ACMALGS.ZIP The 14 FORTRAN source algorithms in this subset from the ACM collection have proven particularly useful for exploratory data analysis by least squares parametric and non-parametric methods. Procedures based on advanced matrix decompositions and smoothing splines are featured in this compilation. They were selected for their numerical stability and robustness in the presence of ill conditioned data. They also are amenable to rapid translation into other high level languages. Citations are as follows by ACM algorithm number: 476 Six subprograms for curve fitting using splines under tension. 525 ADAPT, Adaptive smooth curve fitting. 526 Bivariate interpolation and smooth surface fitting for irregularly distributed data points. 573 NL2SOL, an adaptive nonlinear least-squares algorithm. (Channel 1 users should note that Phillip H. Sherrod has) (implemented this algorithm in his NONLIN series, available) (as NONLIN15.ZIP as of 8/28/92). 581 An improved algorithm for computing the singular value decomposition. 600 Translation of Algorithm 507. Procedures for quintic spline interpolation. 615 The best subset of parameters in least absolute value regression. 633 An algorithm for linear dependency analysis of multivariate data. 634 CONST and EVAL. Routines for fitting multinomials in a least- squares sense. 642 A fast procedure for calculating minimun cross-validation cubic smoothing splines. 665 MACHAR, a subroutine to dynamically determine machine parameters. 672 Generation of interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions. 691 Improving QUADPACK automatic integration routines. 697 Univariate interpolation that has the accuracy of a third degree polynomial.