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 complib/TQL1(3) -- EISPACK routine. This subroutine finds the eigenvalues of a SYMMETRIC TRIDIAGONAL matrix by the QL method.
    On Input N is the order of the matrix. D contains the diagonal elements of the input matrix. E contains the subdiagonal elements of the input matrix in its last N-1 positions. E(1) is arbitrary. On Output D contains the eigenvalues in ascending order. If an error exit is made, the eigenvalues are correct and ordered for indices 1,2,...IERR-1, but may not be the smallest eigenvalues. E has been destroyed. IERR is set to Zero for normal return, J if the J-th eigenvalue has not been determined afte...
 complib/TQL2(3) -- EISPACK routine. This subroutine finds the eigenvalues and eigenvectors of a SYMMETRIC TRIDIAGONAL matrix by t
    On Input NM must be set to the row dimension of two-dimensional array parameters as declared in the calling program dimension statement. N is the order of the matrix. D contains the diagonal elements of the input matrix. E contains the subdiagonal elements of the input matrix in its last N-1 positions. E(1) is arbitrary. Z contains the transformation matrix produced in the reduction by TRED2, if performed. If the eigenvectors of the tridiagonal matrix are desired, Z must contain the identity mat...
 complib/TQLRAT(3) -- EISPACK routine. This subroutine finds the eigenvalues of a SYMMETRIC TRIDIAGONAL matrix by the rational QL me
    On Input N is the order of the matrix. D contains the diagonal elements of the input matrix. E2 contains the squares of the subdiagonal elements of the input matrix in its last N-1 positions. E2(1) is arbitrary. On Output D contains the eigenvalues in ascending order. If an error exit is made, the eigenvalues are correct and ordered for indices 1,2,...IERR-1, but may not be the smallest eigenvalues. E2 has been destroyed. IERR is set to Zero for normal return, J if the J-th eigenvalue has not be...
 Tcl/trace(3) -- Monitor variable accesses
    This command causes Tcl commands to be executed whenever certain operations are invoked. At present, only variable tracing is implemented. The legal option's (which may be abbreviated) are: trace variable name ops command Arrange for command to be executed whenever variable name is accessed in one of the ways given by ops. Name may refer to a normal variable, an element of an array, or to an array as a whole (i.e. name may be just the name of an array, with no parenthesized index). If name refe...
 Tcl/tracevar(3) -- monitor accesses to a variable
    Tcl_Interp *interp (in) Interpreter containing variable. char *varName (in) Name of variable. May refer to a scalar variable, to an array variable with no index, or to an array variable with a parenthesized index. If | the name references an | element of an array, then | it must be in writable | memory: Tcl will make | temporary modifications to | it while looking up the | name. int flags (in) OR-ed combination of the values TCL_TRACE_READS, TCL_TRACE_WRITES, and TCL_TRACE_UNSETS, and TCL_GLOBAL...
 f90/transfer(3) -- Treats the first argument as if it is of the same type as the second argument
    UNICOS, UNICOS/mk, and IRIX systems
 standard/translate(3) -- translates the current matrix
    x expects the x coordinate of a point. y expects the y coordinate of a point. z expects the z coordinate of a point.
 f90/transpose(3) -- Transposes an array of rank two
    UNICOS, UNICOS/mk, and IRIX systems
 complib/TRBAK1(3) -- EISPACK routine. This subroutine forms the eigenvectors of a REAL SYMMETRIC matrix by back transforming those
    On Input NM must be set to the row dimension of two-dimensional array parameters as declared in the calling program dimension statement. N is the order of the matrix. A contains information about the orthogonal trans- formations used in the reduction by TRED1 in its strict lower triangle. E contains the subdiagonal elements of the tridiagonal matrix in its last N-1 positions. E(1) is arbitrary. M is the number of eigenvectors to be back transformed. Z contains the eigenvectors to be back transfo...
 complib/TRBAK3(3) -- EISPACK routine. This subroutine forms the eigenvectors of a REAL SYMMETRIC matrix by back transforming those
    On Input NM must be set to the row dimension of two-dimensional array parameters as declared in the calling program dimension statement. N is the order of the matrix. NV must be set to the dimension of the array parameter A as declared in the calling program dimension statement. A contains information about the orthogonal transformations used in the reduction by TRED3 in its first N*(N+1)/2 positions. M is the number of eigenvectors to be back transformed. Z contains the eigenvectors to be back ...
 complib/TRED1(3) -- EISPACK routine. This subroutine reduces a REAL SYMMETRIC matrix to a symmetric tridiagonal matrix using ortho
    On Input NM must be set to the row dimension of two-dimensional array parameters as declared in the calling program dimension statement. N is the order of the matrix. A contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. On Output A contains information about the orthogonal trans- formations used in the reduction in its strict lower triangle. The full upper triangle of A is unaltered. D contains the diagonal elements of the tridiagonal matrix. E cont...
 complib/TRED2(3) -- EISPACK routine. This subroutine reduces a REAL SYMMETRIC matrix to a symmetric tridiagonal matrix using and a
    On Input NM must be set to the row dimension of two-dimensional array parameters as declared in the calling program dimension statement. N is the order of the matrix. A contains the real symmetric input matrix. Only the lower triangle of the matrix need be supplied. On Output D contains the diagonal elements of the tridiagonal matrix. E contains the subdiagonal elements of the tridiagonal matrix in its last N-1 positions. E(1) is set to zero. Z contains the orthogonal transformation matrix produ...
 complib/TRED3(3) -- EISPACK routine. This subroutine reduces a REAL
    On Input n is the order of the matrix. NV must be set to the dimension of the array parameter A as declared in the calling program dimension statement. A contains the lower triangle of the real symmetric input matrix, stored row-wise as a one-dimensional array, in its first N*(N+1)/2 positions. On Output A contains information about the orthogonal transformations used in the reduction. D contains the diagonal elements of the tridiagonal matrix. E contains the subdiagonal elements of the tridiago...
 complib/TRIDIB(3) -- EISPACK routine. This subroutine finds those eigenvalues of a TRIDIAGONAL SYMMETRIC matrix between specified b
    On Input N is the order of the matrix. EPS1 is an absolute error tolerance for the computed eigenvalues. If the input EPS1 is non-positive, it is reset for each submatrix to a default value, namely, minus the product of the relative machine precision and the 1-norm of the submatrix. D contains the diagonal elements of the input matrix. E contains the subdiagonal elements of the input matrix in its last N-1 positions. E(1) is arbitrary. E2 contains the squares of the corresponding elements of E. ...
 standard/trig(3) -- trigonometric functions and their inverses
    The single-precision and long double-precision routines listed above are only available in the standard math library, -lm, and in -lmx. sin, cos and tan return trigonometric functions of radian arguments x for double data types. fsin, fcos and ftan, and their ANSI-named counterparts sinf, cosf and tanf return trigonometric functions of radian Page 1 TRIG(3M) TRIG(3M) arguments x for float data types. sinl, cosl and tanl do the same for long double data types. The asin routines return the arc sin...
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