Biorthogonal system
id:
biorthogonal-system-308-17092873
title:
Biorthogonal system
text:
In mathematics, a biorthogonal system is a pair of indexed families of vectors such that where E and F form a pair of topological vector spaces that are in duality, ⟨ ⋅ , ⋅ ⟩ is a bilinear mapping and δ i , j is the Kronecker delta. An example is the pair of sets of respectively left and right eigenvectors of a matrix, indexed by eigenvalue, if the eigenvalues are distinct. A biorthogonal system in which E = F and v ~ i = u ~ i is an orthonormal system.
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Biorthogonal_system
date created:
date modified:
2022-09-03T21:05:40Z
main entity:
{"identifier":"Q864692","url":"https://www.wikidata.org/entity/Q864692"}
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13
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13