This manual contains a concise description of each routine, with at least one demonstrated example of each routine, including sample input and results. You will find all information pertaining to the MATH/LIBRARY in this manual. Moreover, all information pertaining to a particular routine is in one place within a chapter.
Each chapter begins with an introduction followed by a table of contents that lists the routines included in the chapter. Documentation of the routines consists of the following information:
• Purpose: a statement of the purpose of the routine. If the routine is a function rather than a subroutine the purpose statement will reflect this fact.
• Function Return Value: a description of the return value (for functions only).
• Required Arguments: a description of the required arguments in the order of their occurrence. Input arguments usually occur first, followed by input/output arguments, with output arguments described last. Futhermore, the following terms apply to arguments:
Input Argument must be initialized; it is not changed by the routine.
Input/Output Argument must be initialized; the routine returns output through this argument; cannot be a constant or an expression.
Input[/Output] Argument must be initialized; the routine may return output through this argument based on other optional data the user may choose to pass to this routine; cannot be a constant or an expression.
Input or Output Select appropriate option to define the argument as either input or output. See individual routines for further instructions.
Output No initialization is necessary; cannot be a constant or an expression. The routine returns output through this argument.
• Optional Arguments: a description of the optional arguments in the order of their occurrence.
• Fortran 90 Interface: a section that describes the generic and specific interfaces to the routine.
• Fortran 77 Style Interface: an optional section, which describes Fortran 77 style interfaces, is supplied for backwards compatibility with previous versions of the Library.
• ScaLAPACK Interface: an optional section, which describes an interface to a ScaLAPACK based version of this routine.
• Description: a description of the algorithm and references to detailed information. In many cases, other IMSL routines with similar or complementary functions are noted.
• Comments: details pertaining to code usage.
• Programming notes: an optional section that contains programming details not covered elsewhere.
• Example: at least one application of this routine showing input and required dimension and type statements.
• Output: results from the example(s).
• Additional Examples: an optional section with additional applications of this routine showing input and required dimension and type statements.
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