Question: Are both Alpinia and Xerophyllum genuses of plants?

Context paragraphs:
Alpinia galanga: Alpinia galanga, (also "Languas galanga"), a plant in the ginger family, is an herb used in cooking, especially in Indonesian and Thai cuisines.  It is one of four plants known as galangal and is differentiated from the others with the common name greater galangal (or simply Thai galangal).  The galangals are also called blue ginger or Thai ginger.

Cardamomin: Cardamomin (also known as cardamonin) is a chalconoid that has been isolated from several plants including "Alpinia katsumadai" and "Alpinia conchigera".  It has received growing attention from the scientific community due to the expectations toward its benefits to human health.

Alpinia purpurata: Alpinia purpurata, red ginger, also called ostrich plume and pink cone ginger, are native Malaysian plants with showy flowers on long brightly colored red bracts.  They look like the bloom, but the true flower is the small white flower on top.

Xerophyllum asphodeloides: Xerophyllum asphodeloides is a North American species of flowering plants in the Melanthiaceae known by the common names turkey beard, eastern turkeybeard, beartongue, grass-leaved helonias, and mountain asphodel.  It is native to the eastern United States, where it occurs in the southern Appalachian Mountains from Virginia to Alabama, and also in the Pine Barrens of New Jersey.

Alpinia: Alpinia is a genus of flowering plants in the ginger family, Zingiberaceae.  It is named for Prospero Alpini, a 17th-century Italian botanist who specialized in exotic plants.  Species are native to Asia, Australia, and the Pacific Islands, where they occur in tropical and subtropical climates.  Several species are cultivated as ornamental plants. Species of the genus are known generally as shell ginger.

Alpinetin: Alpinetin is a phytochemical isolated from a variety of plants including those of the genus "Alpinia".  It is going through tests to see if it is a vasorelaxant.

Xerophyllum tenax: Xerophyllum tenax is a North American species of plants in the corn lily family.  It is known by several common names, including bear grass, squaw grass, soap grass, quip-quip, and Indian basket grass.

Xerophyllum (plant): Xerophyllum is a genus of perennial plants from the family Melanthiaceae.  The genus is native to North America.

Giardino Botanico Alpinia: The Giardino Botanico Alpinia (4 hectares) is a botanical garden specializing in alpine plants, located at 800 m altitude above Stresa on Lake Maggiore, Province of Verbano-Cusio-Ossola, Piedmont, Italy.  It can be reached via the Lido di Carciano - Alpino - Mottarone cable car, and is open daily in the warmer months.

Supporting paragraphs: Alpinia Xerophyllum (plant)
Answer: yes