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mycqstate.wordpress.com | ||
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lucatrevisan.wordpress.com
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| | | | | In which we show how to find the eigenvalues and eigenvectors of Cayley graphs of Abelian groups, we find tight examples for various results that we proved in earlier lectures, and, along the way, we develop the general theory of harmonic analysis which includes the Fourier transform of periodic functions of a real variable, the... | |
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nhigham.com
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| | | | | The spectral radius $latex \rho(A)$ of a square matrix $latex A\in\mathbb{C}^{n\times n}$ is the largest absolute value of any eigenvalue of $LATEX A$: $latex \notag \rho(A) = \max\{\, |\lambda|: \lambda~ \mbox{is an eigenvalue of}~ A\,\}. $ For Hermitian matrices (or more generally normal matrices, those satisfying $LATEX AA^* = A^*A$) the spectral radius is just... | |
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francisbach.com
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quomodocumque.wordpress.com
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| | | I met Mike Freedman last week at CMSA and I learned a great metaphor about an old favorite subject of mine, random walks on groups. The Heisenberg group is the group of upper triangular matrices with 1's on the diagonal: You can take a walk on the integral or Z/pZ points of the Heisenberg group... | ||
