diff --git a/gstlal-calibration/gst/lal/Makefile.am b/gstlal-calibration/gst/lal/Makefile.am
index 5ad09424f5e833fd6ccb7ebe8b7d1edb3e605d1d..5db3b658710d61cb788503e57de5097863e625f2 100644
--- a/gstlal-calibration/gst/lal/Makefile.am
+++ b/gstlal-calibration/gst/lal/Makefile.am
@@ -19,7 +19,8 @@ lib@GSTPLUGINPREFIX@gstlalcalibration_la_SOURCES = \
 	gstlal_adaptivefirfilt.c gstlal_adaptivefirfilt.h \
 	gstlal_dqtukey.c gstlal_dqtukey.h \
 	gstlal_property.c gstlal_property.h \
-	gstlal_typecast.c gstlal_typecast.h
+	gstlal_typecast.c gstlal_typecast.h \
+	gstlal_matrixsolver.c gstlal_matrixsolver.h
 lib@GSTPLUGINPREFIX@gstlalcalibration_la_CPPFLAGS = $(AM_CPPFLAGS) $(PYTHON_CPPFLAGS)
 lib@GSTPLUGINPREFIX@gstlalcalibration_la_CFLAGS = $(AM_CFLAGS) $(LAL_CFLAGS) $(GSTLAL_CFLAGS) $(gstreamer_CFLAGS) $(gstreamer_audio_CFLAGS)
 lib@GSTPLUGINPREFIX@gstlalcalibration_la_LDFLAGS = $(AM_LDFLAGS) $(LAL_LIBS) $(GSTLAL_LIBS) $(PYTHON_LIBS) $(gstreamer_LIBS) $(gstreamer_audio_LIBS) $(GSTLAL_PLUGIN_LDFLAGS)
diff --git a/gstlal-calibration/gst/lal/gstlal_matrixsolver.c b/gstlal-calibration/gst/lal/gstlal_matrixsolver.c
new file mode 100644
index 0000000000000000000000000000000000000000..110e2adf425730642c7eb0321aa7e37b9fa870c3
--- /dev/null
+++ b/gstlal-calibration/gst/lal/gstlal_matrixsolver.c
@@ -0,0 +1,595 @@
+/*
+ * Copyright (C) 2019  Aaron Viets <aaron.viets@ligo.org>
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+ */
+
+
+/*
+ * ============================================================================
+ *
+ *				  Preamble
+ *
+ * ============================================================================
+ */
+
+
+/*
+ * stuff from C
+ */
+
+
+#include <string.h>
+#include <math.h>
+#include <complex.h>
+
+
+/*
+ *  stuff from gobject/gstreamer
+ */
+
+
+#include <glib.h>
+#include <gst/gst.h>
+#include <gst/audio/audio.h>
+#include <gst/base/gstbasetransform.h>
+
+
+/*
+ * stuff from GSL
+ */
+
+
+#include <gsl/gsl_complex.h>
+#include <gsl/gsl_complex_math.h>
+#include <gsl/gsl_vector.h>
+#include <gsl/gsl_matrix.h>
+#include <gsl/gsl_linalg.h>
+#include <gsl/gsl_permutation.h>
+
+
+/*
+ * our own stuff
+ */
+
+
+#include <gstlal/gstlal_audio_info.h>
+#include <gstlal_matrixsolver.h>
+
+
+/*
+ * ============================================================================
+ *
+ *			   GStreamer Boiler Plate
+ *
+ * ============================================================================
+ */
+
+
+#define GST_CAT_DEFAULT gstlal_matrixsolver_debug
+GST_DEBUG_CATEGORY_STATIC(GST_CAT_DEFAULT);
+
+
+G_DEFINE_TYPE_WITH_CODE(
+	GSTLALMatrixSolver,
+	gstlal_matrixsolver,
+	GST_TYPE_BASE_TRANSFORM,
+	GST_DEBUG_CATEGORY_INIT(GST_CAT_DEFAULT, "lal_matrixsolver", 0, "lal_matrixsolver element")
+);
+
+
+static GstStaticPadTemplate sink_factory = GST_STATIC_PAD_TEMPLATE(
+	GST_BASE_TRANSFORM_SINK_NAME,
+	GST_PAD_SINK,
+	GST_PAD_ALWAYS,
+	GST_STATIC_CAPS(
+		GST_AUDIO_CAPS_MAKE("{" GST_AUDIO_NE(F32) ", " GST_AUDIO_NE(F64) ", " GST_AUDIO_NE(Z64) ", " GST_AUDIO_NE(Z128) "}") ", " \
+		"layout = (string) interleaved, " \
+		"channel-mask = (bitmask) 0"
+	)
+);
+
+
+static GstStaticPadTemplate src_factory = GST_STATIC_PAD_TEMPLATE(
+	GST_BASE_TRANSFORM_SRC_NAME,
+	GST_PAD_SRC,
+	GST_PAD_ALWAYS,
+	GST_STATIC_CAPS(
+		GST_AUDIO_CAPS_MAKE("{" GST_AUDIO_NE(F32) ", " GST_AUDIO_NE(F64) ", " GST_AUDIO_NE(Z64) ", " GST_AUDIO_NE(Z128) "}") ", " \
+		"layout = (string) interleaved, " \
+		"channel-mask = (bitmask) 0"
+	)
+);
+
+
+/*
+ * ============================================================================
+ *
+ *				Utilities
+ *
+ * ============================================================================
+ */
+
+
+/*
+ * set the metadata on an output buffer
+ */
+
+
+static void set_metadata(GSTLALMatrixSolver *element, GstBuffer *buf, guint64 outsamples, gboolean gap) {
+
+	GST_BUFFER_OFFSET(buf) = element->next_out_offset;
+	element->next_out_offset += outsamples;
+	GST_BUFFER_OFFSET_END(buf) = element->next_out_offset;
+	GST_BUFFER_TIMESTAMP(buf) = element->t0 + gst_util_uint64_scale_int_round(GST_BUFFER_OFFSET(buf) - element->offset0, GST_SECOND, element->rate);
+	GST_BUFFER_DURATION(buf) = element->t0 + gst_util_uint64_scale_int_round(GST_BUFFER_OFFSET_END(buf) - element->offset0, GST_SECOND, element->rate) - GST_BUFFER_TIMESTAMP(buf);
+	GST_BUFFER_FLAG_UNSET(buf, GST_BUFFER_FLAG_GAP);
+	if(G_UNLIKELY(element->need_discont)) {
+		GST_BUFFER_FLAG_SET(buf, GST_BUFFER_FLAG_DISCONT);
+		element->need_discont = FALSE;
+	}
+	if(gap)
+		GST_BUFFER_FLAG_SET(buf, GST_BUFFER_FLAG_GAP);
+	else
+		GST_BUFFER_FLAG_UNSET(buf, GST_BUFFER_FLAG_GAP);
+}
+
+
+/*
+ * Four functions to be used in the macro below
+ */
+
+
+static double make_gsl_input(double x) {
+	return x;
+}
+
+
+static gsl_complex make_gsl_inputcomplex(complex double z) {
+	return gsl_complex_rect(creal(z), cimag(z));
+}
+
+
+static double get_double_from_gsl_vector(gsl_vector *vec, int i) {
+	return gsl_vector_get(vec, i);
+}
+
+
+static complex double get_complexdouble_from_gsl_vector(gsl_vector_complex *vec, int i) {
+	gsl_complex gslz = gsl_vector_complex_get(vec, i);
+	return GSL_REAL(gslz) + I * GSL_IMAG(gslz);
+}
+
+
+/*
+ * Macro for solving systems of linear equations for floats, doubles, and complex float and doubles
+ */
+
+
+#define DEFINE_SOLVE_SYSTEM(COMPLEX, DTYPE, UNDERSCORE) \
+static void solve_system_ ## COMPLEX ## DTYPE(const COMPLEX DTYPE *src, COMPLEX DTYPE *dst, guint64 dst_size, int channels_in, int channels_out) { \
+ \
+	guint64 i; \
+	int j, signum; \
+	gsl_vector ## UNDERSCORE ## COMPLEX *invec = gsl_vector ## UNDERSCORE ## COMPLEX ## _alloc(channels_out); \
+	gsl_vector ## UNDERSCORE ## COMPLEX *outvec = gsl_vector ## UNDERSCORE ## COMPLEX ## _alloc(channels_out); \
+	gsl_matrix ## UNDERSCORE ## COMPLEX *matrix = gsl_matrix ## UNDERSCORE ## COMPLEX ## _alloc(channels_out, channels_out); \
+	gsl_permutation *permutation = gsl_permutation_alloc(channels_out); \
+ \
+	for(i = 0; i < dst_size; i++) { \
+		/* Set the elements of the GSL vector invec using the first N channels of input data */ \
+		for(j = 0; j < channels_out; j++) \
+			gsl_vector_ ## COMPLEX ## UNDERSCORE ## set(invec, j, make_gsl_input ## COMPLEX((COMPLEX double) src[channels_in * i + j])); \
+ \
+		/* Set the elements of the GSL matrix using the remaining channels of input data */ \
+		for(j = channels_out; j < channels_in; j++) \
+			gsl_matrix_ ## COMPLEX ## UNDERSCORE ## set(matrix, j / channels_out, j % channels_out, make_gsl_input ## COMPLEX((COMPLEX double) src[channels_in * i + j])); \
+ \
+		/* Now solve [matrix] [outvec] = [invec] for [outvec] using gsl */ \
+		gsl_linalg_ ## COMPLEX ## UNDERSCORE ## LU_decomp(matrix, permutation, &signum); \
+		gsl_linalg_ ## COMPLEX ## UNDERSCORE ## LU_solve(matrix, permutation, invec, outvec); \
+ \
+		/* Put the solutions into the output buffer */ \
+		for(j = 0; j < channels_out; j++) \
+			dst[i * channels_out + j] = get_ ## COMPLEX ## double_from_gsl_vector(outvec, j); \
+	} \
+}
+
+
+DEFINE_SOLVE_SYSTEM(, float, );
+DEFINE_SOLVE_SYSTEM(, double, );
+DEFINE_SOLVE_SYSTEM(complex, float, _);
+DEFINE_SOLVE_SYSTEM(complex, double, _);
+
+
+/*
+ * ============================================================================
+ *
+ *		     GstBaseTransform Method Overrides
+ *
+ * ============================================================================
+ */
+
+
+/*
+ * get_unit_size()
+ */
+
+
+static gboolean get_unit_size(GstBaseTransform *trans, GstCaps *caps, gsize *size)
+{
+	GstAudioInfo info;
+	gboolean success = TRUE;
+
+	success &= gstlal_audio_info_from_caps(&info, caps);
+
+	if(success) {
+		*size = GST_AUDIO_INFO_BPF(&info);
+	} else
+		GST_WARNING_OBJECT(trans, "unable to parse caps %" GST_PTR_FORMAT, caps);
+
+	return success;
+}
+
+
+/*
+ * transform_caps()
+ */
+
+
+static GstCaps *transform_caps(GstBaseTransform *trans, GstPadDirection direction, GstCaps *caps, GstCaps *filter) {
+
+	guint n;
+	int channels;
+	caps = gst_caps_normalize(gst_caps_copy(caps));
+
+	switch(direction) {
+	case GST_PAD_SRC:
+		/* 
+		 * We know the caps on the source pad, and we want to put constraints on
+		 * the sink pad caps.  The sink pad caps are the same as the source pad
+		 * caps except that there are N(N+1) input channels for N output channels.
+		 */
+		for(n = 0; n < gst_caps_get_size(caps); n++) {
+			GstStructure *str = gst_caps_get_structure(caps, n);
+			if(!gst_structure_get_int(str, "channels", &channels))
+				GST_DEBUG_OBJECT(trans, "unable to get number of channels from caps %" GST_PTR_FORMAT, caps);
+			channels = channels * (channels + 1);
+			gst_structure_set(str, "channels", G_TYPE_INT, channels, NULL);
+		}
+		break;
+
+	case GST_PAD_SINK:
+		/*
+		 * We know the caps on the sink pad, and we want to put constraints on
+		 * the source pad caps.  The source pad caps are the same as the sink pad
+		 * caps except that there are N output channels for N(N+1) input channels.
+		 */
+		for(n = 0; n < gst_caps_get_size(caps); n++) {
+			GstStructure *str = gst_caps_get_structure(caps, n);
+			if(!gst_structure_get_int(str, "channels", &channels))
+				GST_DEBUG_OBJECT(trans, "unable to get number of channels from caps %" GST_PTR_FORMAT, caps);
+			channels = (int) pow((double) channels, 0.5);
+			gst_structure_set(str, "channels", G_TYPE_INT, channels, NULL);
+		}
+		break;
+
+	case GST_PAD_UNKNOWN:
+		GST_ELEMENT_ERROR(trans, CORE, NEGOTIATION, (NULL), ("invalid direction GST_PAD_UNKNOWN"));
+		gst_caps_unref(caps);
+		return GST_CAPS_NONE;
+	default:
+		g_assert_not_reached();
+	}
+
+	if(filter) {
+		GstCaps *intersection = gst_caps_intersect(caps, filter);
+		gst_caps_unref(caps);
+		caps = intersection;
+	}
+	return gst_caps_simplify(caps);
+}
+
+
+/*
+ * set_caps()
+ */
+
+
+static gboolean set_caps(GstBaseTransform *trans, GstCaps *incaps, GstCaps *outcaps)
+{
+	GSTLALMatrixSolver *element = GSTLAL_MATRIXSOLVER(trans);
+	gint rate, channels;
+	gsize unit_size;
+
+	/*
+ 	 * parse the caps
+ 	 */
+
+	GstStructure *str = gst_caps_get_structure(outcaps, 0);
+	const gchar *name = gst_structure_get_string(str, "format");
+	if(!name) {
+		GST_DEBUG_OBJECT(element, "unable to parse format from %" GST_PTR_FORMAT, outcaps);
+		return FALSE;
+	}
+	if(!get_unit_size(trans, outcaps, &unit_size)) {
+		GST_DEBUG_OBJECT(element, "function 'get_unit_size' failed");
+		return FALSE;
+	}
+	if(!gst_structure_get_int(str, "channels", &channels)) {
+		GST_DEBUG_OBJECT(element, "unable to parse channels from %" GST_PTR_FORMAT, outcaps);
+		return FALSE;
+	}
+	if(!gst_structure_get_int(str, "rate", &rate)) {
+		GST_DEBUG_OBJECT(element, "unable to parse rate from %" GST_PTR_FORMAT, outcaps);
+		return FALSE;
+	}
+
+	/*
+ 	 * record stream parameters
+ 	 */
+
+	if(!strcmp(name, GST_AUDIO_NE(F32))) {
+		element->data_type = GSTLAL_MATRIXSOLVER_F32;
+		g_assert_cmpuint(unit_size, ==, 4 * (guint) channels);
+	} else if(!strcmp(name, GST_AUDIO_NE(F64))) {
+		element->data_type = GSTLAL_MATRIXSOLVER_F64;
+		g_assert_cmpuint(unit_size, ==, 8 * (guint) channels);
+	} else if(!strcmp(name, GST_AUDIO_NE(Z64))) {
+		element->data_type = GSTLAL_MATRIXSOLVER_Z64;
+		g_assert_cmpuint(unit_size, ==, 8 * (guint) channels);
+	} else if(!strcmp(name, GST_AUDIO_NE(Z128))) {
+		element->data_type = GSTLAL_MATRIXSOLVER_Z128;
+		g_assert_cmpuint(unit_size, ==, 16 * (guint) channels);
+	} else
+		g_assert_not_reached();
+
+	element->rate = rate;
+	element->channels_out = channels;
+	element->channels_in = channels * (channels + 1);
+	element->unit_size_out = unit_size;
+
+	return TRUE;
+}
+
+
+/*
+ * transform_size{}
+ */
+
+
+static gboolean transform_size(GstBaseTransform *trans, GstPadDirection direction, GstCaps *caps, gsize size, GstCaps *othercaps, gsize *othersize)
+{
+	GSTLALMatrixSolver *element = GSTLAL_MATRIXSOLVER(trans);
+
+	gsize unit_size;
+
+	if(!get_unit_size(trans, caps, &unit_size)) {
+		GST_DEBUG_OBJECT(element, "function 'get_unit_size' failed");
+		return FALSE;
+	}
+
+	/*
+	 * convert byte count to samples
+	 */
+
+	if(G_UNLIKELY(size % unit_size)) {
+		GST_DEBUG_OBJECT(element, "buffer size %" G_GSIZE_FORMAT " is not a multiple of %" G_GSIZE_FORMAT, size, unit_size);
+		return FALSE;
+	}
+	size /= unit_size;
+
+	/*
+	 * The data types of inputs and outputs are the same, but the number of channels differs.
+	 * For N output channels, there are N(N+1) input channels.
+	 */
+
+	switch(direction) {
+	case GST_PAD_SRC:
+		/*
+		 * We know the size of the output buffer and want to compute the size of the input buffer.
+		 * The size of the output buffer should be a multiple of the unit_size.
+		 */
+
+		if(G_UNLIKELY(size % unit_size)) {
+			GST_DEBUG_OBJECT(element, "buffer size %" G_GSIZE_FORMAT " is not a multiple of %" G_GSIZE_FORMAT, size, unit_size);
+			return FALSE;
+		}
+
+		*othersize = size * (element->channels_out + 1);
+
+		break;
+
+	case GST_PAD_SINK:
+		/*
+		 * We know the size of the input buffer and want to compute the size of the output buffer.
+		 * The size of the output buffer should be a multiple of unit_size * (N+1).
+		 */
+
+		if(G_UNLIKELY(size % (unit_size * element->channels_out + 1))) {
+			GST_DEBUG_OBJECT(element, "buffer size %" G_GSIZE_FORMAT " is not a multiple of %" G_GSIZE_FORMAT, size, unit_size * (element->channels_out + 1));
+			return FALSE;
+		}
+
+		*othersize = size / (element->channels_out + 1);
+
+		break;
+
+	case GST_PAD_UNKNOWN:
+		GST_ELEMENT_ERROR(trans, CORE, NEGOTIATION, (NULL), ("invalid direction GST_PAD_UNKNOWN"));
+		return FALSE;
+	}
+
+	return TRUE;
+}
+
+
+/*
+ * start()
+ */
+
+
+static gboolean start(GstBaseTransform *trans) {
+
+	GSTLALMatrixSolver *element = GSTLAL_MATRIXSOLVER(trans);
+
+	element->t0 = GST_CLOCK_TIME_NONE;
+	element->offset0 = GST_BUFFER_OFFSET_NONE;
+	element->next_in_offset = GST_BUFFER_OFFSET_NONE;
+	element->next_out_offset = GST_BUFFER_OFFSET_NONE;
+	element->need_discont = TRUE;
+
+	return TRUE;
+}
+
+
+/*
+ * transform()
+ */
+
+
+static GstFlowReturn transform(GstBaseTransform *trans, GstBuffer *inbuf, GstBuffer *outbuf) {
+
+	GSTLALMatrixSolver *element = GSTLAL_MATRIXSOLVER(trans);
+	GstMapInfo inmap, outmap;
+	GstFlowReturn result = GST_FLOW_OK;
+
+	/*
+	 * check for discontinuity
+	 */
+
+	if(G_UNLIKELY(GST_BUFFER_IS_DISCONT(inbuf) || GST_BUFFER_OFFSET(inbuf) != element->next_in_offset || !GST_CLOCK_TIME_IS_VALID(element->t0))) {
+		GST_DEBUG_OBJECT(element, "pushing discontinuous buffer at input timestamp %lu", (long unsigned) GST_TIME_AS_SECONDS(GST_BUFFER_PTS(inbuf)));
+		element->t0 = GST_BUFFER_PTS(inbuf);
+		element->offset0 = element->next_out_offset = GST_BUFFER_OFFSET(inbuf);
+		element->need_discont = TRUE;
+	}
+	element->next_in_offset = GST_BUFFER_OFFSET_END(inbuf);
+
+	/*
+	 * process buffer
+	 */
+
+	if(!GST_BUFFER_FLAG_IS_SET(inbuf, GST_BUFFER_FLAG_GAP)) {
+
+		/*
+		 * input is not gap.
+		 */
+
+		gst_buffer_map(inbuf, &inmap, GST_MAP_READ);
+		gst_buffer_map(outbuf, &outmap, GST_MAP_WRITE);
+		switch(element->data_type) {
+		case GSTLAL_MATRIXSOLVER_F32:
+			solve_system_float((const void *) inmap.data, (void *) outmap.data, outmap.size / element->unit_size_out, element->channels_in, element->channels_out);
+			break;
+		case GSTLAL_MATRIXSOLVER_F64:
+			solve_system_double((const void *) inmap.data, (void *) outmap.data, outmap.size / element->unit_size_out, element->channels_in, element->channels_out);
+			break;
+		case GSTLAL_MATRIXSOLVER_Z64:
+			solve_system_complexfloat((const void *) inmap.data, (void *) outmap.data, outmap.size / element->unit_size_out, element->channels_in, element->channels_out);
+			break;
+		case GSTLAL_MATRIXSOLVER_Z128:
+			solve_system_complexdouble((const void *) inmap.data, (void *) outmap.data, outmap.size / element->unit_size_out, element->channels_in, element->channels_out);
+			break;
+		default:
+			g_assert_not_reached();
+		}
+		set_metadata(element, outbuf, outmap.size / element->unit_size_out, FALSE);
+		gst_buffer_unmap(outbuf, &outmap);
+		gst_buffer_unmap(inbuf, &inmap);
+
+	} else {
+
+		/*
+		 * input is gap.
+		 */
+
+		gst_buffer_map(outbuf, &outmap, GST_MAP_WRITE);
+		memset(outmap.data, 0, outmap.size);
+		set_metadata(element, outbuf, outmap.size / element->unit_size_out, TRUE);
+		gst_buffer_unmap(outbuf, &outmap);
+	}
+
+	/*
+	 * done
+	 */
+
+	return result;
+}
+
+
+/*
+ * ============================================================================
+ *
+ *			  GObject Method Overrides
+ *
+ * ============================================================================
+ */
+
+
+/*
+ * class_init()
+ */
+
+
+static void gstlal_matrixsolver_class_init(GSTLALMatrixSolverClass *klass)
+{
+	GstBaseTransformClass *transform_class = GST_BASE_TRANSFORM_CLASS(klass);
+	GstElementClass *element_class = GST_ELEMENT_CLASS(klass);
+
+	gst_element_class_set_details_simple(
+		element_class,
+		"Matrix Solver",
+		"Filter/Audio",
+		"Solves a system of N linear equations with N unknowns by solving the\n\t\t\t   "
+		"matrix equation\n\t\t\t   "
+		"--\t\t\t\t      --  --      --     --      --\n\t\t\t   "
+		"|  x[N]    x[N+1]   ...  x[2N-1]    |  | y[0]   |     | x[0]   |\n\t\t\t   "
+		"|  x[2N]   x[2N+1]  ...  x[3N-1]    |  | y[1]   |     | x[1]   |\n\t\t\t   "
+		"|   .\t    .\t .\t       |  |  .     |  =  |  .     |\n\t\t\t   "
+		"|   .\t       .      .\t       |  |  .     |     |  .     |\n\t\t\t   "
+		"|   .\t\t  .   .\t       |  |  .     |     |  .     |\n\t\t\t   "
+		"|  x[N^2]  x[N^2+1] ...  x[N^2+N-1] |  | y[N-1] |     | x[N-1] |\n\t\t\t   "
+		"--\t\t\t\t      --  --      --     --      --\n\t\t\t   "
+		"for the y[j].  x[i] are the N(N+1) input channels and y[j] are the N\n\t\t\t   "
+		"output channels.",
+		"Aaron Viets <aaron.viets@ligo.org>"
+	);
+
+	gst_element_class_add_pad_template(element_class, gst_static_pad_template_get(&src_factory));
+	gst_element_class_add_pad_template(element_class, gst_static_pad_template_get(&sink_factory));
+
+	transform_class->get_unit_size = GST_DEBUG_FUNCPTR(get_unit_size);
+	transform_class->set_caps = GST_DEBUG_FUNCPTR(set_caps);
+	transform_class->transform_caps = GST_DEBUG_FUNCPTR(transform_caps);
+	transform_class->transform_size = GST_DEBUG_FUNCPTR(transform_size);
+	transform_class->start = GST_DEBUG_FUNCPTR(start);
+	transform_class->transform = GST_DEBUG_FUNCPTR(transform);
+}
+
+
+/*
+ * init()
+ */
+
+
+static void gstlal_matrixsolver_init(GSTLALMatrixSolver *element)
+{
+	gst_base_transform_set_gap_aware(GST_BASE_TRANSFORM(element), TRUE);
+	element->rate = 0;
+	element->channels_in = 0;
+	element->channels_out = 0;
+	element->unit_size_out = 0;
+}
diff --git a/gstlal-calibration/gst/lal/gstlal_matrixsolver.h b/gstlal-calibration/gst/lal/gstlal_matrixsolver.h
new file mode 100644
index 0000000000000000000000000000000000000000..7e50dc461f26aae8abf716c1aad21260952b9be3
--- /dev/null
+++ b/gstlal-calibration/gst/lal/gstlal_matrixsolver.h
@@ -0,0 +1,93 @@
+/*
+ * Copyright (C) 2019  Aaron Viets <aaron.viets@ligo.org>
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+ */
+
+
+#ifndef __GSTLAL_MATRIXSOLVER_H__
+#define __GSTLAL_MATRIXSOLVER_H__
+
+#include <glib.h>
+#include <gst/gst.h>
+#include <gst/base/gstbasetransform.h>
+
+#include <gsl/gsl_matrix.h>
+#include <gsl/gsl_permutation.h>
+
+G_BEGIN_DECLS
+#define GSTLAL_MATRIXSOLVER_TYPE \
+	(gstlal_matrixsolver_get_type())
+#define GSTLAL_MATRIXSOLVER(obj) \
+	(G_TYPE_CHECK_INSTANCE_CAST((obj), GSTLAL_MATRIXSOLVER_TYPE, GSTLALMatrixSolver))
+#define GSTLAL_MATRIXSOLVER_CLASS(klass) \
+	(G_TYPE_CHECK_CLASS_CAST((klass), GSTLAL_MATRIXSOLVER_TYPE, GSTLALMatrixSolverClass))
+#define GST_IS_GSTLAL_MATRIXSOLVER(obj) \
+	(G_TYPE_CHECK_INSTANCE_TYPE((obj), GSTLAL_MATRIXSOLVER_TYPE))
+#define GST_IS_GSTLAL_MATRIXSOLVER_CLASS(klass) \
+	(G_TYPE_CHECK_CLASS_TYPE((klass), GSTLAL_MATRIXSOLVER_TYPE))
+
+
+typedef struct _GSTLALMatrixSolver GSTLALMatrixSolver;
+typedef struct _GSTLALMatrixSolverClass GSTLALMatrixSolverClass;
+
+
+/**
+ * GSTLALMatrixSolver:
+ */
+
+
+struct _GSTLALMatrixSolver {
+	GstBaseTransform element;
+
+	/* stream info */
+	gint rate;
+	gint channels_in;
+	gint channels_out;
+	gint unit_size_out;
+	enum gstlal_matrixsolver_data_type {
+		GSTLAL_MATRIXSOLVER_F32 = 0,
+		GSTLAL_MATRIXSOLVER_F64,
+		GSTLAL_MATRIXSOLVER_Z64,
+		GSTLAL_MATRIXSOLVER_Z128,
+	} data_type;
+
+	/* timestamp book-keeping */
+	GstClockTime t0;
+	guint64 offset0;
+	guint64 next_in_offset;
+	guint64 next_out_offset;
+	gboolean need_discont;
+};
+
+
+/**
+ * GSTLALMatrixSolverClass:
+ * @parent_class:  the parent class
+ */
+
+
+struct _GSTLALMatrixSolverClass {
+	GstBaseTransformClass parent_class;
+};
+
+
+GType gstlal_matrixsolver_get_type(void);
+
+
+G_END_DECLS
+
+
+#endif	/* __GSTLAL_MATRIXSOLVER_H__ */
diff --git a/gstlal-calibration/gst/lal/gstlalcalibration.c b/gstlal-calibration/gst/lal/gstlalcalibration.c
index e20d82af8cf5f867bbabccd1139dd91a7f223fa1..70881ac0a760792de61e0be39ba789b3c8458f9f 100644
--- a/gstlal-calibration/gst/lal/gstlalcalibration.c
+++ b/gstlal-calibration/gst/lal/gstlalcalibration.c
@@ -71,6 +71,7 @@
 #include <gstlal_dqtukey.h>
 #include <gstlal_property.h>
 #include <gstlal_typecast.h>
+#include <gstlal_matrixsolver.h>
 
 
 /*
@@ -106,6 +107,7 @@ static gboolean plugin_init(GstPlugin *plugin)
 		{"lal_dqtukey", GSTLAL_DQTUKEY_TYPE},
 		{"lal_property", GSTLAL_PROPERTY_TYPE},
 		{"lal_typecast", GSTLAL_TYPECAST_TYPE},
+		{"lal_matrixsolver", GSTLAL_MATRIXSOLVER_TYPE},
 		{NULL, 0},
 	};