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tensorflow:: ops:: MatrixBandPart

``` #include <array_ops.h> ```

Copy a tensor setting everything outside a central band in each innermost matrix to zero.

Summary

The ``` band ``` part is computed as follows: Assume ``` input ``` has ``` k ``` dimensions ``` [I, J, K, ..., M, N] ``` , then the output is a tensor with the same shape where

``` band[i, j, k, ..., m, n] = in_band(m, n) * input[i, j, k, ..., m, n] ``` .

The indicator function

``` in_band(m, n) = (num_lower < 0 || (m-n) <= num_lower)) && (num_upper < 0 || (n-m) <= num_upper) ``` .

For example:

```# if 'input' is [[ 0,  1,  2, 3]
#                [-1,  0,  1, 2]
#                [-2, -1,  0, 1]
#                [-3, -2, -1, 0]],```

```tf.linalg.band_part(input, 1, -1) ==> [[ 0,  1,  2, 3]
[-1,  0,  1, 2]
[ 0, -1,  0, 1]
[ 0,  0, -1, 0]],```

```tf.linalg.band_part(input, 2, 1) ==> [[ 0,  1,  0, 0]
[-1,  0,  1, 0]
[-2, -1,  0, 1]
[ 0, -2, -1, 0]]
```

Useful special cases:

``` tf.linalg.band_part(input, 0, -1) ==> Upper triangular part.
tf.linalg.band_part(input, -1, 0) ==> Lower triangular part.
tf.linalg.band_part(input, 0, 0) ==> Diagonal.
```

Args:

• scope: A Scope object
• input: Rank ``` k ``` tensor.
• num_lower: 0-D tensor. Number of subdiagonals to keep. If negative, keep entire lower triangle.
• num_upper: 0-D tensor. Number of superdiagonals to keep. If negative, keep entire upper triangle.

Returns:

• ``` Output ``` : Rank ``` k ``` tensor of the same shape as input. The extracted banded tensor.

Constructors and Destructors

``` MatrixBandPart (const :: tensorflow::Scope & scope, :: tensorflow::Input input, :: tensorflow::Input num_lower, :: tensorflow::Input num_upper) ```

Public attributes

``` band ```
``` :: tensorflow::Output ```
``` operation ```
``` Operation ```

Public functions

``` node () const ```
``` ::tensorflow::Node * ```
``` operator::tensorflow::Input () const ```
``` ```
``` operator::tensorflow::Output () const ```
``` ```

Public attributes

band

`::tensorflow::Output band`

operation

`Operation operation`

Public functions

MatrixBandPart

``` MatrixBandPart(
const ::tensorflow::Scope & scope,
::tensorflow::Input input,
::tensorflow::Input num_lower,
::tensorflow::Input num_upper
)```

node

`::tensorflow::Node * node() const `

operator::tensorflow::Input

` operator::tensorflow::Input() const `

operator::tensorflow::Output

` operator::tensorflow::Output() const `
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