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java.lang.Object | +----org.netlib.lapack.DLAED7
DLAED7 is a simplified interface to the JLAPACK routine dlaed7. This interface converts Java-style 2D row-major arrays into the 1D column-major linearized arrays expected by the lower level JLAPACK routines. Using this interface also allows you to omit offset and leading dimension arguments. However, because of these conversions, these routines will be slower than the low level ones. Following is the description from the original Fortran source. Contact seymour@cs.utk.edu with any questions.* .. * * Purpose * ======= * * DLAED7 computes the updated eigensystem of a diagonal * matrix after modification by a rank-one symmetric matrix. This * routine is used only for the eigenproblem which requires all * eigenvalues and optionally eigenvectors of a dense symmetric matrix * that has been reduced to tridiagonal form. DLAED1 handles * the case in which all eigenvalues and eigenvectors of a symmetric * tridiagonal matrix are desired. * * T = Q(in) ( D(in) + RHO * Z*Z' ) Q'(in) = Q(out) * D(out) * Q'(out) * * where Z = Q'u, u is a vector of length N with ones in the * CUTPNT and CUTPNT + 1 th elements and zeros elsewhere. * * The eigenvectors of the original matrix are stored in Q, and the * eigenvalues are in D. The algorithm consists of three stages: * * The first stage consists of deflating the size of the problem * when there are multiple eigenvalues or if there is a zero in * the Z vector. For each such occurence the dimension of the * secular equation problem is reduced by one. This stage is * performed by the routine DLAED8. * * The second stage consists of calculating the updated * eigenvalues. This is done by finding the roots of the secular * equation via the routine DLAED4 (as called by SLAED9). * This routine also calculates the eigenvectors of the current * problem. * * The final stage consists of computing the updated eigenvectors * directly using the updated eigenvalues. The eigenvectors for * the current problem are multiplied with the eigenvectors from * the overall problem. * * Arguments * ========= * * ICOMPQ (input) INTEGER * = 0: Compute eigenvalues only. * = 1: Compute eigenvectors of original dense symmetric matrix * also. On entry, Q contains the orthogonal matrix used * to reduce the original matrix to tridiagonal form. * * N (input) INTEGER * The dimension of the symmetric tridiagonal matrix. N >= 0. * * QSIZ (input) INTEGER * The dimension of the orthogonal matrix used to reduce * the full matrix to tridiagonal form. QSIZ >= N if ICOMPQ = 1. * * TLVLS (input) INTEGER * The total number of merging levels in the overall divide and * conquer tree. * * CURLVL (input) INTEGER * The current level in the overall merge routine, * 0 <= CURLVL <= TLVLS. * * CURPBM (input) INTEGER * The current problem in the current level in the overall * merge routine (counting from upper left to lower right). * * D (input/output) DOUBLE PRECISION array, dimension (N) * On entry, the eigenvalues of the rank-1-perturbed matrix. * On exit, the eigenvalues of the repaired matrix. * * Q (input/output) DOUBLE PRECISION array, dimension (LDQ, N) * On entry, the eigenvectors of the rank-1-perturbed matrix. * On exit, the eigenvectors of the repaired tridiagonal matrix. * * LDQ (input) INTEGER * The leading dimension of the array Q. LDQ >= max(1,N). * * INDXQ (output) INTEGER array, dimension (N) * The permutation which will reintegrate the subproblem just * solved back into sorted order, i.e., D( INDXQ( I = 1, N ) ) * will be in ascending order. * * RHO (input) DOUBLE PRECISION * The subdiagonal element used to create the rank-1 * modification. * * CUTPNT (input) INTEGER * Contains the location of the last eigenvalue in the leading * sub-matrix. min(1,N) <= CUTPNT <= N. * * QSTORE (input/output) DOUBLE PRECISION array, dimension (N**2+1) * Stores eigenvectors of submatrices encountered during * divide and conquer, packed together. QPTR points to * beginning of the submatrices. * * QPTR (input/output) INTEGER array, dimension (N+2) * List of indices pointing to beginning of submatrices stored * in QSTORE. The submatrices are numbered starting at the * bottom left of the divide and conquer tree, from left to * right and bottom to top. * * PRMPTR (input) INTEGER array, dimension (N lg N) * Contains a list of pointers which indicate where in PERM a * level's permutation is stored. PRMPTR(i+1) - PRMPTR(i) * indicates the size of the permutation and also the size of * the full, non-deflated problem. * * PERM (input) INTEGER array, dimension (N lg N) * Contains the permutations (from deflation and sorting) to be * applied to each eigenblock. * * GIVPTR (input) INTEGER array, dimension (N lg N) * Contains a list of pointers which indicate where in GIVCOL a * level's Givens rotations are stored. GIVPTR(i+1) - GIVPTR(i) * indicates the number of Givens rotations. * * GIVCOL (input) INTEGER array, dimension (2, N lg N) * Each pair of numbers indicates a pair of columns to take place * in a Givens rotation. * * GIVNUM (input) DOUBLE PRECISION array, dimension (2, N lg N) * Each number indicates the S value to be used in the * corresponding Givens rotation. * * WORK (workspace) DOUBLE PRECISION array, dimension (3*N+QSIZ*N) * * IWORK (workspace) INTEGER array, dimension (4*N) * * INFO (output) INTEGER * = 0: successful exit. * < 0: if INFO = -i, the i-th argument had an illegal value. * > 0: if INFO = 1, an eigenvalue did not converge * * ===================================================================== * * .. Parameters ..
DLAED7()
DLAED7(int, int, int, int, int, int, double[], double[][], int[], doubleW, int, double[], int[], int[], int[], int[], int[][], double[][], double[], int[], intW)
DLAED7
public DLAED7()
DLAED7
public static void DLAED7(int icompq,
int n,
int qsiz,
int tlvls,
int curlvl,
int curpbm,
double d[],
double q[][],
int indxq[],
doubleW rho,
int cutpnt,
double qstore[],
int qptr[],
int prmptr[],
int perm[],
int givptr[],
int givcol[][],
double givnum[][],
double work[],
int iwork[],
intW info)
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