rayleigh quotient method - how to find all eigenvalues?
$begingroup$
I have implemented rayleigh quotient method following this algorithm:
This algorithm lets me compute only one eigenvalue. I know, that rayleigh quotient method is dependent on starting conditions, so my question is: Can I compute starting conditions to find next eigenvalue, when i have one eigenvalue and eigenvector? Or maybe i need use something like Hotelling deflation?
Regards
eigenvalues-eigenvectors
edited Jan 7 at 15:19
Arthur
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
$endgroup$
add a comment |
$begingroup$
I have implemented rayleigh quotient method following this algorithm:
This algorithm lets me compute only one eigenvalue. I know, that rayleigh quotient method is dependent on starting conditions, so my question is: Can I compute starting conditions to find next eigenvalue, when i have one eigenvalue and eigenvector? Or maybe i need use something like Hotelling deflation?
Regards
eigenvalues-eigenvectors
edited Jan 7 at 15:19
Arthur
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
$endgroup$
add a comment |
$begingroup$
I have implemented rayleigh quotient method following this algorithm:
This algorithm lets me compute only one eigenvalue. I know, that rayleigh quotient method is dependent on starting conditions, so my question is: Can I compute starting conditions to find next eigenvalue, when i have one eigenvalue and eigenvector? Or maybe i need use something like Hotelling deflation?
Regards
eigenvalues-eigenvectors
edited Jan 7 at 15:19
Arthur
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
$endgroup$
I have implemented rayleigh quotient method following this algorithm:
This algorithm lets me compute only one eigenvalue. I know, that rayleigh quotient method is dependent on starting conditions, so my question is: Can I compute starting conditions to find next eigenvalue, when i have one eigenvalue and eigenvector? Or maybe i need use something like Hotelling deflation?
Regards
eigenvalues-eigenvectors
eigenvalues-eigenvectors
edited Jan 7 at 15:19
Arthur
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
edited Jan 7 at 15:19
Arthur
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
edited Jan 7 at 15:19
Arthur
123k7122211
edited Jan 7 at 15:19
Arthur
123k7122211
edited Jan 7 at 15:19
Arthur
123k7122211
123k7122211
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
asked Jan 7 at 15:12
MikolajMGTMikolajMGT
11
11
add a comment |
add a comment |
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