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Gram–Schmidt process and Projection (linear algebra)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Gram–Schmidt process and Projection (linear algebra)

Gram–Schmidt process vs. Projection (linear algebra)

In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process is a method for orthonormalising a set of vectors in an inner product space, most commonly the Euclidean space Rn equipped with the standard inner product. In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

Similarities between Gram–Schmidt process and Projection (linear algebra)

Gram–Schmidt process and Projection (linear algebra) have 10 things in common (in Unionpedia): Dot product, Hilbert space, Householder transformation, Inner product space, Linear algebra, Matrix (mathematics), Ordinary least squares, Orthogonalization, Orthonormal basis, QR decomposition.

Dot product

In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.

Dot product and Gram–Schmidt process · Dot product and Projection (linear algebra) · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Gram–Schmidt process and Hilbert space · Hilbert space and Projection (linear algebra) · See more »

Householder transformation

In linear algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes a reflection about a plane or hyperplane containing the origin.

Gram–Schmidt process and Householder transformation · Householder transformation and Projection (linear algebra) · See more »

Inner product space

In linear algebra, an inner product space is a vector space with an additional structure called an inner product.

Gram–Schmidt process and Inner product space · Inner product space and Projection (linear algebra) · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Gram–Schmidt process and Linear algebra · Linear algebra and Projection (linear algebra) · See more »

Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Gram–Schmidt process and Matrix (mathematics) · Matrix (mathematics) and Projection (linear algebra) · See more »

Ordinary least squares

In statistics, ordinary least squares (OLS) or linear least squares is a method for estimating the unknown parameters in a linear regression model.

Gram–Schmidt process and Ordinary least squares · Ordinary least squares and Projection (linear algebra) · See more »

Orthogonalization

In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace.

Gram–Schmidt process and Orthogonalization · Orthogonalization and Projection (linear algebra) · See more »

Orthonormal basis

In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.

Gram–Schmidt process and Orthonormal basis · Orthonormal basis and Projection (linear algebra) · See more »

QR decomposition

In linear algebra, a QR decomposition (also called a QR factorization) of a matrix is a decomposition of a matrix A into a product A.

Gram–Schmidt process and QR decomposition · Projection (linear algebra) and QR decomposition · See more »

The list above answers the following questions

Gram–Schmidt process and Projection (linear algebra) Comparison

Gram–Schmidt process has 47 relations, while Projection (linear algebra) has 66. As they have in common 10, the Jaccard index is 8.85% = 10 / (47 + 66).

References

This article shows the relationship between Gram–Schmidt process and Projection (linear algebra). To access each article from which the information was extracted, please visit:

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