npm package: @stdlib/blas-ext-base-ndarray-gsumkbn
Description: Compute the sum of all elements in a one-dimensional ndarray using an improved Kahan–Babuška algorithm.
Author: The Stdlib Authors
Latest version: 0.1.1

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# gsumkbn

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> Compute the sum of all elements in a one-dimensional ndarray using an improved Kahan–Babuška algorithm.

<section class="intro">

</section>

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<section class="installation">

## Installation

```bash
npm install @stdlib/blas-ext-base-ndarray-gsumkbn
```

</section>

<section class="usage">

## Usage

```javascript
var gsumkbn = require( '@stdlib/blas-ext-base-ndarray-gsumkbn' );
```

#### gsumkbn( arrays )

Computes the sum of all elements in a one-dimensional ndarray using an improved Kahan–Babuška algorithm.

```javascript
var ndarray = require( '@stdlib/ndarray-base-ctor' );

var xbuf = [ 1.0, 3.0, 4.0, 2.0 ];
var x = new ndarray( 'generic', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );

var v = gsumkbn( [ x ] );
// returns 10.0
```

The function has the following parameters:

-   **arrays**: array-like object containing a one-dimensional input ndarray.

</section>

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<section class="notes">

## Notes

-   If provided an empty real-valued one-dimensional ndarray, the function returns `0.0`.

</section>

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<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var ndarray = require( '@stdlib/ndarray-base-ctor' );
var ndarray2array = require( '@stdlib/ndarray-to-array' );
var gsumkbn = require( '@stdlib/blas-ext-base-ndarray-gsumkbn' );

var xbuf = discreteUniform( 10, -50, 50, {
    'dtype': 'generic'
});
var x = new ndarray( 'generic', xbuf, [ xbuf.length ], [ 1 ], 0, 'row-major' );
console.log( ndarray2array( x ) );

var v = gsumkbn( [ x ] );
console.log( v );
```

</section>

<!-- /.examples -->

<section class="references">

## References

-   Neumaier, Arnold. 1974. "Rounding Error Analysis of Some Methods for Summing Finite Sums." _Zeitschrift Für Angewandte Mathematik Und Mechanik_ 54 (1): 39–51. doi:[10.1002/zamm.19740540106][@neumaier:1974a].

</section>

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[@neumaier:1974a]: https://doi.org/10.1002/zamm.19740540106

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