diff --git a/NEWS.md b/NEWS.md
index b79436318a020..78701f87299fa 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -219,6 +219,8 @@ Deprecated or removed
 External dependencies
 ---------------------
 
+* OpenBLAS has been updated to v0.3.9 ([#35113]).
+
 Tooling Improvements
 ---------------------
 
diff --git a/deps/Versions.make b/deps/Versions.make
index 3ab1df3eba92f..7a391be382325 100644
--- a/deps/Versions.make
+++ b/deps/Versions.make
@@ -4,9 +4,9 @@ PCRE_VER = 10.31
 PCRE_BB_REL = 0
 DSFMT_VER = 2.2.3
 DSFMT_BB_REL = 0
-OPENBLAS_VER = 0.3.7
-OPENBLAS_BB_REL = 9
-LAPACK_VER = 3.5.0
+OPENBLAS_VER = 0.3.9
+OPENBLAS_BB_REL = 4
+LAPACK_VER = 3.9.0
 SUITESPARSE_VER = 5.4.0
 SUITESPARSE_BB_REL = 6
 OPENLIBM_VER = 0.7.0
diff --git a/deps/blas.mk b/deps/blas.mk
index a363d94b5e20f..8753ad9372371 100644
--- a/deps/blas.mk
+++ b/deps/blas.mk
@@ -46,7 +46,7 @@ $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/build-compiled: | $(BUILDDIR)/objconv/build-comp
 endif
 endif
 
-OPENBLAS_FFLAGS := $(JFFLAGS)
+OPENBLAS_FFLAGS := $(JFFLAGS) $(USE_BLAS_FFLAGS)
 OPENBLAS_CFLAGS := -O2
 
 # Decide whether to build for 32-bit or 64-bit arch
@@ -94,12 +94,22 @@ OPENBLAS_BUILD_OPTS += MAKE_NB_JOBS=0
 
 ifneq ($(USE_BINARYBUILDER_OPENBLAS), 1)
 
-$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-winexit.patch-applied: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/source-extracted
+$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-fix-initialization-to-zero-arm64.patch-applied: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/source-extracted
+	cd $(BUILDDIR)/$(OPENBLAS_SRC_DIR) && \
+		patch -p1 -f < $(SRCDIR)/patches/openblas-fix-initialization-to-zero-arm64.patch
+	echo 1 > $@
+
+$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-winexit.patch-applied: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-fix-initialization-to-zero-arm64.patch-applied
 	cd $(BUILDDIR)/$(OPENBLAS_SRC_DIR) && \
 		patch -p1 -f < $(SRCDIR)/patches/openblas-winexit.patch
 	echo 1 > $@
 
-$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/build-configured: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-winexit.patch-applied
+$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-ofast-power.patch-applied: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-winexit.patch-applied
+	cd $(BUILDDIR)/$(OPENBLAS_SRC_DIR) && \
+		patch -p1 -f < $(SRCDIR)/patches/openblas-ofast-power.patch
+	echo 1 > $@
+
+$(BUILDDIR)/$(OPENBLAS_SRC_DIR)/build-configured: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/openblas-ofast-power.patch-applied
 	echo 1 > $@
 
 $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/build-compiled: $(BUILDDIR)/$(OPENBLAS_SRC_DIR)/build-configured
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/md5
deleted file mode 100644
index 6d69fa0b34ddb..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-bb809dca4b027584622792f61c33b9f4
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/sha512
deleted file mode 100644
index 3394cb0ea8b40..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran3.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
-d43d1352d337fc78499f9b3659b3a5d990d86c9a1eb6b8eae5c7e61c77193d4c9c1807627059eea6af702d458a809b9f69279bf064d82869b2d2caa451c24827
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/md5
deleted file mode 100644
index eb8225106f699..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-acc7fe79f2b32d5857a87d7b2adecbb4
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/sha512
deleted file mode 100644
index 2fdaf536cfdfa..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran4.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
-49e40c02581d80ade7322c0dd7e669bb328f19a322b6ec1da53e713ebbc0b732ef9dafdd976a67065a47770c9eca09fd05c887ffa73bf2f0d6ec7d7ad95331e6
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/md5
deleted file mode 100644
index 3f43e437d024d..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-3dce65d807145c5d06f94a69066ee476
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/sha512
deleted file mode 100644
index ed6b0b9cfec6c..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-gnu-libgfortran5.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/md5
deleted file mode 100644
index 86169dad0fe25..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-85c1ae0991f2d830c78b8d3cd56c3028
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/sha512
deleted file mode 100644
index d2a6e7a234e42..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran3.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/md5
deleted file mode 100644
index 8b16b46196632..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-034547de85c068ea1a97d59eae95e36b
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/sha512
deleted file mode 100644
index b4a43e88bf363..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran4.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/md5
deleted file mode 100644
index bc2381428547c..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-a4be0e2aafb3a260e69c5573d92bbd2d
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/sha512
deleted file mode 100644
index 3209f21895a94..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.aarch64-linux-musl-libgfortran5.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
-2f8698f10015bd4b4940aba8145eb9721b496c07d5280d97752afcc3233076eac800b15291e81cad9131571291e0b541bfbe4ae42b020fb4c575548b209e53be
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/md5
deleted file mode 100644
index bb71f5627632e..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-69afcb4164ca001dd397d561bc282680
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/sha512
deleted file mode 100644
index bfbc4c99e432d..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran3.tar.gz/sha512
+++ /dev/null
@@ -1 +0,0 @@
-36ab9a25efb87d58ff64c2638dc1fd1d3ab8e7d1c79a49b18a6be387d5ef4709f8261c5d99505335896cb223f6d878abdcf2454d97259f93846702d3c7493a4a
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/md5
deleted file mode 100644
index 3fb73fb16fc2c..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/md5
+++ /dev/null
@@ -1 +0,0 @@
-3ddc7921d0bb66c278bd7b63cb20ab21
diff --git a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/sha512
deleted file mode 100644
index a0ac2bea07075..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran4.tar.gz/sha512
+++ /dev/null
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deleted file mode 100644
index cf53ac959b491..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran5.tar.gz/md5
+++ /dev/null
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deleted file mode 100644
index 1362532e39142..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-gnueabihf-libgfortran5.tar.gz/sha512
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deleted file mode 100644
index 2762c67f65844..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-musleabihf-libgfortran3.tar.gz/md5
+++ /dev/null
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deleted file mode 100644
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deleted file mode 100644
index 1d18e711e9e38..0000000000000
--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-musleabihf-libgfortran4.tar.gz/md5
+++ /dev/null
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deleted file mode 100644
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--- a/deps/checksums/OpenBLAS.v0.3.7-9.armv7l-linux-musleabihf-libgfortran4.tar.gz/sha512
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+80b9fe85627c9d14de9abbdf1280a931b3c3da7b01505ca6784394f43bbef80e8010ac2c158ffbcdcf876893526eff0695329b964a75913d3150c2bdf07d6554
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/md5
new file mode 100644
index 0000000000000..9368c6d2b3e55
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/md5
@@ -0,0 +1 @@
+1eb3acb7f307deb3e798ceb29db18159
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/sha512
new file mode 100644
index 0000000000000..917cdb2e7f2d4
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran3.tar.gz/sha512
@@ -0,0 +1 @@
+6f2059f0035bc747cdc5ebc290c8afb2de40c17b3de1a47c93e3b04adedbf404e3374c4f1d8b0daee1a498dc95f9051dd1c5e5621510d1b9b44ecb3cac70454b
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/md5
new file mode 100644
index 0000000000000..8bd347f40a9d4
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/md5
@@ -0,0 +1 @@
+e12089bcefc245df4ae1386ab77024bf
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/sha512
new file mode 100644
index 0000000000000..8f119519c24c5
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran4.tar.gz/sha512
@@ -0,0 +1 @@
+c7a1773fdd65e64213273ffa6106beb0dc661b327dfc2e7b74bca54bdff816a2d2629f69f66e8c5b6106ef86b5dc0285035c36c86c58f5c82c91833b77eeba44
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/md5
new file mode 100644
index 0000000000000..1c18d5c650a73
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/md5
@@ -0,0 +1 @@
+7324cd761f75dfc66d1b70a70030f7d5
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/sha512
new file mode 100644
index 0000000000000..4d9283f042e0a
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-linux-musl-libgfortran5.tar.gz/sha512
@@ -0,0 +1 @@
+0f00289eb016ac05391ef6f3d8d9af3b3fc57579201b2d06bb2143ce3d9fc0817f7555a2a57452afea33dd0f0e67f3812724008a5205a4207bca15f54cb516ca
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/md5
new file mode 100644
index 0000000000000..4c2fc20e3a4d2
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/md5
@@ -0,0 +1 @@
+62189e5b79b943e8280f43d20f913d50
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/sha512
new file mode 100644
index 0000000000000..ed9dae8c467d0
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran3.tar.gz/sha512
@@ -0,0 +1 @@
+f5c1634aa17a6137fa78a01afd1186d7a38ee0e92399cc55e61aea29e07068db75f21c5aa9c7f2c99a7d00c8318678c0b02280c7f81fa3d4a3edaca48cd946fa
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/md5
new file mode 100644
index 0000000000000..b611d48d0a809
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/md5
@@ -0,0 +1 @@
+4ad539dce77f1e7b813c44a6f246164f
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/sha512
new file mode 100644
index 0000000000000..1411d181f5cf6
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran4.tar.gz/sha512
@@ -0,0 +1 @@
+336d01dbf88e85a18028e3198310e9e14902478de8776bcec2f3bcfd9798994a7a380ed2e37bb250cfe28a233dc1658f4e0732349b9ba1af61a213f9ccf70ed5
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/md5
new file mode 100644
index 0000000000000..176fe031265d3
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/md5
@@ -0,0 +1 @@
+4ec5669f1583c5be1448dfa243dbc0b0
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/sha512
new file mode 100644
index 0000000000000..003213b31eb8c
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-unknown-freebsd11.1-libgfortran5.tar.gz/sha512
@@ -0,0 +1 @@
+26b88f8467a87b813b84e0585c268e958bb6c4003e5f99196304186b4cb236fd7e00ce526e138a5336ad4ddb39caa4bbf84fec9c42a24bc3743832d7d2323c17
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/md5
new file mode 100644
index 0000000000000..3b2ae9ae61b89
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/md5
@@ -0,0 +1 @@
+19b43c20edd438edfb5dd91b14433582
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/sha512
new file mode 100644
index 0000000000000..0cd13564ee648
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran3.tar.gz/sha512
@@ -0,0 +1 @@
+9d83ccd99b40847e0761ff98ca27078910fe20f4fd5819519c3b81e92b93e60f4d0ffae5fafb754538850bbccdf42b52db29cecf589753b559dd828ba55d5c8a
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/md5
new file mode 100644
index 0000000000000..fcca1424575e2
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/md5
@@ -0,0 +1 @@
+00b44e2506ec768de996f02e4e004679
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/sha512
new file mode 100644
index 0000000000000..6f05f1b01d466
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran4.tar.gz/sha512
@@ -0,0 +1 @@
+65f14d81b00d8fe67f33c273376746951ba6e54e6db750c995f8b407bd6141bdd164245ee78fabf0f03c3ef0e3ae0e68aa542f29e7b738051a926f0c07226abd
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/md5 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/md5
new file mode 100644
index 0000000000000..817b0431174a6
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/md5
@@ -0,0 +1 @@
+0a5e4f35363410da9d22e8253894e2f9
diff --git a/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/sha512 b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/sha512
new file mode 100644
index 0000000000000..9cf1d25703cb0
--- /dev/null
+++ b/deps/checksums/OpenBLAS.v0.3.9-4.x86_64-w64-mingw32-libgfortran5.tar.gz/sha512
@@ -0,0 +1 @@
+af6b355bb0c2f23a6678f3c7a58f0a4013fdb395b1972dc15838ad5202571ed130b151a43061a99e4994f1e8edfe8a989e96bc5fe76d25f7f92e2756c8fb83d1
diff --git a/deps/checksums/lapack-3.5.0.tgz/md5 b/deps/checksums/lapack-3.5.0.tgz/md5
deleted file mode 100644
index a1e6c43f2278d..0000000000000
--- a/deps/checksums/lapack-3.5.0.tgz/md5
+++ /dev/null
@@ -1 +0,0 @@
-b1d3e3e425b2e44a06760ff173104bdf
diff --git a/deps/checksums/lapack-3.5.0.tgz/sha512 b/deps/checksums/lapack-3.5.0.tgz/sha512
deleted file mode 100644
index de7df8cb34518..0000000000000
--- a/deps/checksums/lapack-3.5.0.tgz/sha512
+++ /dev/null
@@ -1 +0,0 @@
-b948a0a0db032bda455ec4f519d4e89e4c29e29cecb5b6258ca61f68faaeeac9fdf4ece5c39ffcd0154c5505facbc392c7d09c8348b1d60bdd2685153ab2543f
diff --git a/deps/checksums/lapack-3.9.0.tgz/md5 b/deps/checksums/lapack-3.9.0.tgz/md5
new file mode 100644
index 0000000000000..62a352c3d126e
--- /dev/null
+++ b/deps/checksums/lapack-3.9.0.tgz/md5
@@ -0,0 +1 @@
+0b251e2a8d5f949f99b50dd5e2200ee2
diff --git a/deps/checksums/lapack-3.9.0.tgz/sha512 b/deps/checksums/lapack-3.9.0.tgz/sha512
new file mode 100644
index 0000000000000..8133dd1a8ad47
--- /dev/null
+++ b/deps/checksums/lapack-3.9.0.tgz/sha512
@@ -0,0 +1 @@
+424956ad941a60a4b71e0d451ad48db12a692f8a71a90f3ca7f71d6ecc1922f392746ea84df1c47a46577ed2db32e9e47ec44ad248207c5ac7da179becb712ef
diff --git a/deps/openblas.version b/deps/openblas.version
index aa58acb31106f..b258bf36e2b9f 100644
--- a/deps/openblas.version
+++ b/deps/openblas.version
@@ -1,2 +1,2 @@
-OPENBLAS_BRANCH=v0.3.7
-OPENBLAS_SHA1=5f36f18148603facb6c3540e673610d6b24cbfbb
+OPENBLAS_BRANCH=v0.3.9
+OPENBLAS_SHA1=33f76a6c378681ac2af76b20e55ff682191a1937
diff --git a/deps/patches/openblas-fix-initialization-to-zero-arm64.patch b/deps/patches/openblas-fix-initialization-to-zero-arm64.patch
new file mode 100644
index 0000000000000..2ed2373007434
--- /dev/null
+++ b/deps/patches/openblas-fix-initialization-to-zero-arm64.patch
@@ -0,0 +1,67 @@
+From 2c87b7f3892710e082e0c4dfea9bc234a38dc160 Mon Sep 17 00:00:00 2001
+From: Martin Kroeker <martin@ruby.chemie.uni-freiburg.de>
+Date: Tue, 31 Mar 2020 16:53:56 +0200
+Subject: [PATCH] Fix zero initialization arm64
+
+---
+ kernel/arm64/dgemm_beta.S | 16 ++++++++--------
+ kernel/arm64/sgemm_beta.S | 16 ++++++++--------
+ 2 files changed, 16 insertions(+), 16 deletions(-)
+
+diff --git a/kernel/arm64/dgemm_beta.S b/kernel/arm64/dgemm_beta.S
+index 20011c34..7d21525c 100644
+--- a/kernel/arm64/dgemm_beta.S
++++ b/kernel/arm64/dgemm_beta.S
+@@ -81,14 +81,14 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ .endm
+ 
+ .macro INIT_ZERO
+-	fmul v0.2d, v0.2d, betaV0
+-	fmul v1.2d, v1.2d, betaV0
+-	fmul v2.2d, v2.2d, betaV0
+-	fmul v3.2d, v3.2d, betaV0
+-	fmul v4.2d, v4.2d, betaV0
+-	fmul v5.2d, v5.2d, betaV0
+-	fmul v6.2d, v6.2d, betaV0
+-	fmul v7.2d, v7.2d, betaV0
++	movi v0.2d, #0000000000000000
++	movi v1.2d, #0000000000000000
++	movi v2.2d, #0000000000000000
++	movi v3.2d, #0000000000000000
++	movi v4.2d, #0000000000000000
++	movi v5.2d, #0000000000000000
++	movi v6.2d, #0000000000000000
++	movi v7.2d, #0000000000000000
+ .endm
+ 
+ /**************************************************************************************
+diff --git a/kernel/arm64/sgemm_beta.S b/kernel/arm64/sgemm_beta.S
+index a3b97e23..574485bc 100755
+--- a/kernel/arm64/sgemm_beta.S
++++ b/kernel/arm64/sgemm_beta.S
+@@ -81,14 +81,14 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ .endm
+ 
+ .macro INIT_ZERO
+-	fmul v0.4s, v0.4s, betaV0
+-	fmul v1.4s, v1.4s, betaV0
+-	fmul v2.4s, v2.4s, betaV0
+-	fmul v3.4s, v3.4s, betaV0
+-	fmul v4.4s, v4.4s, betaV0
+-	fmul v5.4s, v5.4s, betaV0
+-	fmul v6.4s, v6.4s, betaV0
+-	fmul v7.4s, v7.4s, betaV0
++	movi v0.4s, #0x0
++	movi v1.4s, #0x0
++	movi v2.4s, #0x0
++	movi v3.4s, #0x0
++	movi v4.4s, #0x0
++	movi v5.4s, #0x0
++	movi v6.4s, #0x0
++	movi v7.4s, #0x0
+ .endm
+ 
+ /**************************************************************************************
+-- 
+2.25.1
+
diff --git a/deps/patches/openblas-ofast-power.patch b/deps/patches/openblas-ofast-power.patch
new file mode 100644
index 0000000000000..3d777eb2c8f7a
--- /dev/null
+++ b/deps/patches/openblas-ofast-power.patch
@@ -0,0 +1,33 @@
+ Makefile.power | 8 ++++----
+ 1 file changed, 4 insertions(+), 4 deletions(-)
+
+diff --git a/Makefile.power b/Makefile.power
+index 24d8aa8a..e53a243a 100644
+--- a/Makefile.power
++++ b/Makefile.power
+@@ -11,20 +11,20 @@ endif
+ 
+ ifeq ($(CORE), POWER9)
+ ifeq ($(USE_OPENMP), 1)
+-COMMON_OPT += -Ofast -mcpu=power9 -mtune=power9 -mvsx -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
++COMMON_OPT += -mcpu=power9 -mtune=power9 -mvsx -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
+ FCOMMON_OPT += -O2 -frecursive -mcpu=power9 -mtune=power9 -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
+ else
+-COMMON_OPT += -Ofast -mcpu=power9 -mtune=power9 -mvsx -malign-power -fno-fast-math
++COMMON_OPT += -mcpu=power9 -mtune=power9 -mvsx -malign-power -fno-fast-math
+ FCOMMON_OPT += -O2 -frecursive -mcpu=power9 -mtune=power9 -malign-power -fno-fast-math
+ endif
+ endif
+ 
+ ifeq ($(CORE), POWER8)
+ ifeq ($(USE_OPENMP), 1)
+-COMMON_OPT += -Ofast -mcpu=power8 -mtune=power8 -mvsx -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
++COMMON_OPT += -mcpu=power8 -mtune=power8 -mvsx -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
+ FCOMMON_OPT += -O2 -frecursive -mcpu=power8 -mtune=power8 -malign-power -DUSE_OPENMP -fno-fast-math -fopenmp
+ else
+-COMMON_OPT += -Ofast -mcpu=power8 -mtune=power8 -mvsx -malign-power -fno-fast-math
++COMMON_OPT += -mcpu=power8 -mtune=power8 -mvsx -malign-power -fno-fast-math
+ FCOMMON_OPT += -O2 -frecursive -mcpu=power8 -mtune=power8 -malign-power -fno-fast-math
+ endif
+ endif
+
diff --git a/deps/patches/openblas-winexit.patch b/deps/patches/openblas-winexit.patch
index b3268c2f8806b..8db2fbf0cb09b 100644
--- a/deps/patches/openblas-winexit.patch
+++ b/deps/patches/openblas-winexit.patch
@@ -1,27 +1,178 @@
-commit b16fa2e7111dc4dc1d9d987bd5dcbf89c82b9ee8
-Author: Keno Fischer <keno@juliacomputing.com>
-Date:   Sun Dec 29 15:08:13 2019 -0500
+From f919c3301fabbaa5d965dcc7b1c3d6892a8c730a Mon Sep 17 00:00:00 2001
+From: Keno Fischer <keno@juliacomputing.com>
+Date: Sat, 14 Mar 2020 12:05:19 +0100
 
-    win32: Don't run cleanup if we're about to exit anyway
-    
-    If the process is about to exit, there's no point trying to do
-    a bunch of work to clean up resources. The kernel will release
-    them much more efficiently when the process exits at the end
-    of this function.
+---
+ driver/others/memory.c | 131 +----------------------------------------
+ 1 file changed, 2 insertions(+), 129 deletions(-)
+
+diff --git a/driver/others/memory.c b/driver/others/memory.c
+index 62a5a021..23f8fe65 100644
+--- a/driver/others/memory.c
++++ b/driver/others/memory.c
+@@ -1510,7 +1510,7 @@ void CONSTRUCTOR gotoblas_init(void) {
+ 
+ }
+ 
+-void DESTRUCTOR gotoblas_quit(void) {
++void gotoblas_quit(void) {
+ 
+   if (gotoblas_initialized == 0) return;
+ 
+@@ -1547,74 +1547,12 @@ void DESTRUCTOR gotoblas_quit(void) {
+ #endif
+ }
+ 
+-#if defined(_MSC_VER) && !defined(__clang__)
+-BOOL APIENTRY DllMain(HMODULE hModule, DWORD  ul_reason_for_call, LPVOID lpReserved)
+-{
+-  switch (ul_reason_for_call)
+-  {
+-    case DLL_PROCESS_ATTACH:
+-      gotoblas_init();
+-      break;
+-    case DLL_THREAD_ATTACH:
+-      break;
+-    case DLL_THREAD_DETACH:
+-#if defined(SMP)
+-      blas_thread_memory_cleanup();
+-#endif
+-      break;
+-    case DLL_PROCESS_DETACH:
+-      gotoblas_quit();
+-      break;
+-    default:
+-      break;
+-  }
+-  return TRUE;
+-}
+-
+-/*
+-  This is to allow static linking.
+-  Code adapted from Google performance tools:
+-  https://gperftools.googlecode.com/git-history/perftools-1.0/src/windows/port.cc
+-  Reference:
+-  https://sourceware.org/ml/pthreads-win32/2008/msg00028.html
+-  http://ci.boost.org/svn-trac/browser/trunk/libs/thread/src/win32/tss_pe.cpp
+-*/
+-static int on_process_term(void)
+-{
+-	gotoblas_quit();
+-	return 0;
+-}
+ #ifdef _WIN64
+ #pragma comment(linker, "/INCLUDE:_tls_used")
+ #else
+ #pragma comment(linker, "/INCLUDE:__tls_used")
+ #endif
+ 
+-#ifdef _WIN64
+-#pragma const_seg(".CRT$XLB")
+-#else
+-#pragma data_seg(".CRT$XLB")
+-#endif
+-static void (APIENTRY *dll_callback)(HINSTANCE h, DWORD ul_reason_for_call, PVOID pv) = DllMain;
+-#ifdef _WIN64
+-#pragma const_seg()
+-#else
+-#pragma data_seg()
+-#endif
+-
+-#ifdef _WIN64
+-#pragma const_seg(".CRT$XTU")
+-#else
+-#pragma data_seg(".CRT$XTU")
+-#endif
+-static int(*p_process_term)(void) = on_process_term;
+-#ifdef _WIN64
+-#pragma const_seg()
+-#else
+-#pragma data_seg()
+-#endif
+-#endif
+-
+ #if (defined(C_PGI) || (!defined(C_SUN) && defined(F_INTERFACE_SUN))) && (defined(ARCH_X86) || defined(ARCH_X86_64))
+ /* Don't call me; this is just work around for PGI / Sun bug */
+ void gotoblas_dummy_for_PGI(void) {
+@@ -3104,7 +3042,7 @@ void CONSTRUCTOR gotoblas_init(void) {
+ 
+ }
+ 
+-void DESTRUCTOR gotoblas_quit(void) {
++void gotoblas_quit(void) {
+ 
+   if (gotoblas_initialized == 0) return;
+ 
+@@ -3133,71 +3071,6 @@ void DESTRUCTOR gotoblas_quit(void) {
+ #endif
+ }
+ 
+-#if defined(_MSC_VER) && !defined(__clang__)
+-BOOL APIENTRY DllMain(HMODULE hModule, DWORD  ul_reason_for_call, LPVOID lpReserved)
+-{
+-  switch (ul_reason_for_call)
+-  {
+-    case DLL_PROCESS_ATTACH:
+-      gotoblas_init();
+-      break;
+-    case DLL_THREAD_ATTACH:
+-      break;
+-    case DLL_THREAD_DETACH:
+-      break;
+-    case DLL_PROCESS_DETACH:
+-      gotoblas_quit();
+-      break;
+-    default:
+-      break;
+-  }
+-  return TRUE;
+-}
+-
+-/*
+-  This is to allow static linking.
+-  Code adapted from Google performance tools:
+-  https://gperftools.googlecode.com/git-history/perftools-1.0/src/windows/port.cc
+-  Reference:
+-  https://sourceware.org/ml/pthreads-win32/2008/msg00028.html
+-  http://ci.boost.org/svn-trac/browser/trunk/libs/thread/src/win32/tss_pe.cpp
+-*/
+-static int on_process_term(void)
+-{
+-	gotoblas_quit();
+-	return 0;
+-}
+-#ifdef _WIN64
+-#pragma comment(linker, "/INCLUDE:_tls_used")
+-#else
+-#pragma comment(linker, "/INCLUDE:__tls_used")
+-#endif
+-
+-#ifdef _WIN64
+-#pragma const_seg(".CRT$XLB")
+-#else
+-#pragma data_seg(".CRT$XLB")
+-#endif
+-static void (APIENTRY *dll_callback)(HINSTANCE h, DWORD ul_reason_for_call, PVOID pv) = DllMain;
+-#ifdef _WIN64
+-#pragma const_seg()
+-#else
+-#pragma data_seg()
+-#endif
+-
+-#ifdef _WIN64
+-#pragma const_seg(".CRT$XTU")
+-#else
+-#pragma data_seg(".CRT$XTU")
+-#endif
+-static int(*p_process_term)(void) = on_process_term;
+-#ifdef _WIN64
+-#pragma const_seg()
+-#else
+-#pragma data_seg()
+-#endif
+-#endif
+-
+ #if (defined(C_PGI) || (!defined(C_SUN) && defined(F_INTERFACE_SUN))) && (defined(ARCH_X86) || defined(ARCH_X86_64))
+ /* Don't call me; this is just work around for PGI / Sun bug */
+ void gotoblas_dummy_for_PGI(void) {
 
-diff --git a/exports/dllinit.c b/exports/dllinit.c
-index 4a05c0e1..88f9af65 100644
---- a/exports/dllinit.c
-+++ b/exports/dllinit.c
-@@ -50,7 +50,10 @@ BOOL APIENTRY DllMain(HINSTANCE hInst, DWORD reason, LPVOID reserved) {
-         gotoblas_init();
-         break;
-       case DLL_PROCESS_DETACH:
--        gotoblas_quit();
-+        // If the process is about to exit, don't bother releasing any resources
-+        // The kernel is much better at bulk releasing then.
-+        if (!reserved)
-+          gotoblas_quit();
-         break;
-       case DLL_THREAD_ATTACH:
-         break;