diff --git a/CHANGELOG.md b/CHANGELOG.md
index 1692ab33c..3a1df8257 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3696,6 +3696,28 @@ This release closes the following issue:
+
+
+#### [@stdlib/math/base/special/nanmax](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/nanmax)
+
+
+
+
+
+##### Features
+
+- [`bffee89`](https://github.com/stdlib-js/stdlib/commit/bffee891fd783eebc475e8ecefa035025df7f2dd) - add `math/base/special/nanmax`
+
+
+
+
+
+
+
+
+
+
+
#### [@stdlib/math/base/special/nanmin](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/nanmin)
@@ -4464,6 +4486,7 @@ A total of 26 people contributed to this release. Thank you to the following con
+- [`bffee89`](https://github.com/stdlib-js/stdlib/commit/bffee891fd783eebc475e8ecefa035025df7f2dd) - **feat:** add `math/base/special/nanmax` _(by Ridam Garg, stdlib-bot, Philipp Burckhardt)_
- [`46ff6c1`](https://github.com/stdlib-js/stdlib/commit/46ff6c17fe80cb1a7e153ac1fc728d6dab2195cf) - **docs:** update description per conventions _(by Philipp Burckhardt)_
- [`29fbbb6`](https://github.com/stdlib-js/stdlib/commit/29fbbb62d94cb2af1d8856004b75c03daf942053) - **chore:** minor clean-up _(by Philipp Burckhardt)_
- [`fb04f19`](https://github.com/stdlib-js/stdlib/commit/fb04f1968006f8bee36735f9b71d857f478bb6c1) - **refactor:** reduce test tolerance and fix casting [(#2356)](https://github.com/stdlib-js/stdlib/pull/2356) _(by Gunj Joshi)_
diff --git a/base/special/nanmax/README.md b/base/special/nanmax/README.md
new file mode 100644
index 000000000..71d3e2e86
--- /dev/null
+++ b/base/special/nanmax/README.md
@@ -0,0 +1,100 @@
+
+
+# nanmax
+
+> Return the maximum value, ignoring NaN.
+
+
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var nanmax = require( '@stdlib/math/base/special/nanmax' );
+```
+
+#### nanmax( x, y )
+
+Returns the maximum value.
+
+```javascript
+var v = nanmax( 4.2, 3.14 );
+// returns 4.2
+
+v = nanmax( +0.0, -0.0 );
+// returns +0.0
+```
+
+If any argument is `NaN`, the function returns the other operand.
+
+```javascript
+var v = nanmax( 4.2, NaN );
+// returns 4.2
+
+v = nanmax( NaN, 3.14 );
+// returns 3.14
+```
+
+If both arguments are `NaN`, the function returns `NaN`.
+
+```javascript
+var v = nanmax( NaN, NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/base/special/nanmax/benchmark/benchmark.js b/base/special/nanmax/benchmark/benchmark.js
new file mode 100644
index 000000000..e0e94e9e6
--- /dev/null
+++ b/base/special/nanmax/benchmark/benchmark.js
@@ -0,0 +1,55 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var isnan = require( './../../../../base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var nanmax = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var values;
+ var x;
+ var y;
+ var z;
+ var i;
+
+ values = [ 3, 2, 2.0, 1.5, NaN ];
+ x = 0.4;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = values[ i%values.length ];
+ z = nanmax( x, y );
+ if ( isnan( z ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( z ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/base/special/nanmax/docs/types/index.d.ts b/base/special/nanmax/docs/types/index.d.ts
new file mode 100644
index 000000000..ff74e7a9e
--- /dev/null
+++ b/base/special/nanmax/docs/types/index.d.ts
@@ -0,0 +1,45 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Return the maximum value, ignoring NaN.
+*
+* @param x - first number
+* @param y - second number
+* @returns maximum value
+*
+* @example
+* var v = nanmax( 3.14, 4.2 );
+* // returns 4.2
+*
+* @example
+* var v = nanmax( 4.14, NaN );
+* // returns 4.14
+*
+* @example
+* var v = nanmax( NaN, NaN );
+* // returns NaN
+*/
+declare function nanmax( x: number, y: number ): number;
+
+
+// EXPORTS //
+
+export = nanmax;
diff --git a/base/special/nanmax/docs/types/repl.txt b/base/special/nanmax/docs/types/repl.txt
new file mode 100644
index 000000000..fd57db814
--- /dev/null
+++ b/base/special/nanmax/docs/types/repl.txt
@@ -0,0 +1,32 @@
+
+{{alias}}( x, y )
+ Returns the maximum value.
+
+ If one operand is NaN, the other operand is always returned.
+
+ Parameters
+ ----------
+ x: number
+ First number.
+
+ y: number
+ Second number.
+
+ Returns
+ -------
+ out: number
+ Maximum value.
+
+ Examples
+ --------
+ > var v = {{alias}}( 3.14, 4.2 )
+ 4.2
+ > v = {{alias}}( 3.14, NaN )
+ 3.14
+ > v = {{alias}}( NaN, 4.2 )
+ 4.2
+ > v = {{alias}}( NaN, NaN )
+ NaN
+
+ See Also
+ --------
diff --git a/base/special/nanmax/docs/types/test.ts b/base/special/nanmax/docs/types/test.ts
new file mode 100644
index 000000000..78e080627
--- /dev/null
+++ b/base/special/nanmax/docs/types/test.ts
@@ -0,0 +1,51 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import nanmax = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ nanmax( 3.0, -0.4 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided non-number arguments...
+{
+ nanmax( true, 3.0 ); // $ExpectError
+ nanmax( false, 3.0 ); // $ExpectError
+ nanmax( [], 3.0 ); // $ExpectError
+ nanmax( {}, 3.0 ); // $ExpectError
+ nanmax( 'abc', 3.0 ); // $ExpectError
+ nanmax( ( x: number ): number => x, 3.0 ); // $ExpectError
+
+ nanmax( 1.2, true ); // $ExpectError
+ nanmax( 1.2, false ); // $ExpectError
+ nanmax( 1.2, [] ); // $ExpectError
+ nanmax( 1.2, {} ); // $ExpectError
+ nanmax( 1.2, 'abc' ); // $ExpectError
+ nanmax( 1.2, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ nanmax(); // $ExpectError
+ nanmax( 3.0 ); // $ExpectError
+ nanmax( 3.0, 2.0, 1.0 ); // $ExpectError
+}
diff --git a/base/special/nanmax/examples/index.js b/base/special/nanmax/examples/index.js
new file mode 100644
index 000000000..fdc34abf5
--- /dev/null
+++ b/base/special/nanmax/examples/index.js
@@ -0,0 +1,37 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var nanmax = require( './../lib' );
+
+var m = nanmax( 3.0, 4.0 );
+console.log( m );
+// => 4.0
+
+m = nanmax( NaN, 4.0 );
+console.log( m );
+// => 4.0
+
+m = nanmax( 4.0, NaN );
+console.log( m );
+// => 4.0
+
+m = nanmax( NaN, NaN );
+console.log( m );
+// => NaN
diff --git a/base/special/nanmax/lib/index.js b/base/special/nanmax/lib/index.js
new file mode 100644
index 000000000..b11c08d56
--- /dev/null
+++ b/base/special/nanmax/lib/index.js
@@ -0,0 +1,46 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Return the maximum value, ignoring NaN.
+*
+* @module @stdlib/math/base/special/nanmax
+*
+* @example
+* var nanmax = require( '@stdlib/math/base/special/nanmax' );
+*
+* var v = nanmax( 3.14, 4.2 );
+* // returns 4.2
+*
+* v = nanmax( 4.14, NaN );
+* // returns 4.14
+*
+* v = nanmax( NaN, NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var nanmax = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = nanmax;
diff --git a/base/special/nanmax/lib/main.js b/base/special/nanmax/lib/main.js
new file mode 100644
index 000000000..7d2ee7ac4
--- /dev/null
+++ b/base/special/nanmax/lib/main.js
@@ -0,0 +1,58 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var max = require( './../../../../base/special/max');
+var isnan = require( './../../../../base/assert/is-nan');
+
+
+// MAIN //
+
+/**
+* Returns the maximum value, ignoring NaN.
+*
+* @param {number} x - first number
+* @param {number} y - second number
+* @returns {number} maximum value
+*
+* @example
+* var v = nanmax( 3.14, 4.2 );
+* // returns 4.2
+*
+* @example
+* var v = nanmax( 4.14, NaN );
+* // returns 4.14
+*
+* @example
+* var v = nanmax( NaN, NaN);
+* // returns NaN
+*/
+function nanmax( x, y ) {
+ if ( isnan( x ) ) {
+ return ( isnan( y ) ) ? NaN : y;
+ }
+ return ( isnan( y ) ) ? x : max( x, y );
+}
+
+
+// EXPORTS //
+
+module.exports = nanmax;
diff --git a/base/special/nanmax/package.json b/base/special/nanmax/package.json
new file mode 100644
index 000000000..b11a4535a
--- /dev/null
+++ b/base/special/nanmax/package.json
@@ -0,0 +1,61 @@
+{
+ "name": "@stdlib/math/base/special/nanmax",
+ "version": "0.0.0",
+ "description": "Return the maximum value, ignoring NaN.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "lib": "./lib",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "math.max",
+ "maximum",
+ "max",
+ "smallest"
+ ]
+}
diff --git a/base/special/nanmax/test/test.js b/base/special/nanmax/test/test.js
new file mode 100644
index 000000000..5c1669fb6
--- /dev/null
+++ b/base/special/nanmax/test/test.js
@@ -0,0 +1,66 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnan = require( './../../../../base/assert/is-nan' );
+var nanmax = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof nanmax, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if both operands are `NaN`', function test( t ) {
+ var v;
+
+ v = nanmax( NaN, NaN );
+ t.strictEqual( isnan( v ), true, 'returns NaN value' );
+ t.end();
+});
+
+tape( 'the function returns the non-NaN value if one of the operands is `NaN`', function test( t ) {
+ var v;
+
+ v = nanmax( NaN, 3.14 );
+ t.strictEqual( v, 3.14, 'returns not NaN value' );
+
+ v = nanmax( 4.2, NaN );
+ t.strictEqual( v, 4.2, 'returns not NaN value' );
+
+ t.end();
+});
+
+tape( 'the function returns the maximum value', function test( t ) {
+ var v;
+
+ v = nanmax( 5.2, 3.14 );
+ t.strictEqual( v, 5.2, 'returns max value' );
+
+ v = nanmax( -4.2, 3.14 );
+ t.strictEqual( v, 3.14, 'returns max value' );
+
+ t.end();
+});