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Chapter 1
# [1.0] flmoon calculate phases of the moon by date (example)
# [1.1] julday Julian Day number from calendar date (example)
# [1.1] badluk Friday the 13th when the moon is full
# [1.1] caldat calendar date from Julian day number (example)
Chapter 2
# [2.1] gaussj Gauss-Jordan matrix inversion and linear equation solution (example)
# [2.3] ludcmp linear equation solution, LU decomposition (example)
# [2.3] lubksb linear equation solution, backsubstitution (example)
# [2.4] tridag solution of tridiagonal systems (example)
# [2.4] banmul multiply vector by band diagonal matrix (example)
# [2.4] bandec band diagonal systems, decomposition (example)
# [2.4] banbks band diagonal systems, backsubstitution
# [2.5] mprove linear equation solution, iterative improvement (example)
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# [2.6] svbksb singular value backsubstitution (example)
# [2.6] svdcmp singular value decomposition of a matrix (example)
# [2.6] pythag calculate (a^2+b^2)^\{1/2\} without overflow
# [2.7] cyclic solution of cyclic tridiagonal systems (example)
# [2.7] sprsin convert matrix to sparse format
# [2.7] sprsax product of sparse matrix and vector
# [2.7] sprstx product of transpose sparse matrix and vector
# [2.7] sprstp transpose of sparse matrix
# [B2] sprsdiag extract diagonal of sparse matrix
# [2.7] linbcg biconjugate gradient solution of sparse systems (example)
# [2.7] snrm used by linbcg for vector norm
# [2.7] atimes used by linbcg for sparse multiplication
# [2.7] asolve used by linbcg for preconditioner
# [2.8] vander solve Vandermonde systems (example)
# [2.8] toeplz solve Toeplitz systems (example)
# [2.9] choldc Cholesky decomposition
# [2.9] cholsl Cholesky backsubstitution (example)
# [2.10] qrdcmp QR decomposition (example)
# [2.10] qrsolv QR backsubstitution (example)
# [2.10] rsolv right triangular backsubstitution
# [2.10] qrupdt update a QR decomposition (example)
# [2.10] rotate Jacobi rotation used by qrupdt
Chapter 3
# [3.1] polint polynomial interpolation (example)
# [3.2] ratint rational function interpolation (example)
# [3.3] spline construct a cubic spline (example)
# [3.3] splint cubic spline interpolation (example)
# [3.4] locate search an ordered table by bisection (example)
# [3.4] hunt search a table when calls are correlated (example)
# [3.5] polcoe polynomial coefficients from table of values (example)
# [3.5] polcof polynomial coefficients from table of values (example)
# [3.6] polin2 two-dimensional polynomial interpolation (example)
# [3.6] bcucof construct two-dimensional bicubic (example)
# [3.6] bcuint two-dimensional bicubic interpolation (example)
# [3.6] splie2 construct two-dimensional spline (example)
# [3.6] splin2 two-dimensional spline interpolation (example)
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