1 2 3P A C K A G E LINPAKS 4 5(Version 1978 ) 6 7Analyse and solve various systems of linear algebraic equations. (Single 8precision version of LINPACK). 9 10 11SCHDC.........Compute Cholesky decomposition of real positive definite 12 matrix with optional pivoting. 13SCHDD.........Downdates Cholesky factorization of real positive definite 14 matrix. 15SCHEX.........Updates Cholesky factorization of real positive definite 16 matrix. 17SCHUD.........Updates Cholesky factorization of real positive definite 18 matrix. 19SGBCO.........Computes LU factorization of real band matrix and 20 estimates its condition. 21SGBDI.........Uses LU factorization of real band matrix to compute its 22 determinant. (No provision for computing matrix inverse.) 23SGBFA.........Computes LU factorization of real band matrix. 24SGBSL.........Uses LU factorization of real band matrix to solve 25 systems. 26SGECO.........Computes LU factorization of real general matrix and 27 estimates its condition. 28SGEDI.........Uses LU factorization of real general matrix to compute 29 its determinant and/or inverse. 30SGEFA.........Computes LU factorization of real general matrix. 31SGESL.........Uses LU factorization of real general matrix to solve 32 systems. 33SGTSL.........Factors a real tridiagonal matrix and simultaneously 34 solves a system. 35SPBCO.........Uses Cholesky algorithm to compute factorization of real 36 positive definite band matrix and estimates its condition. 37SPBDI.........Uses factorization of real positive definite band matrix 38 to compute its determinant. (No provision for matrix 39 inverse.) 40SPBFA.........Uses Cholesky algorithm to compute factorization of real 41 positive definite band matrix. 42SPBSL.........Uses factorization of real positive definite band matrix 43 to solve systems. 44SPOCO.........Uses Cholesky algorithm to factor real positive definite 45 matrix and estimate its condition. 46SPODI.........Uses factorization of real positive definite matrix to 47 compute its determinant and/or inverse. 48SPOFA.........Uses Cholesky algorithm to factor real positive definite 49 matrix. 50SPOSL.........Uses factorization of real positive definite matrix to 51 solve systems. 52SPPCO.........Uses Cholesky algorithm to factor real positive definite 53 matrix stored in packed form and estimate its condition. 54SPPDI.........Uses factorization of real positive definite matrix stored 55 in packed form to compute its determinant and/or inverse. 56SPPFA.........Uses Cholesky algorithm to factor real positive definite 57 matrix stored in packed form. 58SPPSL.........Uses factorization of real positive definite matrix stored 59 in packed form to solve systems. 60SPTSL.........Decomposes real symmetric positive definite tridiagonal 61 matrix and simultaneously solves a system. 62SQRDC.........Computes QR decomposition of real general matrix. 63SQRSL.........Manipulates a truncated QR decomposition of real general 64 matrix which is output from SQRDC. 65SSICO.........Computes factorization of real symmetric indefinite matrix 66 and estimates its condition. 67SSIDI.........Uses factorization of real symmetric indefinite matrix to 68 compute its determinant and/or inverse. 69SSIFA.........Computes factorization of real symmetric indefinite 70 matrix. 71SSISL.........Uses factorization of real symmetric indefinite matrix to 72 solve systems. 73SSPCO.........Computes factorization of real symmetric indefinite matrix 74 stored in packed form and estimates its condition. 75SSPDI.........Uses factorization of real symmetric indefinite matrix 76 stored in packed form to compute its determinant and/or 77 inverse. 78SSPFA.........Computes factorization of real symmetric indefinite matrix 79 stored in packed form. 80SSPSL.........Uses factorization of real symmetric indefinite matrix 81 stored in packed form to solve systems. 82SSVDC.........Computes Singular Value Decomposition of real general 83 matrix. 84STRCO.........Estimates the condition of real triangular matrix. 85STRDI.........Computes determinant and/or inverse of real triangular 86 matrix. 87STRSL.........Solves systems with real triangular matrix. 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103