matrix
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11: 3.2 Linear Algebra
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§3.2(iv) Eigenvalues and Eigenvectors
… ► … ► … ►§3.2(vi) Lanczos Tridiagonalization of a Symmetric Matrix
… ►The tridiagonal matrix …12: 1.2 Elementary Algebra
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►a real symmetric matrix if
…an Hermitian matrix if
…a tridiagonal matrix if
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►The matrix exponential is defined via
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13: 21.5 Modular Transformations
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21.5.1
►is a symplectic matrix, that is,
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21.5.2
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21.5.3
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►For a
matrix
we define , as a column vector with the diagonal entries as elements.
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14: 21.10 Methods of Computation
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§21.10(ii) Riemann Theta Functions Associated with a Riemann Surface
►In addition to evaluating the Fourier series, the main problem here is to compute a Riemann matrix originating from a Riemann surface. …15: Donald St. P. Richards
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►Richards has published numerous papers on special functions of matrix argument, harmonic analysis, multivariate statistical analysis, probability inequalities, and applied probability.
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16: 21.1 Special Notation
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positive integers. | |
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complex, symmetric matrix with strictly positive definite, i.e., a Riemann matrix. | |
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th element of matrix . | |
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zero matrix. | |
identity matrix. | |
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17: 35.12 Software
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Koev and Edelman (2006). Computation of hypergeometric functions of matrix argument in MATLAB.