Fischer's inequality
id:
fischer-s-inequality-244-12056205
title:
Fischer's inequality
text:
In mathematics, Fischer's inequality gives an upper bound for the determinant of a positive-semidefinite matrix whose entries are complex numbers in terms of the determinants of its principal diagonal blocks. Suppose A, C are respectively p×p, q×q positive-semidefinite complex matrices and B is a p×q complex matrix.
Let so that M is a (p+q)×(p+q) matrix. Then Fischer's inequality states that If M is positive-definite, equality is achieved in Fischer's inequality if and only if all the entries of
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wiki
category slug:
encyclopedia
description:
Mathematical bound
original url:
https://en.wikipedia.org/wiki/Fischer%27s_inequality
date created:
date modified:
2024-03-18T12:58:32Z
main entity:
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