First integers which satisfies a matrix rank equality
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Let $B_0$ and $B_1$ be a real matrices of size $qtimes p$ and $ptimes q$ respictevely, and let $C$ be a $qtimes q$ matrix such that $rank(C)<q$ ($C$ is singular).
I want to know under what conditions on $B_0$ and $B_1$ there exists an integer $n$ such that we have the equality $B_0(B_1B_0)^n$=$PC$ for some matrix $P$? if it is the case, what is this integer. Thank you.
real-analysis matrices systems-of-equations matrix-equations
asked Nov 25 at 16:44
Gustave
694211
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Let $B_0$ and $B_1$ be a real matrices of size $qtimes p$ and $ptimes q$ respictevely, and let $C$ be a $qtimes q$ matrix such that $rank(C)<q$ ($C$ is singular).
I want to know under what conditions on $B_0$ and $B_1$ there exists an integer $n$ such that we have the equality $B_0(B_1B_0)^n$=$PC$ for some matrix $P$? if it is the case, what is this integer. Thank you.
real-analysis matrices systems-of-equations matrix-equations
asked Nov 25 at 16:44
Gustave
694211
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $B_0$ and $B_1$ be a real matrices of size $qtimes p$ and $ptimes q$ respictevely, and let $C$ be a $qtimes q$ matrix such that $rank(C)<q$ ($C$ is singular).
I want to know under what conditions on $B_0$ and $B_1$ there exists an integer $n$ such that we have the equality $B_0(B_1B_0)^n$=$PC$ for some matrix $P$? if it is the case, what is this integer. Thank you.
real-analysis matrices systems-of-equations matrix-equations
asked Nov 25 at 16:44
Gustave
694211
Let $B_0$ and $B_1$ be a real matrices of size $qtimes p$ and $ptimes q$ respictevely, and let $C$ be a $qtimes q$ matrix such that $rank(C)<q$ ($C$ is singular).
I want to know under what conditions on $B_0$ and $B_1$ there exists an integer $n$ such that we have the equality $B_0(B_1B_0)^n$=$PC$ for some matrix $P$? if it is the case, what is this integer. Thank you.
real-analysis matrices systems-of-equations matrix-equations
real-analysis matrices systems-of-equations matrix-equations
asked Nov 25 at 16:44
Gustave
694211
asked Nov 25 at 16:44
Gustave
694211
edited Nov 25 at 16:51
asked Nov 25 at 16:44
Gustave
694211
asked Nov 25 at 16:44
Gustave
694211
asked Nov 25 at 16:44
Gustave
694211
694211
add a comment |
add a comment |
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