Posts 81 - 90 of 101

Results for: Matrices

Reverse Singular Value Decomposition 2

Employing a factorization based on the least significant singular values provides a matrix approximation with many surprisingly useful properties. This Reverse Singular Value Decomposition, RSVD, is also referred to as Subordinate Component Analysis, SCA, to distinguish it from Principal Component Analysis. ... read more >>

Music, Sparse Matrices, and London Billboards 2

ContentsTim DavisSparse Matrix VisualizationsMusic VisualizationsMetastaseisBlue MondayElectrodoodleMorning Has BrokenBach Toccata and FugueNotesArt StudioTim DavisAt the recent SIAM conference on... read more >>

Surprising SVD, Square Waves, and Pi 2

I am surprised when many of the singular values of a nonsymmetric variant of the Hilbert matrix turn out to be nearly equal to $\pi$. The explanation involves the Fourier series for a square wave.... read more >>

The Rosser Matrix

The Rosser matrix is a classic matrix eigenvalue test problem.... read more >>

Fiedler Companion Matrix

The Fiedler companion matrix distributes the coefficients of a polynomial along the diagonals of an elegant pentadiagonal matrix whose eigenvalues are equal to the zeros of the polynomial.... read more >>

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 MathWorks, I only acted as an advisor to the company for its first five years. During that time, from 1985 to 1989, I was trying my luck with two Silicon Valley computer startup companies. Both enterprises failed as businesses, but the experience taught me a great deal about the computer industry, and influenced how I viewed the eventual development of MATLAB. This post continues the discussion of the Intel Personal Supercomputer... read more >>

The Intel Hypercube, part 2

The Intel Hypercube, part 2See The Intel Hypercube, part 2, repostedGet the MATLAB code (requires JavaScript) Published with MATLAB® R2013b Published with MATLAB®... read more >>

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. During that time, from 1985 to 1989, I was trying my luck with two Silicon Valley computer startup companies. Both enterprises failed as businesses, but the experience taught me a great deal about the computer industry, and influenced how I viewed the eventual development of MATLAB. The first of these startups developed the Intel Hypercube.... read more >>

Backslash 4

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

eigshow, week 3

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

Posts 81 - 90 of 101