Finding an Upper bound of a matrix
Multi tool use
$begingroup$
How do I find the upper bound of $left( v^{T}U_{n}D_{nn}U_{n}vright)$ where $v$ is the covariance between each point $x_i$ in a domain $D$ and a new location $x*$. $U_{n};text{and}; D_{nn}$ are the eigenvectors and eigenvalues of a matrix $A$. So I know I can write $v = sigma^{2}rho^{2}(x_i,x*)$ but bounding $left( v^{T}U_{n}D_{nn}U_{n}vright)$ has been a challenge to me. I was reading a paper on uniform error bound but I think,Its way different from what I seek to achieve. Any help or hint on how to proceed will be much appreciated.
matrices upper-lower-bounds
asked Dec 6 '18 at 9:39
KsmithKsmith
213
$endgroup$
add a comment |
$begingroup$
How do I find the upper bound of $left( v^{T}U_{n}D_{nn}U_{n}vright)$ where $v$ is the covariance between each point $x_i$ in a domain $D$ and a new location $x*$. $U_{n};text{and}; D_{nn}$ are the eigenvectors and eigenvalues of a matrix $A$. So I know I can write $v = sigma^{2}rho^{2}(x_i,x*)$ but bounding $left( v^{T}U_{n}D_{nn}U_{n}vright)$ has been a challenge to me. I was reading a paper on uniform error bound but I think,Its way different from what I seek to achieve. Any help or hint on how to proceed will be much appreciated.
matrices upper-lower-bounds
asked Dec 6 '18 at 9:39
KsmithKsmith
213
$endgroup$
add a comment |
$begingroup$
How do I find the upper bound of $left( v^{T}U_{n}D_{nn}U_{n}vright)$ where $v$ is the covariance between each point $x_i$ in a domain $D$ and a new location $x*$. $U_{n};text{and}; D_{nn}$ are the eigenvectors and eigenvalues of a matrix $A$. So I know I can write $v = sigma^{2}rho^{2}(x_i,x*)$ but bounding $left( v^{T}U_{n}D_{nn}U_{n}vright)$ has been a challenge to me. I was reading a paper on uniform error bound but I think,Its way different from what I seek to achieve. Any help or hint on how to proceed will be much appreciated.
matrices upper-lower-bounds
asked Dec 6 '18 at 9:39
KsmithKsmith
213
$endgroup$
How do I find the upper bound of $left( v^{T}U_{n}D_{nn}U_{n}vright)$ where $v$ is the covariance between each point $x_i$ in a domain $D$ and a new location $x*$. $U_{n};text{and}; D_{nn}$ are the eigenvectors and eigenvalues of a matrix $A$. So I know I can write $v = sigma^{2}rho^{2}(x_i,x*)$ but bounding $left( v^{T}U_{n}D_{nn}U_{n}vright)$ has been a challenge to me. I was reading a paper on uniform error bound but I think,Its way different from what I seek to achieve. Any help or hint on how to proceed will be much appreciated.
matrices upper-lower-bounds
matrices upper-lower-bounds
asked Dec 6 '18 at 9:39
KsmithKsmith
213
asked Dec 6 '18 at 9:39
KsmithKsmith
213
asked Dec 6 '18 at 9:39
KsmithKsmith
213
asked Dec 6 '18 at 9:39
KsmithKsmith
213
asked Dec 6 '18 at 9:39
KsmithKsmith
213
213
add a comment |
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
});
}
});
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%2f3028272%2ffinding-an-upper-bound-of-a-matrix%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
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.
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%2f3028272%2ffinding-an-upper-bound-of-a-matrix%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
ot qp7ZL3ijZ,JS,zw5PHKYo,Qglp,1,ZTth,3B,FYubvP i0KT4o3pYoJPeQn wZECJs2RbqUUHM fVJ,q 80dK
