org.netlib.lapack
Class Slantb
java.lang.Object
org.netlib.lapack.Slantb
public class Slantb
- extends java.lang.Object
Following is the description from the original
Fortran source. For each array argument, the Java
version will include an integer offset parameter, so
the arguments may not match the description exactly.
Contact seymour@cs.utk.edu with any questions.
* ..
*
* Purpose
* =======
*
* SLANTB returns the value of the one norm, or the Frobenius norm, or
* the infinity norm, or the element of largest absolute value of an
* n by n triangular band matrix A, with ( k + 1 ) diagonals.
*
* Description
* ===========
*
* SLANTB returns the value
*
* SLANTB = ( 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 matrix norm.
*
* Arguments
* =========
*
* NORM (input) CHARACTER*1
* Specifies the value to be returned in SLANTB as described
* above.
*
* UPLO (input) CHARACTER*1
* Specifies whether the matrix A is upper or lower triangular.
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* DIAG (input) CHARACTER*1
* Specifies whether or not the matrix A is unit triangular.
* = 'N': Non-unit triangular
* = 'U': Unit triangular
*
* N (input) INTEGER
* The order of the matrix A. N >= 0. When N = 0, SLANTB is
* set to zero.
*
* K (input) INTEGER
* The number of super-diagonals of the matrix A if UPLO = 'U',
* or the number of sub-diagonals of the matrix A if UPLO = 'L'.
* K >= 0.
*
* AB (input) REAL array, dimension (LDAB,N)
* The upper or lower triangular band matrix A, stored in the
* first k+1 rows of AB. The j-th column of A is stored
* in the j-th column of the array AB as follows:
* if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k).
* Note that when DIAG = 'U', the elements of the array AB
* corresponding to the diagonal elements of the matrix A are
* not referenced, but are assumed to be one.
*
* LDAB (input) INTEGER
* The leading dimension of the array AB. LDAB >= K+1.
*
* WORK (workspace) REAL array, dimension (LWORK),
* where LWORK >= N when NORM = 'I'; otherwise, WORK is not
* referenced.
*
* =====================================================================
*
* .. Parameters ..
Method Summary |
static float |
slantb(java.lang.String norm,
java.lang.String uplo,
java.lang.String diag,
int n,
int k,
float[] ab,
int _ab_offset,
int ldab,
float[] work,
int _work_offset)
|
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Slantb
public Slantb()
slantb
public static float slantb(java.lang.String norm,
java.lang.String uplo,
java.lang.String diag,
int n,
int k,
float[] ab,
int _ab_offset,
int ldab,
float[] work,
int _work_offset)