#include "clapack.h" /* Table of constant values */ static integer c__1 = 1; doublereal slanst_(char *norm, integer *n, real *d__, real *e) { /* System generated locals */ integer i__1; real ret_val, r__1, r__2, r__3, r__4, r__5; /* Builtin functions */ double sqrt(doublereal); /* Local variables */ integer i__; real sum, scale; extern logical lsame_(char *, char *); real anorm; extern /* Subroutine */ int slassq_(integer *, real *, integer *, real *, real *); /* -- LAPACK auxiliary routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* SLANST returns the value of the one norm, or the Frobenius norm, or */ /* the infinity norm, or the element of largest absolute value of a */ /* real symmetric tridiagonal matrix A. */ /* Description */ /* =========== */ /* SLANST returns the value */ /* SLANST = ( max(abs(A(i,j))), NORM = 'M' or 'm' */ /* ( */ /* ( norm1(A), NORM = '1', 'O' or 'o' */ /* ( */ /* ( normI(A), NORM = 'I' or 'i' */ /* ( */ /* ( normF(A), NORM = 'F', 'f', 'E' or 'e' */ /* where norm1 denotes the one norm of a matrix (maximum column sum), */ /* normI denotes the infinity norm of a matrix (maximum row sum) and */ /* normF denotes the Frobenius norm of a matrix (square root of sum of */ /* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. */ /* Arguments */ /* ========= */ /* NORM (input) CHARACTER*1 */ /* Specifies the value to be returned in SLANST as described */ /* above. */ /* N (input) INTEGER */ /* The order of the matrix A. N >= 0. When N = 0, SLANST is */ /* set to zero. */ /* D (input) REAL array, dimension (N) */ /* The diagonal elements of A. */ /* E (input) REAL array, dimension (N-1) */ /* The (n-1) sub-diagonal or super-diagonal elements of A. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ --e; --d__; /* Function Body */ if (*n <= 0) { anorm = 0.f; } else if (lsame_(norm, "M")) { /* Find max(abs(A(i,j))). */ anorm = (r__1 = d__[*n], dabs(r__1)); i__1 = *n - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ r__2 = anorm, r__3 = (r__1 = d__[i__], dabs(r__1)); anorm = dmax(r__2,r__3); /* Computing MAX */ r__2 = anorm, r__3 = (r__1 = e[i__], dabs(r__1)); anorm = dmax(r__2,r__3); /* L10: */ } } else if (lsame_(norm, "O") || *(unsigned char *) norm == '1' || lsame_(norm, "I")) { /* Find norm1(A). */ if (*n == 1) { anorm = dabs(d__[1]); } else { /* Computing MAX */ r__3 = dabs(d__[1]) + dabs(e[1]), r__4 = (r__1 = e[*n - 1], dabs( r__1)) + (r__2 = d__[*n], dabs(r__2)); anorm = dmax(r__3,r__4); i__1 = *n - 1; for (i__ = 2; i__ <= i__1; ++i__) { /* Computing MAX */ r__4 = anorm, r__5 = (r__1 = d__[i__], dabs(r__1)) + (r__2 = e[i__], dabs(r__2)) + (r__3 = e[i__ - 1], dabs(r__3)); anorm = dmax(r__4,r__5); /* L20: */ } } } else if (lsame_(norm, "F") || lsame_(norm, "E")) { /* Find normF(A). */ scale = 0.f; sum = 1.f; if (*n > 1) { i__1 = *n - 1; slassq_(&i__1, &e[1], &c__1, &scale, &sum); sum *= 2; } slassq_(n, &d__[1], &c__1, &scale, &sum); anorm = scale * sqrt(sum); } ret_val = anorm; return ret_val; /* End of SLANST */ } /* slanst_ */