Mixing
When Singular Value and Eigenvalue are coincide
0
$begingroup$
For which matrix Singular Value and Eigenvalue are coincide?
I found this question about it, but is their any definition for all the the matrix in with this group
linear-algebra matrices eigenvalues-eigenvectors singularvalues
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
$endgroup$
add a comment |
0
$begingroup$
For which matrix Singular Value and Eigenvalue are coincide?
I found this question about it, but is their any definition for all the the matrix in with this group
linear-algebra matrices eigenvalues-eigenvectors singularvalues
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
$endgroup$
2
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
1
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
1
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50
add a comment |
0
0
0
$begingroup$
For which matrix Singular Value and Eigenvalue are coincide?
I found this question about it, but is their any definition for all the the matrix in with this group
linear-algebra matrices eigenvalues-eigenvectors singularvalues
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
$endgroup$
For which matrix Singular Value and Eigenvalue are coincide?
I found this question about it, but is their any definition for all the the matrix in with this group
linear-algebra matrices eigenvalues-eigenvectors singularvalues
linear-algebra matrices eigenvalues-eigenvectors singularvalues
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
asked Feb 1 at 0:02
ChaosPredictorChaosPredictor
1295
1295
2
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
1
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
1
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50
add a comment |
2
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
1
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
1
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50
2
2
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
1
1
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
1
1
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3095653%2fwhen-singular-value-and-eigenvalue-are-coincide%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
draft saved
draft discarded
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3095653%2fwhen-singular-value-and-eigenvalue-are-coincide%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
2
$begingroup$
A matrix's singular values and eigenvalues will coincide if and only if the matrix is symmetric (Hermitian) and positive definite
$endgroup$
– Omnomnomnom
Feb 1 at 0:05
1
$begingroup$
@Omnomnomnom Thanks, for Positive Semi Definite it doesn't work? I think it do
$endgroup$
– ChaosPredictor
Feb 1 at 0:08
$begingroup$
@Omnomnomnom: I believe Hermitian positive definite $implies$ singular values = eigenvalues but I don't think the converse holds. Consider, for example, the zero matrix, whose eigenvalues and singular values clearly coincide.
$endgroup$
– parsiad
Feb 1 at 0:44
1
$begingroup$
about Positive Semi Definite math.stackexchange.com/questions/1162963/…
$endgroup$
– ChaosPredictor
Feb 1 at 0:50