chore(deps): bump ndarray-linalg from 0.16.0 to 0.18.1 in /v2 (#477)

Bumps [ndarray-linalg](https://github.com/rust-ndarray/ndarray-linalg) from 0.16.0 to 0.18.1.
- [Release notes](https://github.com/rust-ndarray/ndarray-linalg/releases)
- [Commits](https://github.com/rust-ndarray/ndarray-linalg/compare/ndarray-linalg-v0.16.0...ndarray-linalg-v0.18.1)

---
updated-dependencies:
- dependency-name: ndarray-linalg
  dependency-version: 0.18.1
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

v2/Cargo.lock

@@ -180,15 +180,6 @@ version = "1.0.102"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "7f202df86484c868dbad7eaa557ef785d5c66295e41b460ef922eca0723b842c"
 
-[[package]]
-name = "approx"
-version = "0.4.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3f2a05fd1bd10b2527e20a2cd32d8873d115b8b39fe219ee25f42a8aca6ba278"
-dependencies = [
- "num-traits",
-]
-
 [[package]]
 name = "approx"
 version = "0.5.1"
@@ -2092,7 +2083,7 @@ version = "0.7.18"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "24f8647af4005fa11da47cd56252c6ef030be8fa97bdbf355e7dfb6348f0a82c"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "num-traits",
  "rstar 0.10.0",
  "rstar 0.11.0",
@@ -3138,25 +3129,25 @@ dependencies = [
 
 [[package]]
 name = "lapack-sys"
-version = "0.14.0"
+version = "0.15.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "447f56c85fb410a7a3d36701b2153c1018b1d2b908c5fbaf01c1b04fac33bcbe"
+checksum = "314b879030845b68571809a6978e52d3b67ac5fba07e77b1b317b484092e2fb5"
 dependencies = [
  "libc",
 ]
 
 [[package]]
 name = "lax"
-version = "0.16.0"
+version = "0.18.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1f96a229d9557112e574164f8024ce703625ad9f88a90964c1780809358e53da"
+checksum = "bda593cb87a3b1c06625e73710812005caf1523e45b0b898adcd7716602f8ba2"
 dependencies = [
  "cauchy",
  "katexit",
  "lapack-sys",
  "num-traits",
  "openblas-src",
- "thiserror 1.0.69",
+ "thiserror 2.0.18",
 ]
 
 [[package]]
@@ -3619,7 +3610,7 @@ version = "0.33.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "26aecdf64b707efd1310e3544d709c5c0ac61c13756046aaaba41be5c4f66a3b"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "matrixmultiply",
  "nalgebra-macros",
  "num-complex",
@@ -3672,9 +3663,6 @@ version = "0.15.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "adb12d4e967ec485a5f71c6311fe28158e9d6f4bc4a447b474184d0f91a8fa32"
 dependencies = [
- "approx 0.4.0",
- "cblas-sys",
- "libc",
  "matrixmultiply",
  "num-complex",
  "num-integer",
@@ -3705,6 +3693,9 @@ version = "0.17.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "520080814a7a6b4a6e9070823bb24b4531daac8c4627e08ba5de8c5ef2f2752d"
 dependencies = [
+ "approx",
+ "cblas-sys",
+ "libc",
  "matrixmultiply",
  "num-complex",
  "num-integer",
@@ -3716,18 +3707,18 @@ dependencies = [
 
 [[package]]
 name = "ndarray-linalg"
-version = "0.16.0"
+version = "0.18.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "0b0e8dda0c941b64a85c5deb2b3e0144aca87aced64678adfc23eacea6d2cc42"
+checksum = "eb0783188ff249ab498417e0477f7fade3b312d1d287314ca76de570d9a83ee0"
 dependencies = [
  "cauchy",
  "katexit",
  "lax",
- "ndarray 0.15.6",
+ "ndarray 0.17.2",
  "num-complex",
  "num-traits",
  "rand 0.8.5",
- "thiserror 1.0.69",
+ "thiserror 2.0.18",
 ]
 
 [[package]]
@@ -3955,7 +3946,7 @@ checksum = "830b246a0e5f20af87141b25c173cd1b609bd7779a4617d6ec582abaf90870f3"
 name = "nvsim"
 version = "0.3.0"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "criterion",
  "js-sys",
  "rand 0.8.5",
@@ -6400,7 +6391,7 @@ version = "0.9.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "c99284beb21666094ba2b75bbceda012e610f5479dfcc2d6e2426f53197ffd95"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "num-complex",
  "num-traits",
  "paste",
@@ -8448,7 +8439,7 @@ dependencies = [
 name = "wifi-densepose-hardware"
 version = "0.3.0"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "byteorder",
  "chrono",
  "clap",
@@ -8469,7 +8460,7 @@ name = "wifi-densepose-mat"
 version = "0.3.0"
 dependencies = [
  "anyhow",
- "approx 0.5.1",
+ "approx",
  "async-trait",
  "axum",
  "chrono",
@@ -8538,7 +8529,7 @@ dependencies = [
 name = "wifi-densepose-ruvector"
 version = "0.3.0"
 dependencies = [
- "approx 0.5.1",
+ "approx",
  "criterion",
  "ruvector-attention 2.0.4",
  "ruvector-attn-mincut",
@@ -8607,7 +8598,7 @@ name = "wifi-densepose-train"
 version = "0.3.1"
 dependencies = [
  "anyhow",
- "approx 0.5.1",
+ "approx",
  "chrono",
  "clap",
  "criterion",

v2/Cargo.toml

@@ -57,7 +57,7 @@ tracing-subscriber = { version = "0.3", features = ["env-filter", "json"] }
 
 # Signal processing
 ndarray = { version = "0.15", features = ["serde"] }
-ndarray-linalg = { version = "0.16", features = ["openblas-static"] }
+ndarray-linalg = { version = "0.18", features = ["openblas-static"] }
 rustfft = "6.1"
 num-complex = "0.4"
 num-traits = "0.2"