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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Page 3
... numeric zero and alphabetic 0 , numeric zero is always written as . Card Input is in two blocks of cards , the beginning of each block being signalled by punching L at the beginning of the first card of the block . All dimensions are ...
... numeric zero and alphabetic 0 , numeric zero is always written as . Card Input is in two blocks of cards , the beginning of each block being signalled by punching L at the beginning of the first card of the block . All dimensions are ...
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... 0 ; q , Xo , △ are not entered on this card . 9 W X.9 ( w ,, X ; ' Y1 ) , The second block of cards contains the data to be fitted : ( i = 1 , 2 , ... , m ) . No count is kept of the number of items input , as this should have been ...
... 0 ; q , Xo , △ are not entered on this card . 9 W X.9 ( w ,, X ; ' Y1 ) , The second block of cards contains the data to be fitted : ( i = 1 , 2 , ... , m ) . No count is kept of the number of items input , as this should have been ...
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