2019, the International Congress on Industrial and...

8 Monate ago

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Matrix Eigenvalue Dating Service
This is a summary of my talk at the conference Celebrating the Centenary of James H. Wilkinson's Birth at the University of...

9 Monate ago

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An Eigenvalue Sensitivity Example
On May 29-30, I plan to attend a conference, organized by Nick Higham, at the University of Manchester. The title of the...

9 Monate ago

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Continued Fractions and Function “rat”
Let me tell you about MATLAB's controversial function rat.... read more >>

9 Monate ago

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Makima Piecewise Cubic Interpolation
This post is by my colleague Cosmin Ionita.... read more >>

10 Monate ago

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The Reuleaux Triangle and Curves of Constant Width
Why are manhole covers round? It is so they won't fall through the hole they are intended to cover. They have the same...

10 Monate ago

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Biorhythms and Energy Vortices Near Sedona, Arizona
Sedona Arizona is a perfect site for the first MathWorks excursion into lifestyle products.... read more >>

11 Monate ago

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Benchmarking a GPU
I recently acquired a GPU, a graphics processing unit. It's called a GPU because such processors were originally...

11 Monate ago

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Amaze, A Maze Generator
My MATLAB® program, amaze, generates mazes by combining old friends, numgrid and delsq, with a new friend, the graph object....

12 Monate ago

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Submitted


Amaze, A maze generator.
Amaze generates mazes by combining |numgrid| and |delsq|, with the |graph| object.

12 Monate ago | 10 downloads |

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Published


Experiments with Variable Format Half Precision
For the past month I have been working with the variable format 16-bit floating point arithmetic that I described in this...

etwa ein Jahr ago

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Floating Point Arithmetic Before IEEE 754
In a comment following my post about half-precision arithmetic, "Raj C" asked how the parameters for IEEE Standard 754...

etwa ein Jahr ago

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Variable Format Half Precision Floating Point Arithmetic
A year and a half ago I wrote a post about "half precision" 16-bit floating point arithmetic, Moler on fp16. I followed this...

etwa ein Jahr ago

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VAXBARN Restores Vibrating Membrane on Ardent Titan
This is a short post to point to a web site in the Netherlands, VAXBARN. The site proprietor, Camiel Vanderhoeven, is...

etwa ein Jahr ago

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Mandelbrot Brings Season’s Greetings
Mandelbrot sports a new red, green and gold colormap to celebrate the holidays.... read more >>

etwa ein Jahr ago

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Submitted


interp_gadget
Explore the Runge phenomenon -- does polynomial interpolation converge?

etwa ein Jahr ago | 3 downloads |

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