R*******N
发帖数: 7494 | |
d******e
发帖数: 7844 | 2 Tensor?
怎么求解？
【在 R*******N 的大作中提到】
: 怎么求解？
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R*******N
发帖数: 7494 | 3 对，三维矩阵
【在 d******e 的大作中提到】
: Tensor?
:
: 怎么求解？
|
c*******h
发帖数: 1096 | 4 没有
【在 R*******N 的大作中提到】
: 对，三维矩阵
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R*******N
发帖数: 7494 | 5 seems you are fresh underg in math...
【在 c*******h 的大作中提到】
: 没有
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a***n
发帖数: 3633 | 6 一样是求特征多项式啊,
【在 R*******N 的大作中提到】
: 怎么求解？
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c*******h
发帖数: 1096 | 7 三维矩阵的特征多项式是什么
【在 a***n 的大作中提到】
: 一样是求特征多项式啊,
|
c*******h
发帖数: 1096 | 8 i might be no better than an underg math major.
so please tell me more about multidimensional arrays and eigenvalues.
【在 R*******N 的大作中提到】
: seems you are fresh underg in math...
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B********e
发帖数: 10014 | 9 don't you think it's just a matter of definition
if you like i can define it for you,what do you want?
【在 R*******N 的大作中提到】
: 怎么求解？
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c*******h
发帖数: 1096 | 10 interesting. how would you like to define it?
【在 B********e 的大作中提到】
: don't you think it's just a matter of definition
: if you like i can define it for you,what do you want?
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|
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B********e
发帖数: 10014 | 11 let me try just for fun(i honestly don't know if there is any information on
wiki or not, or if there are similar concepts in tensor theory).
first step should be to define concept similar to 'determinant'
how to deinfe this guy? give me some time or anybody any suggestion?
【在 c*******h 的大作中提到】
: interesting. how would you like to define it?
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B********e
发帖数: 10014 | 12 呵呵，貌似不trivial，所以我就不try了
上网搜一下，于千万篇中掕一篇出来
Title:
Eigenvalues and invariants of tensors
Authors:
Qi, Liqun
Publication:
Journal of Mathematical Analysis and Applications, Vol. 325, No. 2, p. 1363
-1377
no offense,其实我只是想说，这个问题不是很有意思
on
【在 B********e 的大作中提到】
: let me try just for fun(i honestly don't know if there is any information on
: wiki or not, or if there are similar concepts in tensor theory).
: first step should be to define concept similar to 'determinant'
: how to deinfe this guy? give me some time or anybody any suggestion?
|
c*******h
发帖数: 1096 | 13 i saw definition of determinant for 2x2x2 tensor.
beyond that, i don't see an obvious way to generalize it.
on
【在 B********e 的大作中提到】
: let me try just for fun(i honestly don't know if there is any information on
: wiki or not, or if there are similar concepts in tensor theory).
: first step should be to define concept similar to 'determinant'
: how to deinfe this guy? give me some time or anybody any suggestion?
|
c*******h
发帖数: 1096 | 14 that's it.
里面说的E-eigenvalue是我目前为止看到过的最靠谱的定义。对矩阵来说，它
的左右eigenvector是对应同一个eigenvalue的，但是这种定义下tensor的各个
mode的eigenvector没有相同的eigenvalue对应。
last, at a glimps the problem may not be interesting enough, but you
never know..
1363
【在 B********e 的大作中提到】
: 呵呵，貌似不trivial，所以我就不try了
: 上网搜一下，于千万篇中掕一篇出来
: Title:
: Eigenvalues and invariants of tensors
: Authors:
: Qi, Liqun
: Publication:
: Journal of Mathematical Analysis and Applications, Vol. 325, No. 2, p. 1363
: -1377
: no offense,其实我只是想说，这个问题不是很有意思
|
R*******N
发帖数: 7494 | 15 But it has numerous application in CS, Financial & Physics,
If you can get a package to do this, you can make numerous papers in these
areas.
【在 B********e 的大作中提到】
: 呵呵，貌似不trivial，所以我就不try了
: 上网搜一下，于千万篇中掕一篇出来
: Title:
: Eigenvalues and invariants of tensors
: Authors:
: Qi, Liqun
: Publication:
: Journal of Mathematical Analysis and Applications, Vol. 325, No. 2, p. 1363
: -1377
: no offense,其实我只是想说，这个问题不是很有意思
|
i*****e
发帖数: 68 | 16 Also, how to define multiplication for multidimensional matrices? |
