About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

LAPACK

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Base (i.e., lower-level) linear algebra package (LAPACK) routines.

Installation

``bash npm install @stdlib/lapack-base`

`Usage`

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

#### lapack

Namespace for "base" (i.e., lower-level) linear algebra package (LAPACK) routines.

`javascript var o = lapack; // returns {...}`

The namespace contains the following:

- [clacgv( N, cx, strideCX )][@stdlib/lapack/base/clacgv]: conjugate each element in a single-precision complex floating-point vector. - [clacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/clacpy]: copy all or part of a matrix A to another matrix B. - [claset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/claset]: set the off-diagonal elements and the diagonal elements of a single-precision complex floating-point matrix to specified values. - [claswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/claswp]: perform a series of row interchanges on an input matrix. - [crot( N, cx, strideCX, cy, strideCY, c, s )][@stdlib/lapack/base/crot]: apply a plane rotation with real cosine and complex sine to a pair of single-precision complex floating-point vectors. - [dgetrans( order, M, N, A, LDA, out, LDO )][@stdlib/lapack/base/dge-trans]: convert a matrix from row-major layout to column-major layout or vice versa. - [dgttrf( N, DL, D, DU, DU2, IPIV )][@stdlib/lapack/base/dgttrf]: compute an LU factorization of a real tridiagonal matrix Ausing elimination with partial pivoting and row interchanges. - [dlacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/dlacpy]: copy all or part of a matrix A to another matrix B. - [dladiv( a, b, c, d, P, Q )][@stdlib/lapack/base/dladiv]: divide two double-precision complex floating-point numbers in real arithmetic. - [dlamch( cmach )][@stdlib/lapack/base/dlamch]: determine double-precision floating-point machine parameters. - [dlapy2( x, y )][@stdlib/lapack/base/dlapy2]: LAPACK routine to calculate sqrt(x^2 + y^2)in a manner which doesn't cause unnecessary overflow. - [dlapy3( x, y, z )][@stdlib/lapack/base/dlapy3]: LAPACK routine to calculate sqrt(x^2 + y^2 + z^2)in a manner which doesn't cause unnecessary overflow. - [dlarf1f( order, side, M, N, V, strideV, tau, C, LDC, work )][@stdlib/lapack/base/dlarf1f]: apply a real elementary reflector H = I - tau v v^T to a real M by N matrix C. - [dlaset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/dlaset]: set the off-diagonal elements and the diagonal elements of a double-precision floating-point matrix to specified values. - [dlassq( N, X, strideX, scale, sumsq )][@stdlib/lapack/base/dlassq]: return an updated sum of squares represented in scaled form. - [dlaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/dlaswp]: perform a series of row interchanges on an input matrix. - [dpttrf( N, D, E )][@stdlib/lapack/base/dpttrf]: compute the L D L^T factorization of a real symmetric positive definite tridiagonal matrix A. - [iladlc( order, M, N, A, LDA )][@stdlib/lapack/base/iladlc]: find the index of the last non-zero column in a matrix A. - [iladlr( order, M, N, A, LDA )][@stdlib/lapack/base/iladlr]: find the index of the last non-zero row in a matrix A. - [sgetrans( order, M, N, A, LDA, out, LDO )][@stdlib/lapack/base/sge-trans]: convert a matrix from row-major layout to column-major layout or vice versa. - [slacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/slacpy]: copy all or part of a matrix A to another matrix B. - [slaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/slaswp]: perform a series of row interchanges on an input matrix. - [spttrf( N, D, E )][@stdlib/lapack/base/spttrf]: compute the L D L^T factorization of a real symmetric positive definite tridiagonal matrix A. - [zlacgv( N, zx, strideZX )][@stdlib/lapack/base/zlacgv]: conjugate each element in a double-precision complex floating-point vector. - [zlacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/zlacpy]: copy all or part of a matrix A to another matrix B. - [zlaset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/zlaset]: set the off-diagonal elements and the diagonal elements of a double-precision complex floating-point matrix to specified values. - [zlaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/zlaswp]: perform a series of row interchanges on an input matrix. - [zrot( N, zx, strideX, zy, strideY, c, s )][@stdlib/lapack/base/zrot]: apply a plane rotation with real cosine and complex sine to a pair of double-precision complex floating-point vectors.

`Examples`

`javascript var objectKeys = require( '@stdlib/utils-keys' ); var lapack = require( '@stdlib/lapack-base' );

console.log( objectKeys( lapack ) );`

*

`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].

#### Community

[![Chat][chat-image]][chat-url]

---

`License`

See [LICENSE][stdlib-license].

`Copyright`

[npm-image]: http://img.shields.io/npm/v/@stdlib/lapack-base.svg [npm-url]: https://npmjs.org/package/@stdlib/lapack-base

[test-image]: https://github.com/stdlib-js/lapack-base/actions/workflows/test.yml/badge.svg?branch=v0.2.1 [test-url]: https://github.com/stdlib-js/lapack-base/actions/workflows/test.yml?query=branch:v0.2.1

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/lapack-base/main.svg [coverage-url]: https://codecov.io/github/stdlib-js/lapack-base?branch=main

[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg [chat-url]: https://stdlib.zulipchat.com

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd [es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/lapack-base/tree/deno [deno-readme]: https://github.com/stdlib-js/lapack-base/blob/deno/README.md [umd-url]: https://github.com/stdlib-js/lapack-base/tree/umd [umd-readme]: https://github.com/stdlib-js/lapack-base/blob/umd/README.md [esm-url]: https://github.com/stdlib-js/lapack-base/tree/esm [esm-readme]: https://github.com/stdlib-js/lapack-base/blob/esm/README.md [branches-url]: https://github.com/stdlib-js/lapack-base/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/lapack-base/main/LICENSE

[@stdlib/lapack/base/clacgv]: https://www.npmjs.com/package/@stdlib/lapack-base-clacgv

[@stdlib/lapack/base/clacpy]: https://www.npmjs.com/package/@stdlib/lapack-base-clacpy

[@stdlib/lapack/base/claset]: https://www.npmjs.com/package/@stdlib/lapack-base-claset

[@stdlib/lapack/base/claswp]: https://www.npmjs.com/package/@stdlib/lapack-base-claswp

[@stdlib/lapack/base/crot]: https://www.npmjs.com/package/@stdlib/lapack-base-crot

[@stdlib/lapack/base/dge-trans]: https://www.npmjs.com/package/@stdlib/lapack-base-dge-trans

[@stdlib/lapack/base/dgttrf]: https://www.npmjs.com/package/@stdlib/lapack-base-dgttrf

[@stdlib/lapack/base/dlacpy]: https://www.npmjs.com/package/@stdlib/lapack-base-dlacpy

[@stdlib/lapack/base/dladiv]: https://www.npmjs.com/package/@stdlib/lapack-base-dladiv

[@stdlib/lapack/base/dlamch]: https://www.npmjs.com/package/@stdlib/lapack-base-dlamch

[@stdlib/lapack/base/dlapy2]: https://www.npmjs.com/package/@stdlib/lapack-base-dlapy2

[@stdlib/lapack/base/dlapy3]: https://www.npmjs.com/package/@stdlib/lapack-base-dlapy3

[@stdlib/lapack/base/dlarf1f]: https://www.npmjs.com/package/@stdlib/lapack-base-dlarf1f

[@stdlib/lapack/base/dlaset]: https://www.npmjs.com/package/@stdlib/lapack-base-dlaset

[@stdlib/lapack/base/dlassq]: https://www.npmjs.com/package/@stdlib/lapack-base-dlassq

[@stdlib/lapack/base/dlaswp]: https://www.npmjs.com/package/@stdlib/lapack-base-dlaswp

[@stdlib/lapack/base/dpttrf]: https://www.npmjs.com/package/@stdlib/lapack-base-dpttrf

[@stdlib/lapack/base/iladlc]: https://www.npmjs.com/package/@stdlib/lapack-base-iladlc

[@stdlib/lapack/base/iladlr]: https://www.npmjs.com/package/@stdlib/lapack-base-iladlr

[@stdlib/lapack/base/sge-trans]: https://www.npmjs.com/package/@stdlib/lapack-base-sge-trans

[@stdlib/lapack/base/slacpy]: https://www.npmjs.com/package/@stdlib/lapack-base-slacpy

[@stdlib/lapack/base/slaswp]: https://www.npmjs.com/package/@stdlib/lapack-base-slaswp

[@stdlib/lapack/base/spttrf]: https://www.npmjs.com/package/@stdlib/lapack-base-spttrf

[@stdlib/lapack/base/zlacgv]: https://www.npmjs.com/package/@stdlib/lapack-base-zlacgv

[@stdlib/lapack/base/zlacpy]: https://www.npmjs.com/package/@stdlib/lapack-base-zlacpy

[@stdlib/lapack/base/zlaset]: https://www.npmjs.com/package/@stdlib/lapack-base-zlaset

[@stdlib/lapack/base/zlaswp]: https://www.npmjs.com/package/@stdlib/lapack-base-zlaswp

[@stdlib/lapack/base/zrot]: https://www.npmjs.com/package/@stdlib/lapack-base-zrot


  
    About stdlib...
  

  We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

  The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

  When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

  To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

`LAPACK`

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Base (i.e., lower-level) linear algebra package (LAPACK) routines.

`Installation`

``bash npm install @stdlib/lapack-base `

`Usage`

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

#### lapack

Namespace for "base" (i.e., lower-level) linear algebra package (LAPACK) routines.

`javascript var o = lapack; // returns {...} `

The namespace contains the following:

- [clacgv( N, cx, strideCX )][@stdlib/lapack/base/clacgv]: conjugate each element in a single-precision complex floating-point vector. - [clacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/clacpy]: copy all or part of a matrix A to another matrix B. - [claset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/claset]: set the off-diagonal elements and the diagonal elements of a single-precision complex floating-point matrix to specified values. - [claswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/claswp]: perform a series of row interchanges on an input matrix. - [crot( N, cx, strideCX, cy, strideCY, c, s )][@stdlib/lapack/base/crot]: apply a plane rotation with real cosine and complex sine to a pair of single-precision complex floating-point vectors. - [dgetrans( order, M, N, A, LDA, out, LDO )][@stdlib/lapack/base/dge-trans]: convert a matrix from row-major layout to column-major layout or vice versa. - [dgttrf( N, DL, D, DU, DU2, IPIV )][@stdlib/lapack/base/dgttrf]: compute an LU factorization of a real tridiagonal matrix A using elimination with partial pivoting and row interchanges. - [dlacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/dlacpy]: copy all or part of a matrix A to another matrix B. - [dladiv( a, b, c, d, P, Q )][@stdlib/lapack/base/dladiv]: divide two double-precision complex floating-point numbers in real arithmetic. - [dlamch( cmach )][@stdlib/lapack/base/dlamch]: determine double-precision floating-point machine parameters. - [dlapy2( x, y )][@stdlib/lapack/base/dlapy2]: LAPACK routine to calculate sqrt(x^2 + y^2) in a manner which doesn't cause unnecessary overflow. - [dlapy3( x, y, z )][@stdlib/lapack/base/dlapy3]: LAPACK routine to calculate sqrt(x^2 + y^2 + z^2) in a manner which doesn't cause unnecessary overflow. - [dlarf1f( order, side, M, N, V, strideV, tau, C, LDC, work )][@stdlib/lapack/base/dlarf1f]: apply a real elementary reflector H = I - tau v v^T to a real M by N matrix C. - [dlaset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/dlaset]: set the off-diagonal elements and the diagonal elements of a double-precision floating-point matrix to specified values. - [dlassq( N, X, strideX, scale, sumsq )][@stdlib/lapack/base/dlassq]: return an updated sum of squares represented in scaled form. - [dlaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/dlaswp]: perform a series of row interchanges on an input matrix. - [dpttrf( N, D, E )][@stdlib/lapack/base/dpttrf]: compute the L D L^T factorization of a real symmetric positive definite tridiagonal matrix A. - [iladlc( order, M, N, A, LDA )][@stdlib/lapack/base/iladlc]: find the index of the last non-zero column in a matrix A. - [iladlr( order, M, N, A, LDA )][@stdlib/lapack/base/iladlr]: find the index of the last non-zero row in a matrix A. - [sgetrans( order, M, N, A, LDA, out, LDO )][@stdlib/lapack/base/sge-trans]: convert a matrix from row-major layout to column-major layout or vice versa. - [slacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/slacpy]: copy all or part of a matrix A to another matrix B. - [slaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/slaswp]: perform a series of row interchanges on an input matrix. - [spttrf( N, D, E )][@stdlib/lapack/base/spttrf]: compute the L D L^T factorization of a real symmetric positive definite tridiagonal matrix A. - [zlacgv( N, zx, strideZX )][@stdlib/lapack/base/zlacgv]: conjugate each element in a double-precision complex floating-point vector. - [zlacpy( order, uplo, M, N, A, LDA, B, LDB )][@stdlib/lapack/base/zlacpy]: copy all or part of a matrix A to another matrix B. - [zlaset( order, uplo, M, N, alpha, beta, A, LDA )][@stdlib/lapack/base/zlaset]: set the off-diagonal elements and the diagonal elements of a double-precision complex floating-point matrix to specified values. - [zlaswp( N, A, LDA, k1, k2, IPIV, incx )][@stdlib/lapack/base/zlaswp]: perform a series of row interchanges on an input matrix. - [zrot( N, zx, strideX, zy, strideY, c, s )][@stdlib/lapack/base/zrot]: apply a plane rotation with real cosine and complex sine to a pair of double-precision complex floating-point vectors.

`Examples`

`javascript var objectKeys = require( '@stdlib/utils-keys' ); var lapack = require( '@stdlib/lapack-base' );

console.log( objectKeys( lapack ) ); `