Changes between Initial Version and Version 1 of cypress/LAPACK


Ignore:
Timestamp:
Aug 18, 2015 1:59:08 PM (6 years ago)
Author:
fuji
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • cypress/LAPACK

    v1 v1  
     1= Linear Algebra Package (LAPACK) =
     2[http://www.netlib.org/lapack/ LAPACK website] [http://www.netlib.org/lapack/lapackqref.ps List of subroutine]
     3
     4Many routines for linear algebra. Typical name: XYYZZZ
     5
     6* X is precision
     7* YY is type of matrix,
     8  * e.g. GE (general), GB (general banded), GT (general tridiagonal)
     9
     10* ZZZ is type of operation,
     11  * e.g. SV (solve system), SVX (solve system expert), EV (eigenvalues, vectors), SVD (singularvalues, vectors)
     12
     13==== General Dense Matrix System Solver ====
     14Ex: DGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO )
     15
     16[[Image(Lapack_DGESV.png)]]
     17
     18DGESV computes the solution to a real system of linear equations A * X = B, where A is an N-by-N matrix and X and B are N-by-NRHS matrices.  The LU decomposition with partial pivoting and row interchanges is used to factor A as A = P * L * U, where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B.
     19
     20[[Example Codes]]
     21
     22==== Tri-diagonal Matrix System Solver ====
     23Ex:DGTSV( N, NRHS, DL, D, DU, B, LDB, INFO )
     24
     25[[Image(Lapack_DGTSV.png)]]
     26
     27DGTSV solves the equation A*X = B, where A is an n by n tridiagonal matrix, by Gaussian elimination with partial pivoting. Note that the equation A'*X = B may be solved by interchanging the order of the arguments DU and DL.
     28
     29[[Example Codes]]
     30
     31==== Band Matrix System Solver ====
     32Ex: DGBSV( N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )
     33
     34[[Image(Lapack_DGBSV.png)]]
     35
     36DGBSV computes the solution to a real system of linear equations A * X = B, where A is a band matrix of order N with KL subdiagonals and KU superdiagonals, and X and B are N-by-NRHS matrices. The LU decomposition with partial pivoting and row interchanges is used to factor A as A = L * U, where L is a product of permutation and unit lower triangular matrices with KL subdiagonals, and U is upper triangular with KL+KU superdiagonals. The factored form of A is then used to solve the system of equations A * X = B.
     37
     38[[Band Storage Scheme]]
     39
     40[[Example Codes]]