Programmer Guide/Command Reference/EVAL/rleqs: Difference between revisions

Revision as of 16:54, 12 April 2011

These functions implements an interface for the LAPACK functions DGESV, ZGESV, DGELS and ZGELS.

Usage

rleqs(A, B {, alg}):

alg=0	use DGESV if M=N and DGELS otherwise
alg=1	use always DGESV, M must be equal to N
alg=2	use always DGELS

Note: The function cleqs(A, B {, alg}) has the same arguments and result as rleqs, but the vectors/matrices A, B and X are complex.

@@ Line 5: / Line 5: @@
 :;<var>B</var>: right side vector or MxL matrix (for multiple solutions)
 :;<var>alg</var>: select a LAPACK algorithm to be used
-::{class="keinrahmen"
+::{|class="keinrahmen"
 |''alg''='''0''' || use DGESV if M=N and DGELS otherwise
 |-
@@ Line 12: / Line 12: @@
 |''alg''='''2''' || use always DGELS
 |}
-;Description:
+;Description: ...
-:;<var>m</var>: the regression (polynom) order; m>0 (default=1)
+;Result: ...
-;Result: Approximate the function ''y'' using polynominal regression. The result is the vector ''r'' with the ''m''+1 coefficients of the regression polynom.
-::<code>''y''<sub>REG</sub>[i] = ''r''[0] + ''r''[1]*''x''[i] {+ ''r''[2]*''x''[i]^2 + .. + ''r''[''m'']*''x''[i]^''m''}</code>
 Note: The function <code>cleqs(<var>A</var>, <var>B</var> {, <var>alg</var>})</code> has the same arguments and result as <code>rleqs</code>, but the vectors/matrices ''A'', ''B'' and ''X'' are [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic|complex]].