v0.5.11

Author: Nelson-numerical-software

en/README.md

@@ -1,6 +1,6 @@
 ![banner](banner_homepage.png)
 
-### Nelson 0.5.10.0
+### Nelson 0.5.11.0
 
 This is an pre-release of Nelson.
 

en/SUMMARY.md

@@ -132,6 +132,7 @@
     * [all](./operators/all.md)
     * [and](./operators/and.md)
     * [any](./operators/any.md)
+    * [cat](./operators/cat.md)
     * [colon](./operators/colon.md)
     * [ctranspose](./operators/ctranspose.md)
     * [eq](./operators/eq.md)
@@ -187,15 +188,18 @@
     * [flipud](./elementary_functions/flipud.md)
     * [floor](./elementary_functions/floor.md)
     * [hex2dec](./elementary_functions/hex2dec.md)
+    * [hilb](./elementary_functions/hilb.md)
     * [imag](./elementary_functions/imag.md)
     * [ind2sub](./elementary_functions/ind2sub.md)
+    * [invhilb](./elementary_functions/invhilb.md)
     * [isapprox](./elementary_functions/isapprox.md)
     * [istriu](./elementary_functions/isdiag.md)
     * [isequal](./elementary_functions/isequal.md)
     * [isequaln](./elementary_functions/isequaln.md)
     * [isequalto](./elementary_functions/isequalto.md)
     * [isfinite](./elementary_functions/isfinite.md)
     * [isinf](./elementary_functions/isinf.md)
+    * [ismatrix](./elementary_functions/ismatrix.md)
     * [isnan](./elementary_functions/isnan.md)
     * [istril](./elementary_functions/istril.md)
     * [istriu](./elementary_functions/istriu.md)
@@ -224,6 +228,7 @@
     * [sign](./elementary_functions/sign.md)
     * [size](./elementary_functions/size.md)
     * [sqrt](./elementary_functions/sqrt.md)
+    * [squeeze](./elementary_functions/squeeze.md)
     * [sub2ind](./elementary_functions/sub2ind.md)
     * [swapbytes](./elementary_functions/swapbytes.md)
     * [tril](./elementary_functions/tril.md)
@@ -352,6 +357,7 @@
     * [nnz](./sparse/nnz.md)
     * [nzmax](./sparse/nzmax.md)
     * [sparse](./sparse/sparse.md)
+    * [speye](./sparse/speye.md)
 
 
 * [logical](./logical/README.md)
@@ -557,13 +563,15 @@
 
 * [linear_algebra](./linear_algebra/README.md)
     * [chol](./linear_algebra/chol.md)
+    * [cond](./linear_algebra/cond.md)
     * [det](./linear_algebra/det.md)
     * [eig](./linear_algebra/eig.md)
     * [expm](./linear_algebra/expm.md)
     * [inv](./linear_algebra/inv.md)
     * [ishermitian](./linear_algebra/ishermitian.md)
     * [issymmetric](./linear_algebra/issymmetric.md)
     * [logm](./linear_algebra/logm.md)
+    * [rank](./linear_algebra/rank.md)
     * [rcond](./linear_algebra/rcond.md)
     * [schur](./linear_algebra/schur.md)
     * [sqrtm](./linear_algebra/sqrtm.md)
@@ -627,6 +635,7 @@
 * [random](./random/README.md)
     * [rand](./random/rand.md)
     * [randn](./random/randn.md)
+    * [randperm](./random/randperm.md)
     * [rng](./random/rng.md)
 
 

en/changelogs/CHANGELOG.md

@@ -1,3 +1,24 @@
+# 0.5.11 (2021-11-26)
+
+## Added
+
+- `hilb` function: Hilbert matrix.
+- `invhilb` function: Inverse of Hilbert matrix.
+- `cond` function: Condition number for inversion.
+- `rank` function: Rank of matrix.
+- `ismatrix` function: Determines whether input is matrix.
+- `squeeze` function: Removes dimensions of length 1.
+- `speye` function: Sparse identity matrix.
+- `randperm` function: Random permutation.
+- `cat` function: Concatenate arrays.
+- `SECURITY.md` file as recommended by Github.
+
+## Fixed
+
+- `vercat`, `horzcat` returns an empty array whose size is equal to the output size as when the inputs are nonempty.
+- [#533](http://github.com/Nelson-numerical-software/nelson/issues/533): `find` with one lhs did not return expected result with complex.
+- [#536](http://github.com/Nelson-numerical-software/nelson/issues/536): `test_websave_3` failed randomly due to distant server.
+
 # 0.5.10 (2021-10-30)
 
 - Polynomial functions:

en/elementary_functions/README.md

@@ -31,15 +31,18 @@ elementary functions
 * [flipud](flipud.md) - Flip order of elements up to dow
 * [floor](floor.md) - Round down
 * [hex2dec](hex2dec.md) - Convert number in base 16 to decimal.
+* [hilb](hilb.md) - Hilbert matrix
 * [imag](imag.md) - Imaginary part of an complex number.
 * [ind2sub](ind2sub.md) - Linear index to matrix subscript values
+* [invhilb](invhilb.md) - Inverse of Hilbert matrix
 * [isapprox](isapprox.md) - Return true if arguments are approximately equal, within the precision.
 * [istriu](isdiag.md) - Checks if matrix is diagonal.
 * [isequal](isequal.md) - Return true if all arguments x1, x2, ... , xn are equal (same dimensions, same values).
 * [isequaln](isequaln.md) - Return true if all arguments x1, x2, ... , xn are equal (same dimensions, same values or NaNs).
 * [isequalto](isequalto.md) - Return true if all arguments x1, x2, ... , xn are equal (same type, same dimensions, same values or NaNs).
 * [isfinite](isfinite.md) - Check for finite entries.
 * [isinf](isinf.md) - Check for Infinity entries.
+* [ismatrix](ismatrix.md) - determines whether input is matrix or not
 * [isnan](isnan.md) - Check for Not a Number entries.
 * [istril](istril.md) - Checks if matrix is lower triangular.
 * [istriu](istriu.md) - Checks if matrix is upper triangular.
@@ -68,6 +71,7 @@ elementary functions
 * [sign](sign.md) - Find the sign function of a number.
 * [size](size.md) - Size of an object.
 * [sqrt](sqrt.md) - Square root.
+* [squeeze](squeeze.md) - Remove dimensions of length 1.
 * [sub2ind](sub2ind.md) - Matrix subscript values to linear index
 * [swapbytes](swapbytes.md) - Swap byte ordering.
 * [tril](tril.md) - Lower triangular part of matrix

en/elementary_functions/SUMMARY.md

@@ -22,15 +22,18 @@
     * [flipud](flipud.md)
     * [floor](floor.md)
     * [hex2dec](hex2dec.md)
+    * [hilb](hilb.md)
     * [imag](imag.md)
     * [ind2sub](ind2sub.md)
+    * [invhilb](invhilb.md)
     * [isapprox](isapprox.md)
     * [istriu](isdiag.md)
     * [isequal](isequal.md)
     * [isequaln](isequaln.md)
     * [isequalto](isequalto.md)
     * [isfinite](isfinite.md)
     * [isinf](isinf.md)
+    * [ismatrix](ismatrix.md)
     * [isnan](isnan.md)
     * [istril](istril.md)
     * [istriu](istriu.md)
@@ -59,6 +62,7 @@
     * [sign](sign.md)
     * [size](size.md)
     * [sqrt](sqrt.md)
+    * [squeeze](squeeze.md)
     * [sub2ind](sub2ind.md)
     * [swapbytes](swapbytes.md)
     * [tril](tril.md)

en/elementary_functions/hilb.md

@@ -0,0 +1,52 @@
+
+
+# hilb
+
+Hilbert matrix
+
+## Syntax
+
+- h = invhilb(n)
+- h = invhilb(n, className)
+
+## Input argument
+
+ - n - a scalar, nonnegative integer.
+ - className - 'single' or 'double' (default).
+
+## Output argument
+
+ - h - Hilbert matrix.
+
+## Description
+
+
+  <p><b>hilb</b> computes the exact inverse of the exact Hilbert matrix.</p>
+
+
+Bibliography
+
+https://en.wikipedia.org/wiki/David_Hilbert, and Thanks to https://nhigham.com/2020/06/30/what-is-the-hilbert-matrix/
+
+## Example
+
+```matlab
+h = invhilb(5)
+```
+
+## See also
+
+[hilb](hilb.md).
+## History
+
+|Version|Description|
+|------|------|
+|1.0.0|initial version|
+
+
+## Author
+
+Allan CORNET
+
+
+

en/elementary_functions/invhilb.md

@@ -0,0 +1,52 @@
+
+
+# invhilb
+
+Inverse of Hilbert matrix
+
+## Syntax
+
+- h = hilb(n)
+- h = hilb(n, className)
+
+## Input argument
+
+ - n - a scalar, nonnegative integer.
+ - className - 'single' or 'double' (default).
+
+## Output argument
+
+ - h - Hilbert matrix.
+
+## Description
+
+
+  <p><b>hilb</b> computes the Hilbert matrix.</p>
+
+
+Bibliography
+
+https://en.wikipedia.org/wiki/David_Hilbert, and Thanks to https://nhigham.com/2020/06/30/what-is-the-hilbert-matrix/
+
+## Example
+
+```matlab
+h = hilb(5)
+```
+
+## See also
+
+[invhilb](invhilb.md).
+## History
+
+|Version|Description|
+|------|------|
+|1.0.0|initial version|
+
+
+## Author
+
+Allan CORNET
+
+
+

en/elementary_functions/ismatrix.md

@@ -0,0 +1,49 @@
+
+
+# ismatrix
+
+determines whether input is matrix or not
+
+## Syntax
+
+- TF = ismatrix(A)
+
+## Input argument
+
+ - A - input array as a scalar, vector, matrix, or multidimensional array.
+
+## Output argument
+
+ - TF - a logical: true if it is a matrix.
+
+## Description
+
+
+  <p><b>TF = ismatrix(A)</b> returns true if A is a matrix.</p>
+  <p>A matrix is a two-dimensional array that has a size of m-by-n, where m and n are nonnegative integers.</p>
+
+
+## Example
+
+```matlab
+x = [1+i,-i;i,2i];
+ismatrix(x)
+ismatrix(ones(3,1,2))
+```
+
+## See also
+
+[isvector](isvector.md).
+## History
+
+|Version|Description|
+|------|------|
+|1.0.0|initial version|
+
+
+## Author
+
+Allan CORNET
+
+
+

en/elementary_functions/squeeze.md

@@ -0,0 +1,48 @@
+
+
+# squeeze
+
+Remove dimensions of length 1.
+
+## Syntax
+
+- B = squeeze(A)
+
+## Input argument
+
+ - A - input array: multidimensional array
+
+## Output argument
+
+ - B - output array.
+
+## Description
+
+
+  <p><b>B = squeeze(A)</b> returns an array with the same elements as the input array A, but with dimensions of length 1 removed.</p>
+
+
+## Example
+
+```matlab
+A = zeros(1, 1, 3);
+A(:, :, 1:3) = [1 20 3];
+R = squeeze(A)
+```
+
+## See also
+
+[reshape](reshape.md).
+## History
+
+|Version|Description|
+|------|------|
+|1.0.0|initial version|
+
+
+## Author
+
+Allan CORNET
+
+
+

en/linear_algebra/README.md

@@ -9,13 +9,15 @@ linear algebra functions
 
 
 * [chol](chol.md) - Cholesky factorization.
+* [cond](cond.md) - Condition number for inversion.
 * [det](det.md) - Matrix determinant.
 * [eig](eig.md) - Eigenvalues and eigenvectors.
 * [expm](expm.md) - Computes the matrix exponential of a square matrix.
 * [inv](inv.md) - Matrix inverse.
 * [ishermitian](ishermitian.md) - Computes if matrix is hermitian or skew-hermitian.
 * [issymmetric](issymmetric.md) - Computes if matrix is symmetric.
 * [logm](logm.md) - Computes the matrix logarithm of a square matrix.
+* [rank](rank.md) - Rank of matrix.
 * [rcond](rcond.md) - Inverse condition number.
 * [schur](schur.md) - Schur decomposition.
 * [sqrtm](sqrtm.md) - Computes the matrix square root of a square matrix.