Eigenvalues as smooth function [closed]
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Consider a linear transformation $L: mathbbR^n rightarrow mathbbR^n $, so $L$ can be viewed as a matrix with respect to standard basis, then the simple eigenvalues of $L$ are smooth functions on entries of $L$. I'm trying to think about the maps of simple eigenvalues of $L$. Any thought?
linear-algebra matrices functional-analysis
asked Sep 7 at 4:59
zozo123
1
closed as unclear what you're asking by Eric Wofsey, Jendrik Stelzner, daw, user21820, Did Sep 11 at 13:20
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
-2
down vote
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Consider a linear transformation $L: mathbbR^n rightarrow mathbbR^n $, so $L$ can be viewed as a matrix with respect to standard basis, then the simple eigenvalues of $L$ are smooth functions on entries of $L$. I'm trying to think about the maps of simple eigenvalues of $L$. Any thought?
linear-algebra matrices functional-analysis
asked Sep 7 at 4:59
zozo123
1
closed as unclear what you're asking by Eric Wofsey, Jendrik Stelzner, daw, user21820, Did Sep 11 at 13:20
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
3
What exactly is your question?
– daw
Sep 7 at 6:05
add a comment |Â
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
Consider a linear transformation $L: mathbbR^n rightarrow mathbbR^n $, so $L$ can be viewed as a matrix with respect to standard basis, then the simple eigenvalues of $L$ are smooth functions on entries of $L$. I'm trying to think about the maps of simple eigenvalues of $L$. Any thought?
linear-algebra matrices functional-analysis
asked Sep 7 at 4:59
zozo123
1
Consider a linear transformation $L: mathbbR^n rightarrow mathbbR^n $, so $L$ can be viewed as a matrix with respect to standard basis, then the simple eigenvalues of $L$ are smooth functions on entries of $L$. I'm trying to think about the maps of simple eigenvalues of $L$. Any thought?
linear-algebra matrices functional-analysis
linear-algebra matrices functional-analysis
asked Sep 7 at 4:59
zozo123
1
asked Sep 7 at 4:59
zozo123
1
asked Sep 7 at 4:59
zozo123
1
asked Sep 7 at 4:59
zozo123
1
asked Sep 7 at 4:59
zozo123
1
1
closed as unclear what you're asking by Eric Wofsey, Jendrik Stelzner, daw, user21820, Did Sep 11 at 13:20
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by Eric Wofsey, Jendrik Stelzner, daw, user21820, Did Sep 11 at 13:20
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
3
What exactly is your question?
– daw
Sep 7 at 6:05
add a comment |Â
3
What exactly is your question?
– daw
Sep 7 at 6:05
3
3
What exactly is your question?
– daw
Sep 7 at 6:05
What exactly is your question?
– daw
Sep 7 at 6:05
add a comment |Â
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3
What exactly is your question?
– daw
Sep 7 at 6:05