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6.3 N-S

0300AB ~xNSUB ( → npos )
Number of Sublist Cmd
--
Provides a way to access the current sublist position during an iteration of a program or command applied using DOSUBS.
--
Related: DOSUBS,ENDSUB
0250AB ~xPCOEF ( [roots] → [coefs] )
Monic Polynomial Coefficients Cmd
--
Returns the coefficients of a monic polynomial (a polynomial with a leading coefficient of 1) having specific roots.
--
Related: PEVAL,PROOT
0260AB ~xPEVAL ( [coefs] x → x' )
Polynomial Evaluation Cmd
--
Evaluates an n-degree polynomial at x.
--
Related: PCOEFF,PROOT
03D701 ~xPINIT ( → )
Port Initialize Cmd
--
Initializes all currently active ports. Does not affect data already stored in a port.
0240AB ~xPROOT ( [coefs] → [roots] )
Polynomial Roots Cmd
--
Returns all roots of an n-degree polynomial having real or complex roots.
--
Related: PCOEFF,PEVAL
0200F2 ~xPSDEV ( → xpsdev )
( → {x1...xn} )
Population Standard Deviation Cmd
--
Calculates the population standard deviation of each of the m columns of coordiate values in the current stastics matrix (reserved variable ΣDAT).
--
<REF>TEXT:Reserved|ΣDAT
--
Related: MEAN,PCOV,PVAR,SDEV,TOT,VAR
00E0AB ~xQR ( [[]] → [[Q]] [[R]] [[P]] )
QR Factorization of a Matrix Cmd
--
Returns the QR factorization of an n×m matrix.
--
Related: LQ,LSQ
0070AB ~xRANK ( [[]] → n )
Matrix Rank Cmd
--
Returns the rank of a rectangular matrix.
--
Related: LQ,LSQ,QR
0120AB ~xRANM ( {m n} → [[]] )
( [[]] → [[]]' )
Random Matrix Cmd
--
Returns a matrix of specified dimensions that contains random integers in the range -9 through 9.
--
{ m n } → [[ rand mat ]]m×n
[[ mat ]]m×n → [[ rand mat ]]m×n
--
Related: RAND,RDZ
01F0AB ~xRCI ( [[]] x nrow → [[]]' )
[] x n []'
Multiply Row by Constant Cmd
--
Multiplies row n of a matrix (or element n of a vector) by a const x, and returns the modified matrix.
--
Related: RCIJ
0200AB ~xRCIJ ( [[]] x n* n+ → [[]]' )
( [] x n* n+ → []' )
Add Multiplied Row Cmd
--
Multiplies row n* of a matrix by a constant x, adds this product to row n+ of the matrix, and returns the modified matrix. Or, multiplies element n* of a vector by a constant x, adds this product to element n+ of the vector, and returns the modified vector.
--
Related: RCI
0380AB ~xREVLIST ( {1...n} → {n...1}' )
Reverse List Cmd
--
Reverses the order of the elements in a list.
--
Related: SORT
0190AB ~xROW- ( [[]] nrow → [[]]' [] )
( [] n → []' elt )
Delete Row Cmd
--
Deletes row n of a matrix (or element n of a vector), and returns the modified matrix (or vector) and the deleted row (or element).
--
Related: COL-,COL+,ROW-,RSWP
01A0AB ~xROW+ ( [[]] [[]]' n → [[]]" )
( [[]] [] n → [[]]' )
( [] n n' → [] )
Insert Row Cmd
--
Inserts an array into a matrix (or one or more numbers into a vector) at a position indicated by nindex, and returns the modified matrix (or vector).
--
Related: COL-,COL+,ROW-,RSWP
0110AB ~xRREF ( [[]] → [[]]' )
Reduced Row Echelon Form Cmd
--
Converts a rectangular matrix to a reduced row echelon form.
01D0AB ~xRSWP ( []/[[]] i j → []/[[]] )
Row Swap Cmd
--
Swaps rows i and j of a matrix and returns the modified matrix, or swaps elements i and j of a vector and returns the modified vector.
--
Related: CSWP,ROW+,ROW-
0100AB ~xSCHUR ( [[]] → [[Q]] [[T]] )
Schur Decomp. of Squ. Matrix Cmd
--
Returns the Schur decomposition of a square matrix.
--
Related: LQ,LU,QR,SVD,SVL,TRN
02D0AB ~xSEQ ( prog var start end incr → {} )
Sequential Calculation Cmd
--
Returns a list of results generated ated by repeatedly executing prog using index var over the range start to end, in increments of incr.
--
Related: DOSUBS,STREAM
0060AB ~xSNRM ( [] → x )
Spectral Norm Cmd
--
Returns the spectral norm of an array.
--
Related: ABS,CNRM,COND,RNRM,SRAD,TRACE
0390AB ~xSORT ( {} → {}' )
Ascending Order Sort Cmd
--
Sorts the elements in a list in ascending order.
--
Related: REVLIST
0050AB ~xSRAD ( [[]] → x )
Spectral Radius Cmd
--
Returns the spectral radius of a square matrix.
--
Related: COND,SNRM,TRACE
0320AB ~xSTREAM ( {} prog → x )
Stream Execution Cmd
--
Moves the first two elements from the list onto the stack, and executes prog. The moves the next element (if any) onto the stack, and executes obj again using the previous result and the new element. Repeats this until the list is exhausted, and returns the final result.
--
Related: DOSUBS
00B0AB ~xSVD ( [[]] → [[U]] [[V]] [S] )
Singular Value Decomposition Cmd
--
Returns the sigular value decomposition of an m×n matrix.
--
Related: DIAG→,MIN,SVL
00C0AB ~xSVL ( [[]] → [] )
Singular Values Cmd
--
Returns the singular values of an m×n matrix.
--
Related: MIN,SVD


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This document was generated by Carsten Dominik on May, 30 2005 using texi2html