IMSUM Function

Basic Description

The Excel IMSUM function calculates the sum of two or more complex numbers.

Syntax: IMSUM( inumber1, inumber2, … )

where the inumber1, inumber2, … arguments are between 1 and 255 supplied Complex Numbers.

Note that complex numbers are simply stored as text in Excel. When a text string in the format “a+bi” or “a+bj” is supplied to one of Excel’s built-in complex number functions, this is interpreted as a complex number. Also the complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0. Therefore, the inumber arguments can be supplied to the Excel Imsum function as either:

A simple number
or
A complex number encased in quotation marks – eg. “5+3i”
or
A reference to a cell containing a complex number or a numeric value
or
A value returned from another Excel function or formula

These are all included in the examples below.

 

Imsum Function Examples

In the example below, the Excel Imsum function is used find the sum of different complex numbers. The functions are shown in the spreadsheet on the left and the results are shown in the spreadsheet on the right.

 Formulas:
A B
1 1-i =IMSUM( A1, A2 )
2 5+10i =IMSUM( “1-i”, “5+10i”, 2 )
3 =IMSUM( COMPLEX( 5, 2 ), COMPLEX( 0, 1 ) )
 Results:
A B
1 1-i 6+9i
2 5+10i 8+9i
3 5+3i

 

 

Imsum Function Errors

If you get an error from your Excel Imsum function this is likely to be one of the following :

#NUM! Occurs if the supplied inumber argument is not recognised as a complex number
#NAME? Occurs when Analysis ToolPak add-in is not enabled in your Excel.

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