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lib/node_modules/@stdlib/lapack/base/dgttrf/README.md

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@license Apache-2.0
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Copyright (c) 2024 The Stdlib Authors.
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Copyright (c) 2025 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.

lib/node_modules/@stdlib/lapack/base/dgttrf/docs/repl.txt

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> var DL0 = new {{alias:@stdlib/array/float64}}( [ 0.0, 1.0, 1.0 ] );
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> var D0 = new {{alias:@stdlib/array/float64}}( [ 0.0, 2.0, 3.0, 1.0 ] );
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> var DU0 = new {{alias:@stdlib/array/float64}}( [ 0.0, 1.0, 1.0 ] );
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> var DU2 = new {{alias:@stdlib/array/float64}}( 1 );
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> var IPIV = new {{alias:@stdlib/array/int32}}( 3 );
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> var DU20 = new {{alias:@stdlib/array/float64}}( 2 );
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> var IPIV0 = new {{alias:@stdlib/array/int32}}( 4 );
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> DL = new Float64Array( DL0.buffer, DL0.BYTES_PER_ELEMENT*1 );
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> D = new Float64Array( D0.buffer, D0.BYTES_PER_ELEMENT*1 );
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> DU = new Float64Array( DU0.buffer, DU0.BYTES_PER_ELEMENT*1 );
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> DU2 = new Float64Array( DU20.buffer, DU20.BYTES_PER_ELEMENT*1 );
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> IPIV = new Int32Array( IPIV0.buffer, IPIV0.BYTES_PER_ELEMENT*1 );
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> {{alias}}( 3, DL, D, DU, DU2, IPIV )
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0
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> DL0
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<Float64Array>[ 0, 2, 2.5, 0.6 ]
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> DU0
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<Float64Array>[ 0, 1, 1 ]
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> DU2
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<Float64Array>[ 0 ]
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> IPIV
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<Int32Array>[ 0, 1, 2 ]
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> DU20
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<Float64Array>[ 0, 0 ]
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> IPIV0
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<Int32Array>[ 0, 0, 1, 2 ]
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{{alias}}.ndarray( N,DL,sdl,odl,D,sd,od,DU,sdu,odu,DU2,sdu2,odu2,IPIV,si,oi )

lib/node_modules/@stdlib/lapack/base/dgttrf/docs/types/index.d.ts

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* Computes an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges.
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*
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* @param N - order of matrix `A`
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`.
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`.
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* @param DU - super diagonal elements of `A`. On exit, `DU` is overwritten by the elements of the first super-diagonal of `U`.
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`.
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`
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* @param DU - super diagonal elements of `A`. On exit, `DU` is overwritten by the elements of the first super-diagonal of `U`
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`
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* @param IPIV - vector of pivot indices
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* @returns status code
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*
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* Computes an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges and alternative indexing semantics.
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*
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* @param N - order of matrix `A`
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`.
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`
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* @param sdl - stride length for `DL`
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* @param odl - starting index of `DL`
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`.
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`
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* @param sd - stride length for `D`
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* @param od - starting index of `D`
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* @param DU - super diagonal elements of `A`. On exit, `DU` is overwritten by the elements of the first super-diagonal of `U`.
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* @param sdu - stride length for `DU`
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* @param odu - starting index of `DU`
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`.
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`
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* @param sdu2 - stride length for `DU2`
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* @param odu2 - starting index of `DU2`
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* @param IPIV - vector of pivot indices
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* LAPACK routine to compute an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges.
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*
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* @param N - order of matrix `A`
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`.
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`.
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* @param DU - super diagonal elements of `A`. On exit, `DU` is overwritten by the elements of the first super-diagonal of `U`.
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`.
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* @param DL - sub diagonal elements of `A`. On exit, `DL` is overwritten by the multipliers that define the matrix `L` from the LU factorization of `A`
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* @param D - diagonal elements of `A`. On exit, `D` is overwritten by the diagonal elements of the upper triangular matrix `U` from the LU factorization of `A`
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* @param DU - super diagonal elements of `A`. On exit, `DU` is overwritten by the elements of the first super-diagonal of `U`
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* @param DU2 - On exit, `DU2` is overwritten by the elements of the second super-diagonal of `U`
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* @param IPIV - vector of pivot indices
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* @returns status code
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*

lib/node_modules/@stdlib/lapack/base/dgttrf/lib/base.js

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* Computes an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges.
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*
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* @private
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* @param {NonNegativeInteger} N - order of matrix A
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A.
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* @param {NonNegativeInteger} N - order of matrix A.
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A
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* @param {integer} sdl - stride length for `DL`
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* @param {NonNegativeInteger} odl - starting index of `DL`
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A.
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A
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* @param {integer} sd - stride length for `D`
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* @param {NonNegativeInteger} od - starting index of `D`
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U.
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U
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* @param {integer} sdu - stride length for `DU`
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* @param {NonNegativeInteger} odu - starting index of `DU`
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U.
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U
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* @param {integer} sdu2 - stride length for `DU2`
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* @param {NonNegativeInteger} odu2 - starting index of `DU2`
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* @param {Int32Array} IPIV - vector of pivot indices

lib/node_modules/@stdlib/lapack/base/dgttrf/lib/dgttrf.js

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* Computes an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges.
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*
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* @param {NonNegativeInteger} N - order of matrix A
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A.
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A.
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U.
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U.
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U
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* @param {Int32Array} IPIV - vector of pivot indices
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* @throws {RangeError} first argument must be a nonnegative integer
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* @returns {integer} status code

lib/node_modules/@stdlib/lapack/base/dgttrf/lib/ndarray.js

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* Computes an LU factorization of a real tri diagonal matrix A using elimination with partial pivoting and row interchanges and alternative indexing semantics.
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*
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* @param {NonNegativeInteger} N - order of matrix A
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A.
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* @param {Float64Array} DL - sub diagonal elements of A. On exit, DL is overwritten by the multipliers that define the matrix L from the LU factorization of A
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* @param {integer} sdl - stride length for `DL`
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* @param {NonNegativeInteger} odl - starting index of `DL`
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A.
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* @param {Float64Array} D - diagonal elements of A. On exit, D is overwritten by the diagonal elements of the upper triangular matrix U from the LU factorization of A
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* @param {integer} sd - stride length for `D`
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* @param {NonNegativeInteger} od - starting index of `D`
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U.
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* @param {Float64Array} DU - super diagonal elements of A. On exit, DU is overwritten by the elements of the first super-diagonal of U
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* @param {integer} sdu - stride length for `DU`
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* @param {NonNegativeInteger} odu - starting index of `DU`
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U.
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* @param {Float64Array} DU2 - On exit, DU2 is overwritten by the elements of the second super-diagonal of U
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* @param {integer} sdu2 - stride length for `DU2`
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* @param {NonNegativeInteger} odu2 - starting index of `DU2`
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* @param {Int32Array} IPIV - vector of pivot indices

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