Arngrímur Jónsson in the context of "Froda"

The Scyldings (OE Scyldingas) or Skjǫldungs (ON Skjǫldungar), both meaning "descendants of Scyld/Skjǫldr", were, according to legends, a clan or dynasty of Danish kings, that in its time conquered and ruled Denmark and Sweden together with part of England, Ireland and North Germany. The name is explained in many texts, such as Friedrich Christoph Dahlmann's 'Research on the Field of History' (German: Forschungen auf dem Gebiete der Geschichte), by the descent of this family from an eponymous king Scyld, but the title is sometimes applied to rulers who purportedly reigned before him, and the supposed king may be an invention to explain the name. There was once a Norse saga on the dynasty, the Skjöldunga saga, but it survives only in a Latin summary by Arngrímur Jónsson.

Fróði (Old Norse: Frōði; Old English: Frōda; Middle High German: Vruote) is the name of a number of legendary Danish kings in various texts including Beowulf, Snorri Sturluson's Prose Edda and his Ynglinga saga, Saxo Grammaticus' Gesta Danorum, and the Grottasǫngr. A Danish king by this name also appears as a minor character in the Middle High German epic Rabenschlacht. The name is possibly an eponym for the god Freyr.

• The Fróði of the Grottasǫngr is said to be the son of Fridleif, the son of Skjǫldr. According to Ynglinga saga it was in this Fróði's beer that King Fjǫlnir drowned. Snorri Sturluson here and in the Skáldskaparmál make this Fróði the contemporary of Roman emperor Augustus and comments on the peacefulness of his reign, referred to as Fróði's Peace, suggesting a relationship to the birth of Christ. Though Icelandic sources make this Fróði a very early Danish king, in Gesta Danorum (Book 5), Saxo puts him late in his series of rulers, though including the chronological equation with Augustus and mentioning the birth of Christ.
• The Fróði who, according to Ynglinga saga and Gesta Danorum, was the father of Halfdan. He would have lived in the 5th or 6th century. He appears to be the same king who later in the Ynglinga saga aided the Swedish king Ongenþeow in defeating the thrall Tunni. Because of this, Egil and his son Ottar (Ohthere) became tributaries to the Danish king.
• Fróði the father of Ingjald, who in Beowulf is Froda the father of Ingeld and king of the Heathobards. The existence of the Heathobards has been forgotten in Norse texts and this Fróði there sometimes appears as the brother of Halfdan with the long hostility between Heathobards and Danes becoming a family feud between Halfdan and his brother Fróði. Fróði kills Halfdan and is himself slain by Halfdan's sons Helgi (Halga) and Hroar (Hrothgar). (In Arngrímur Jónsson's Latin summary to the lost Skjöldunga saga the names Fróði and Ingjald are interchanged. Saxo Grammaticus (Book 6) makes this Fróði instead to be a very late legendary king, the son of Fridleif son of Saxo's late peaceful Fróði. Saxo knows some of the story of this feud but nothing of any relationship to Halfdan. Instead Saxo relates how this Fróði was slain by Saxons and how, after a marriage alliance between his son Ingel and a Saxon princess to heal the feud, Ingel opened it again at the urging of an old warrior, just as the hero Beowulf prophesies of Ingjald in the poem Beowulf.
• A legend from Ydre in the South Swedish highlands tells that a king known as Frode was killed by Urkon, the same cow that created Lake Sommen.

The form Fróði is still in use in Icelandic and Faroese and appears Latinized as Frotho or Frodo. The latter form of the name is used by J. R. R. Tolkien in The Lord of the Rings for the main character of the story, Frodo Baggins. Alternative anglicizations are Frode, Fródi, Fróthi and Frodhi. The Danish, Norwegian and Swedish form is Frode. The meaning of the name is "clever, learned, wise".

Skjöldr (Old Norse Skjǫldr, Icelandic Skjöldur, sometimes Anglicized as Skjold or Skiold, Latinized as Skioldus; Old English Scyld, Proto-Germanic *Skelduz ‘shield’) was among the first legendary Danish kings. He is mentioned in the Prose Edda, in Ynglinga saga, in Chronicon Lethrense, in Sven Aggesen's history, in Arngrímur Jónsson's Latin abstract of the lost Skjöldunga saga and in Saxo Grammaticus' Gesta Danorum. He also appears in the Old English poem Beowulf. The various accounts have little in common.

The Skjöldunga saga (or, in another standardised Old Norse spelling, Skjǫldunga saga) was an Old Norse legendary saga. Dating from c. 1180 – 1200, the saga was lost in its original form. The saga focused on the Danish dynasty of Scylding (Old Norse Skjöldung, plural Skjöldungar), the same semi-legendary dynasty featured in the Old English poem Beowulf. The fragmentary Icelandic text known as Sögubrot af nokkrum fornkonungum is believed to be based on the Skjöldunga saga, perhaps deriving from a late version of that work. Another surviving source that contains material from the saga (and continues where Sögubrot ends) is Arngrimur's Ad catalogum regum Sveciæ annotanda.

Arngrímur Jónsson paraphrased parts of it into Latin, and parts of it are thought to be preserved in other sagas, including Óláfs saga Tryggvasonar en mesta and Ragnarssona þáttr. It may relate to Saxo Grammaticus and contain a version of the story that inspired the lost Ur-Hamlet and ultimately William Shakespeare's Hamlet.