PALSI: A Polynomial Approximating CodePALSI is a weighted least squares polynomial code for the IBM 704 computer. Polynomials of increasing degrees are fitted to a given set of data, the weighted residuals and inverse matrix of the normal equations are output, and if desired the values of the approximating polynomials with corresponding estimated errors are output for a set of evenly spaced arguments. |
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... numbers with or without deci- mal points ( numbers without decimal points being integers ) . If necessary an item of data may be written as an integer followed by the letter E which is followed by a signed integer specifying the power ...
... numbers with or without deci- mal points ( numbers without decimal points being integers ) . If necessary an item of data may be written as an integer followed by the letter E which is followed by a signed integer specifying the power ...
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... points at which the estimated error is to be calculated , and is punched as per the following : EXAMPLE 1 . m = 5 ... number of items input , as this should have been correctly specified in block one . If w is input as a neg- ative number ...
... points at which the estimated error is to be calculated , and is punched as per the following : EXAMPLE 1 . m = 5 ... number of items input , as this should have been correctly specified in block one . If w is input as a neg- ative number ...
Common terms and phrases
acting on behalf approximating polynomial arbitrary Begin Block block of cards calculated California Livermore column vectors combining proper multiples Commission degree of interest diagonal matrix diagonal pivots dimension employee or contractor estimated error figure loss following columns formed half the figure Holdt increasing order independent set input integer inverse matrix L₂L₁ LATALT Lawrence Radiation Laboratory least squares problem linear least squares locations occupied m-dimensional method of diagonal method of orthogonalization mial minimum value non-identity elements nonsingular normal equations number of points numeric zero orthogonalization has half output P₁ PALSI problem person acting pivot column polyno POLYNOMIAL APPROXIMATING CODE Premultiplying process disclosed punched replaced Richard E rows of three scalar solution of 2.4 subblocks terminal point three words triangular matrix triangular with unit unit diagonal elements University of California upper triangular system weighted residuals Zk+1