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circulant matrix

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  • Circulant matrix — In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector. In numerical analysis, circulant matrices are important because they are… …   Wikipedia

  • Circulant graph — The Paley graph of order 13, an example of a circulant graph. Crown graphs …   Wikipedia

  • circulant — noun A circulant matrix …   Wiktionary

  • Toeplitz matrix — In the mathematical discipline of linear algebra, a Toeplitz matrix or diagonal constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to right is constant. For instance, the following matrix is a… …   Wikipedia

  • Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …   Wikipedia

  • Diagonal matrix — In linear algebra, a diagonal matrix is a matrix (usually a square matrix) in which the entries outside the main diagonal (↘) are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n… …   Wikipedia

  • Hadamard matrix — In mathematics, a Hadamard matrix is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. This means that every two different rows in a Hadamard matrix represent two perpendicular vectors. Such matrices can… …   Wikipedia

  • Carleman matrix — In mathematics, a Carleman matrix is a matrix that is used to convert function composition into matrix multiplication. They are used in iteration theory to find the continuous iteration of functions that cannot be iterated by pattern recognition… …   Wikipedia

  • Complex Hadamard matrix — A complex Hadamard matrix is any complex matrix H satisfying two conditions: unimodularity (the modulus of each entry is unity): orthogonality: , where denotes the Hermitian transpose of H and …   Wikipedia

  • Carrier interferometry — (CI) is a type of spread spectrum multiple access typically employed with Orthogonal frequency division multiplexing (OFDM). CI spreading codes are commonly used to spread data symbols across multiple OFDM subcarriers for diversity benefits and… …   Wikipedia

  • Moore–Penrose pseudoinverse — In mathematics, and in particular linear algebra, a pseudoinverse A+ of a matrix A is a generalization of the inverse matrix.[1] The most widely known type of matrix pseudoinverse is the Moore–Penrose pseudoinverse, which was independently… …   Wikipedia

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