Bounds on singular values of invertible 0-1 matrices
up vote
0
down vote
favorite
I'm interested in considering digraphs from an algebraic perspective, which leads me to the following question.
Consider an invertible 0-1 matrix of shape $n times n$. What lower and upper bounds are known about its singular values? Are there any results for the special case of invertible upper-triangular 0-1 matrices, at least?
matrices graph-theory singularvalues
add a comment |
up vote
0
down vote
favorite
I'm interested in considering digraphs from an algebraic perspective, which leads me to the following question.
Consider an invertible 0-1 matrix of shape $n times n$. What lower and upper bounds are known about its singular values? Are there any results for the special case of invertible upper-triangular 0-1 matrices, at least?
matrices graph-theory singularvalues
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm interested in considering digraphs from an algebraic perspective, which leads me to the following question.
Consider an invertible 0-1 matrix of shape $n times n$. What lower and upper bounds are known about its singular values? Are there any results for the special case of invertible upper-triangular 0-1 matrices, at least?
matrices graph-theory singularvalues
I'm interested in considering digraphs from an algebraic perspective, which leads me to the following question.
Consider an invertible 0-1 matrix of shape $n times n$. What lower and upper bounds are known about its singular values? Are there any results for the special case of invertible upper-triangular 0-1 matrices, at least?
matrices graph-theory singularvalues
matrices graph-theory singularvalues
asked Nov 23 at 23:14
Niel de Beaudrap
4,93012036
4,93012036
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
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.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- 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.
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%2f3010956%2fbounds-on-singular-values-of-invertible-0-1-matrices%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