Τομέας Εφαρμογών και Θεμελιώσεων της Επιστήμης των Υπολογιστών
Διδάσκων
ΑΝΔΡΙΚΟΠΟΥΛΟΣ ΑΘΑΝΑΣΙΟΣ, ΣΤΕΦΑΝΟΠΟΥΛΟΣ ΕΥΑΓΓΕΛΟΣ
Εξάμηνο
Χειμερινό
ECTS
5
ΠΕΡΙΕΧΟΜΕΝΟ ΜΑΘΗΜΑΤΟΣ
Γραμμική Άλγεβρα και εφαρμογές.
Ειδικά θέματα από τη Γραμμική Άλγεβρα που δεν καλύπτονται στο αντίστοιχο μάθημα, όπως το ψευδοαντίστροφο μητρώο, παραγοντοποίηση ιδιαζουσών τιμών (SVD), παραγοντοποίηση Schur.
Σύγχρονες εφαρμογές, όπως Διαδικτυακές μηχανές αναζήτησης, Συμπίεση δεδομένων, Καμπύλες Bezier και χαρακτήρες postscript, Γραφικά υπολογιστών, Αξονική τομογραφία.
Διαδικασίες επίλυσης γραμμικών συστημάτων.
Αλυσίδες Markov.
Διαφορικές εξισώσεις και μοντέλα.
‘Ύπαρξη και μοναδικότητα της λύσης.
Πληθυσμιακά μοντέλα.
Κυκλώματα RLC.
Λύσεις και θεμελιώδεις λύσεις γραμμικών συστημάτων.
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