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Floating Point Numbers
This is the first part of a two-part series about the single- and double precision floating point numbers that MATLAB uses...

10 years 前

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Householder Symposium XIX Trip Report
The nineteenth Householder Symposium, Householder XIX, was held June 8-13 at Sol Cress, a conference center near Spa,...

10 years 前

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Ordinary Differential Equations, Stiffness
Stiffness is a subtle concept that plays an important role in assessing the effectiveness of numerical methods for ordinary...

10 years 前

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Ordinary Differential Equation Solvers ODE23 and ODE45
The functions ode23 and ode45 are the principal MATLAB and Simulink tools for solving nonstiff ordinary differential...

10 years 前

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Ordinary Differential Equation Suite
MATLAB and Simulink have a powerful suite of routines for the numerical solution of ordinary differential equations. ...

10 years 前

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Periodic Solutions to the Lorenz Equations
Changing the value of a parameter in the equations that produce the famous Lorenz chaotic attractor yields nonlinear...

10 years 前

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Singular Value Analysis of Cryptograms
The Singular Value Decomposition of the digram frequency matrix of a text coded with a simple substitution cypher can reveal...

10 years 前

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Reverse Singular Value Decomposition
Employing a factorization based on the least significant singular values provides a matrix approximation with many...

10 years 前

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Higher Resolution Penny
High resolution measurements of the depth of the mold for the United States one cent coin provide an interesting data...

10 years 前

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Music, Sparse Matrices, and London Billboards
ContentsTim DavisSparse Matrix VisualizationsMusic VisualizationsMetastaseisBlue MondayElectrodoodleMorning Has BrokenBach...

10 years 前

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The Tektronix 4081
The Tektronix 4081 minicomputer at Argonne National Laboratory in the summers of 1977 and '78 played an important role in...

10 years 前

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Surprising SVD, Square Waves, and Pi
I am surprised when many of the singular values of a nonsymmetric variant of the Hilbert matrix turn out to be nearly equal...

10 years 前

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Magic Stars
Magic Stars are a little like Magic Squares. My grandson was introduced to them in his junior high school math class.......

10 years 前

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The Rosser Matrix
The Rosser matrix is a classic matrix eigenvalue test problem....

10 years 前

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Fiedler Companion Matrix
The Fiedler companion matrix distributes the coefficients of a polynomial along the diagonals of an elegant pentadiagonal...

10 years 前

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The Ardent Titan, part 2
Even though I am one of the founders of the MathWorks, I only acted as an advisor to the company for its first five years. ...

10 years 前

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The Ardent Titan, part 1
Even though I am one of the founders of the MathWorks, I only acted as an advisor to the company for its first five years. ...

10 years 前

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The Intel Hypercube, part 2, reposted
The first posting earlier today was truncated. Here is the complete post. Even though I am one of the founders of the...

10 years 前

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The Intel Hypercube, part 2
The Intel Hypercube, part 2See The Intel Hypercube, part 2, repostedGet the MATLAB code (requires JavaScript) ...

10 years 前

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The Intel Hypercube, part 1
Even though I am one of the founders of the MathWorks, I only acted as an advisor to the company for its first five years. ...

11 years 前

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Complex Step Differentiation
Complex step differentiation is a technique that employs complex arithmetic to obtain the numerical value of the first...

11 years 前

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Iterated Powers Fractal
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11 years 前

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Tower of Powers
I first investigated the tower of powers...

11 years 前

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The Lambert W Function
The Lambert W function deserves to be better known. It pops up in all sorts of places. And our MATLAB function for...

11 years 前

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Backslash
The backslash operator has come to represent both the matrix origins and the usability of MATLAB....

11 years 前

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eigshow, week 3
An option in eigshow demonstrates SVD, the matrix singular value decomposition. The emphasis is on orthogonality.... read...

11 years 前

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eigshow, week 2
Three more examples with eigshow, all of them degenerate in some way or another....

11 years 前

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eigshow, week 1
One of my all-time favorite MATLAB examples is eigshow....

11 years 前

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The LINPACK Benchmark
By reaching 33.86 petaflops on the LINPACK Benchmark, China's Tianhe-2 supercomputer has just become the world's fastest...

11 years 前

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Lake Arrowhead Coauthor Graph Photos
Nick Trefethen has framed the original flip chart that I described in my Lake Arrowhead Coauthor Graph blog earlier this...

11 years 前

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